Home

янв

How To Factor

Posted:admin

I really hate to keep asking questions but I just can't figure this out, I don't know what is wrong with me but I can't figure it out. I stared at it for 5 minutes and not a thought came into my head on how to do it that actually accomplished anything.

First off, what is a factor?' Natural number factors' are the complete set of whole numbers, where if you multiply one number in the set by another in the set, you get the number that you're factoring.For example, the number 5 has two factors: 1, and 5. The number 6 has four factors: 1, 2, 3, and 6.' Integer factors' include negative numbers.The number 5 in this case would have four factors: -5, -1, 1, and 5. 6 would have eight factors: -6, -3, -2, -1, 1, 2, 3, and 6.(Natural numbers are numbers without fractions, starting from 1, 2, 3, 4, 5. All the way up to infinity. Integers are natural numbers, as well as their negative counterparts and 0, or.-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5.)Factoring numbers with the natural number set is simple.

Every number has at least two factors. To find other factors, start dividing the number starting from two and working your way up until you reach that number divided by 2. Any quotient that does not have a remainder means that both the divisor and the quotient are factors of that number.Say you need to factor the number 9. You can't divide by two evenly, so we skip it.

(Note the solution, 4.5, so you know when to stop later on.) 9 is divisible by 3, so add 3 to your list of factors. Work your way up until you divide by 5 (9 divided by 2, rounded up). You'll end up with 1, 3, and 9 as a list of factors.When factoring numbers in the integer set, you can just add the negative equivalent of your solutions from natural number factoring in. So 9 would have factors of -9, -3, -1, 1, 3, and 9.Factoring negative numbers can only be done with integer factoring. The solution is the same one you get factoring the positive version of the number.9 has factors of -9, -3, -1, 1, 3, and 9.Zero is the only integer that has an infinite amount of factors, and is the only one that has zero as a factor.

And no, I don't mean factoring the expression of your boss as you tell him you accidentally flooded the break room with coffee.Algebraic expressions consist of numbers, which are called coefficients, and variables, which can be raised to a power. In the expression x ^2 + 6x + 8, 1 is the coefficient of x ^2, the variable. (If you do not see a coefficient before a variable, it's a 1, because x^ 2 is multiplied by 1.) Likewise, 6 is a coefficient of x ^1. (A lone variable is raised to a power of one.) 8 is called a constant - it is not multiplied by a variable. (You can visualize it being multiplied by x ^0, and any number raised to the 0th power is equal to 1).To factor an expression, you have to start by factoring out the GCF, or Greatest Common Factor.

List the factors of each component of the expression. Here we are interested in finding the natural number factors.The expression x ^2 + 6x + 8 would have factors that look like this:x^ 2: 16x: 1, 2, 3, 68: 1, 2, 4, 8If you look at the three lists, there is only one thing that they all share in common, the number one. This means there is no coefficient greater than one to factor out.Then you look at the exponents' powers. Nicolet high school attendance line. If you see a zero, the expression cannot be factored by a variable.This expression is ready for the next step.Here is an example that does have a GCF that needs to be factored out: 2x ^3 + 18x ^2 + 10x.

Factor each part:2x ^3: 1, 218x ^2: 1, 2, 3, 6, 9, 1810x: 1, 2, 5, 10Here we can see that the parts have 1 and 2 in common. We find the largest number, 2.Then we look at the powers of exponents: 3, 2, and 1.

Find the smallest number that isn't 0, in this case the number one. That means x ^1, or simply x, can be divided into the expression.Multiply the number and variable together to get 2x.

You might notice that if you have a list with only one or two rows, there are still separator lines visible. This is the default behaviour and should not be overridden unless you have a really good reason.I am guessing you see only two separator lines because your rows are very tall?If you do really need to remove the separator lines then set the separatorStyle property on your table view to UITableViewCellSeparatorStyleNone. A plain UITableView will always display separator lines even if it is empty. Cara menghapus baris pada tabel di ms word.

Then divide each part of the expression by 2x.2x ^3 / 2x = x^ 218x ^2 / 2x = 9x10x / 2x = 5The expression with the GCF factored out is 2x (x^ 2 + 9x + 5). Note that you must put the factored expression in parentheses and write the GCF next to it. Binomials are expressions with only two terms being added.2x ^2 - 4x is an example of a binomial.

(You can say that a negative 4x is being added to 2x 2.)First, factor out the GCF, 2x. You're left with 2x (x - 2). This is as far as this binomial can go.

Any binomial in the form 1x +/- n cannot be factored further.When you have a binomial that is a variable with an even exponent, added to a negative number that has a square root that is a natural number, it's called a perfect square.x^ 2 - 4 is an example of this. It can be expressed as the product of the square root of the variable plus the square root of the positive constant, and the square root of the variable minus the square root of the positive constant.Huh?Basically, take the square root of the variable. You'll end up with x. Then square root the 4. You'll end up with 2.

If you add them together, you'll get x+2. Subtract them, and you'll get x-2. Multiply the two, and you'll get (x+4)(x-4).

You've just factored a perfect square.If you multiply (x+2)(x-2) together using FOIL, you'll end back up with x ^2-4.(FOIL: First Outer Inner Last, a way of multiplying two binomials together. Multiply the first terms of the binomials (x and x in this case), then the outer two (x and -2), then the inner two (2 and x), then the last terms (2 and -2), then add them all up. X ^2 - 2x + 2x - 4 = x ^2 - 4.)This can be done again if one of the binomials is a perfect square, as in this instance:x ^4 - 16 = (x ^2 + 4) (x^ 2 - 4) = (x ^2 + 4) (x + 2) (x - 2).This can be factored further if you bring in irrational numbers, see step 9.How to factor binomials in the form of (x^ 3 + b^ 3):Just plug into (a - b) (a^ 2 +ab + b ^2). For example, (x^ 3 + 8) = (x - 2) (x ^2 + 2x + 4).How to factor binomials in the form of (x ^3 - b^ 3):Plug into (a + b) (a ^2 - ab + b2).

Note that the first two signs in the expression are switched.(x ^3 - 8) = (x + 2) (x ^2 - 2x + 4).Both examples can be factored further once you learn how to factor trinomials in step 4. Trinomials: An expression with three terms added together. 2x^ 2 + 6x - 8 will serve as our lucky demonstrator.First, factor out the GCF. This will ALWAYS be your first step when factoring ANY expression.2 (x^ 2 + 3x - 4)If you end up with a power of x greater than two after factoring out the GCF, move on to another step.List the integer factors of the constant. You'll want two pair them up like so:-4, 1-2, 2-1, 4You want to find one of these that when added up equals the coefficient of the second term, 3. From here, write out two sets of parentheses with x's inside:(x ) (x )Then stick the two terms that worked into the parentheses.(x - 1) (x + 4)Don't forget to add the GCF back.2 (x - 1) (x + 4)That's how you factor a trinomial.Here's another one: 2x ^2 + 11x - 6.There's a twist this time: The coefficient of x ^2 is not 1.

This means that we will be adding another step:List factors of the constant, -6, as well as the coefficient of x 2, 2.-6, 1-3, 2-2, 3-1, 61, 2Now, you'll want to multiply each of the factors on the left side by 1, and on the right by 2. Repeat by switching the 1 and 2. You'll end up with-6, 2-3, 4-2, 6-1, 12-12, 1-6, 2-4, 3-2, 6Find the pair that adds up to the middle term's coefficient, in this case, -1 + 12 = 11. Set up the parentheses:( x ) ( x )Stick in the original numbers (that you had before multiplying by 1 and 2):( x - 1) ( x + 6)Then stick in the one and two as coefficients of x so that when you multiply the outer and inner terms and add them together, you'll get 11.(2x - 1) (x + 6)If you check your work by FOILing it out, you'll end up with 2x ^2 + 11x - 6, the expression you started with. 9x ^4 + 45x ^2 + 14.Don't you think this expression would be easier to factor with smaller numbers and variable powers?You can substitute a lower number and variable power like so:Set n = 3x ^2 (the GCF of the variable powers, and the square root of the GCF of the coefficients of numbers multiplied by a power of x). Then substitute it in by dividing the terms in the original expression by n.n^ 2 + 15n + 14.Now you can easily factor.(n + 14) (n + 1).Stick the 3x ^2 back into the expression where the n's are.(3x ^2 + 14) (3x ^2 + 1). If none of the combinations you get (from step 4) add up right, you'll have to use the quadratic equation.(-b +/- sqrt (b ^2 - 4ac))/2a(sqrt (#) = square root of #)Where a trinomial has the form ax ^2 + bx + c.So, if you wanted to use the quadratic formula with 1x ^2 + 3x + 2, you'd plug in like so:(-3 +/- sqrt (3^ 2 - 4 (-2) (1)) / 2.This simplifies down to (-3 +/- sqrt 17)/2.

The factors of 1x^ 2 + 3x + 2 would be (x - ((-3 + sqrt 17)/2)) (x - ((-3 - sqrt 17)/2)). (You stick the answer to the right of an 'x - '. More on why that works, in step 8.).

Sometimes you will get four or more terms, that look something like this:2x^2 + 6x^3 + 5x^7 + 15x^8There is no common coefficient, and factoring out x^2 doesn't help much. This is where you would use grouping to factor.Grouping means factoring out the GCF of only two terms of the expression. You can see that 2x^2 + 6x^3 and 5x^7 + 15x^8 both can have a GCF taken out. Do so.2x^2 (1 + 3x) + 5x^7 (1 + 3x)Note that there is a common factor, 1+3x. This expression can be rephrased to (2x^2 + 5x^7) (1 + 3x).

There's your answer.Note that (2x^2 + 5x^7) (1 + 3x) can be factored further by factoring out an x^2 from the first binomial: x^2 (2 + 5x^5) (1 + 3x). Sometimes you'll get beastly polynomials that look like they have no hope.3x ^3 + 8x^ 2 - 9x + 2 is an example. You can't use grouping to factor out a GCF in a way that would produce a common factor.In order to explain how this works, you need to know that when solving an equation by factoring, you need to set the factored out thing equal to 0 and find out what X equals so that it equals zero. For example, 0 = (x - 2) (x + 1). The solutions are 2 and -1.If a polynomial has integer coefficients, every zero, or solution, has the form P/Q, where P = a factor of the constant term, and Q = a factor of the leading coefficient.Basically, if you list all the factors of the constant, and divide them by the factors of the leading coefficient (the coefficient next to the variable with the highest power) in every combination, you will get a list of possible rational solutions.

How does this help you factor? If you get 2 as a solution, you can work backwards and say that one of the factors of the equation was (x - 2).So, back to the example:Factors of 2: +/- 1, +/- 2 (you need to include negatives)Factors of 3: +/- 1, +/- 3P/Q: +/- 1, +/- 1/3, +/- 2, +/- 2/3Once you have your list, you'll use something called synthetic division to see which of those P/Q's are actually solutions.Synthetic division is a way of dividing polynomials by a binomial of the form x-k. I'm not going to explain how it works, but just show how to use it for factoring.First, put one of your P/Q's in a little box or set of parentheses, then list the coefficients and constant in a row next to it. If the polynomial skips a power (x ^2 + 2) then you need to add a 0 for where x 1 should have been.(Expression: 3x^ 3 + 8x ^2 - 9x + 2)(Ignore the asterisks, they're used as placeholders. You now know how to factor any number or expression you'll probably ever come across. Good for you!There are also programs out there that can do this for you. If you google 'polyroot' you'll get links to a few programs for your computer.

The HP 39/40gs graphing calculators have the polyroot function built in. If you have a TI-89 graphing calculator, it also has a factoring function. Earlier model TI graphing calculators don't have it built in, but they do have factoring programs. Google 'ti quadratic solver' for programs you can transfer to your TI graphing calculator.You can also find real solutions to quadratic equations by graphing them and using the 'zero' function to calculate where the graph intersects the x-axis. You can then stick that number next to a 'x -'.Disclaimer: Most math classes either disallow calculators that can factor, or make you clear the memory (along with programs) of programmable calculators. Also, if any solutions have a non-natural root in them, you'll get a long string of decimals which is unsuitable as an answer.

Just learn how to do it by hand. X^2 - 4 is not a perfect square, it's a difference of squares. No pun intended, but there's a difference.

Take note of the fact that it gets factored out to (x + 2)(x - 2). Now x^2 - 8x + 16 is a perfect square. It gets factored out to (x - 4)(x - 4), or just (x - 4)^2. That's what makes it a perfect square. That is not the same as x^2 - 4, which as I mentioned is a difference of squares, because x^2 and 4 are both perfect squares and we are subtracting one from the other. A perfect square is basically a binomial expression that is a monomial multiplied by itself (squared).

It will always result in a trinomial. Even the simplest monomial squared will result in a trinomial. Consider the monomial (x + 1). We see that: (x + 1)^2 = (x + 1)(x + 1) = x^2 + 2x + 1 Or the negative: (x - 1)^2 = (x - 1)(x - 1) = x^2 - 2x + 1. I don't understand how to simplify radical expressions. The whole Factor, Seperate, Simplify thing confuses me.

I get most of it except how they factor and where they get all the random numbers from. I guess I just don't understand how to factor. For example, one of the questions was. 3(cube root) and then the radical sign and then 24n^2 x 3(cube root) and then the radical sign and then 36n^2.

Sorry i don't know how to make it look like the actual problem! How would I factor and solve that? Because obviously i am too dumb to figure it out on my own. Online school is hard for me.

(Redirected from Conversion factor)

Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

1Techniques
2Tables of conversion factors

Techniques[edit]

Process overview[edit]

The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards. Engineering judgment may include such factors as:

The precision and accuracy of measurement and the associated uncertainty of measurement.
The statistical confidence interval or tolerance interval of the initial measurement.
The number of significant figures of the measurement.
The intended use of the measurement including the engineering tolerances.
Historical definitions of the units and their derivatives used in old measurements; e.g., international foot vs. US survey foot.

Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement. This is sometimes called soft conversion. It does not involve changing the physical configuration of the item being measured.

By contrast, a hard conversion or an adaptive conversion may not be exactly equivalent. It changes the measurement to convenient and workable numbers and units in the new system. It sometimes involves a slightly different configuration, or size substitution, of the item.^{[clarification needed]}Nominal values are sometimes allowed and used.

Conversion factors[edit]

A conversion factor is used to change the units of a measured quantity without changing its value. The unity bracket method of unit conversion^[1] consists of a fraction in which the denominator is equal to the numerator, but they are in different units. Because of the identity property of multiplication, the value of a quantity will not change as long as it is multiplied by one.^[2] Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity.

The following example demonstrates how the unity bracket method^[3] is used to convert the rate 5 kilometers per second to meters per second. The symbols km, m, and s represent kilometer, meter, and second, respectively.

${displaystyle {frac {5{cancel {text{km}}}}{text{s}}}cdot }$ ${displaystyle {frac {{1000}{text{ m}}}{{1}{cancel {text{ km}}}}}}$ ${displaystyle =}$ ${displaystyle {frac {5000cdot {text{m}}}{{text{s}}cdot {1}}}=}$ ${displaystyle {frac {5000{text{ m}}}{text{s}}}}$

Thus, it is found that 5 kilometers per second is equal to 5000 meters per second.

Software tools[edit]

There are many conversion tools. They are found in the function libraries of applications such as spreadsheets databases, in calculators, and in macro packages and plugins for many other applications such as the mathematical, scientific and technical applications.

There are many standalone applications that offer the thousands of the various units with conversions. For example, the free software movement offers a command line utility GNU units for Linux and Windows.

Tables of conversion factors[edit]

This article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index. For each physical quantity, a number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit. Conversions between units in the metric system are defined by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10⁻⁶ metre). Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.

Legend
Symbol	Definition
≡	exactly equal
≈	approximately equal to
`digits`	indicates that `digits` repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369..)
(H)	of chiefly historical interest

Length[edit]

Length
Name of unit	Symbol	Definition	Relation to SI units
ångström	Å	≡ 1×10⁻¹⁰ m	≡ 0.1 nm
astronomical unit	AU	≡ 149597870700 m ≈ Distance from Earth to Sun	≡ 149597870700 m^[4]
attometre	am	≡ 1×10⁻¹⁸ m	≡ 1×10⁻¹⁸ m
barleycorn (H)	= ¹⁄₃in (see note above about rounding)	≈ 8.46×10⁻³ m
bohr, atomic unit of length	a₀	= Bohr radius of hydrogen	≈ 5.2917721092(17)×10⁻¹¹ m^[5]
cable length (imperial)	≡ 608 ft	≈ 185.3184 m
cable length (International)	≡ ¹⁄₁₀nmi	≡ 185.2 m
cable length (US)	≡ 720 ft	= 219.456 m
chain (Gunter's; Surveyor's)	ch	≡ 66 ft (US) ≡ 4 rods^[6]	≈ 20.11684 m
cubit (H)	≡ Distance from fingers to elbow ≈ 18 in	≈ 0.5 m
ell (H)	ell	≡ 45 in ^[7] (In England usually)	= 1.143 m
fathom	ftm	≡ 6 ft ^[7]	= 1.8288 m
femtometre	fm	≡ 1×10⁻¹⁵ m	≡ 1×10⁻¹⁵ m
fermi	fm	≡ 1×10⁻¹⁵ m^[7]	≡ 1×10⁻¹⁵ m
finger	≡ ⁷⁄₈ in	= 0.022225 m
finger (cloth)	≡ 4¹⁄₂ in	= 0.1143 m
foot (Benoît) (H)	ft (Ben)	≈ 0.304799735 m
foot (Cape) (H)	Legally defined as 1.033 English feet in 1859	≈ 0.314858 m
foot (Clarke's) (H)	ft (Cla)	≈ 0.3047972654 m
foot (Indian) (H)	ft Ind	≈ 0.304799514 m
foot, metric	mf	≡ √¹⁄₁₀ m^{[citation needed]}	≈ 0.31622776602 m
foot, metric (long)	lmf	≡ ¹⁄₃ m	≡ 0.3 m
foot, metric (short)	smf	≡ 0.30 m	≡ 0.30 m
foot (International)	ft	≡ 0.3048 m ≡ ¹⁄₃ yd ≡ 12 inches	≡ 0.3048 m
foot (Sear's) (H)	ft (Sear)	≈ 0.30479947 m
foot (US Survey)	ft (US)	≡ ¹²⁰⁰⁄₃₉₃₇ m ^[8]	≈ 0.304800610 m
french; charriere	F	≡ ¹⁄₃ mm	= 0.3×10⁻³ m
furlong	fur	≡ 10 chains = 660 ft = 220 yd ^[7]	= 201.168 m
hand	≡ 4 in ^[7]	≡ 0.1016 m
inch (International)	in	≡ 2.54 cm ≡ ¹⁄₃₆ yd ≡ ¹⁄₁₂ ft	≡ 0.0254 m
league (land)	lea	≈ 1 hour walk, Currently defined in US as 3 Statute miles,^[6] but historically varied from 2 to 9 km	≈ 4828 m
light-day	≡ 24 light-hours	≡ 2.59020683712×10¹³ m
light-hour	≡ 60 light-minutes	≡ 1.0792528488×10¹² m
light-minute	≡ 60 light-seconds	≡ 1.798754748×10¹⁰ m
light-second	≡ Distance light travels in one second in vacuum	≡ 299792458 m
light-year	ly	≡ Distance light travels in vacuum in 365.25 days ^[9]	≡ 9.4607304725808×10¹⁵ m
line	ln	≡ ¹⁄₁₂ in ^[10]	= 0.002116 m
link (Gunter's; Surveyor's)	lnk	≡ ¹⁄₁₀₀ ch ^[7] ≡ 0.66 ft (US) ≡ 7.92 in	≈ 0.2011684 m
link (Ramsden's; Engineer's)	lnk	≡ 1 ft ^[7]	= 0.3048 m
metre (SI base unit) (meter)	m	≡ Distance light travels in ¹⁄_299792458 of a second in vacuum.^[11] ≈ ¹⁄_10000000 of the distance from equator to pole.	≡ 1 m
mickey	≡ ¹⁄₂₀₀ in	= 1.27×10⁻⁴ m
micrometre (old: micron)	μ; μm	≡ 1×10⁻⁶ m	≡ 1×10⁻⁶ m
mil; thou	mil	≡ 1×10⁻³ in	≡ 2.54×10⁻⁵ m
mil (Sweden and Norway)	mil	≡ 10 km	= 10000 m
mile (geographical) (H)	≡ 6082 ft	= 1853.7936 m
mile (international)	mi	≡ 80 chains ≡ 5280 ft ≡ 1760 yd	≡ 1609.344 m
mile (tactical or data)	≡ 6000 ft	≡ 1828.8 m
mile (telegraph) (H)	mi	≡ 6087 ft	= 1855.3176 m
mile (US Survey)	mi	≡ 5280 US Survey feet ≡ (5280 × ¹²⁰⁰⁄₃₉₃₇) m	≈ 1609.347219 m
nail (cloth)	≡ 2¹⁄₄ in ^[7]	= 0.05715 m
nanometre	nm	≡ 1×10⁻⁹ m	≡ 1×10⁻⁹ m
nautical league	NL; nl	≡ 3 nmi ^[7]	= 5556 m
nautical mile (Admiralty)	NM (Adm); nmi (Adm)	= 6080 ft	= 1853.184 m
nautical mile (international)	NM; nmi	≡ 1852 m^[12]	≡ 1852 m
nautical mile (US pre 1954)	≡ 1853.248 m	≡ 1853.248 m
pace	≡ 2.5 ft ^[7]	= 0.762 m
palm	≡ 3 in ^[7]	= 0.0762 m
parsec	pc	Distant point with a parallax shift of one arc second from a base of one astronomical unit. ≡ 648000/πAU^[13]^[14]	≈ 30856775814913700 m^[15]
pica	≡ 12 points	Dependent on point measures.
picometre	pm	≡ 1×10⁻¹² m	≡ 1×10⁻¹² m
point (American, English)^[16]^[17]	pt	≡ ¹⁄_72.272in	≈ 0.000351450 m
point (Didot; European) ^[17]^[18]	pt	≡ ¹⁄₁₂ × ¹⁄₇₂ of pied du roi; After 1878: ≡ ⁵⁄₁₃₃ cm	≈ 0.00037597 m; After 1878: ≈ 0.00037593985 m
point (PostScript) ^[16]	pt	≡ ¹⁄₇₂in	= 0.0003527 m
point (TeX) ^[16]	pt	≡ ¹⁄_72.27in	= 0.0003514598 m
quarter	≡ ¹⁄₄ yd	= 0.2286 m
rod; pole; perch (H)	rd	≡ 16¹⁄₂ ft	= 5.0292 m
rope (H)	rope	≡ 20 ft ^[7]	= 6.096 m
shaku (Japan)	≡ 10/33 m	≈ 0.303 0303 m
span (H)	≡ 9 in ^[7]	= 0.2286 m
spat^[19]	≡ 1×10¹² m
stick (H)	≡ 2 in	= 0.0508 m
toise (French, post 1667) (H)	T	≡ 27000/13853 m	≈ 1.949 0363 m
twip	twp	≡ ¹⁄₁₄₄₀ in	= 1.7638×10⁻⁵ m
x unit; siegbahn	xu	≈ 1.0021×10⁻¹³ m ^[7]
yard (International)	yd	≡ 0.9144 m ^[8] ≡ 3 ft ≡ 36 in	≡ 0.9144 m
yoctometre	ym	≡ 1×10⁻²⁴ m	≡ 1×10⁻²⁴ m
zeptometre	zm	≡ 1×10⁻²¹ m	≡ 1×10⁻²¹ m

Area[edit]

Area
Name of unit	Symbol	Definition	Relation to SI units
acre (international)	ac	≡ 1 ch × 10 ch = 4840 sq yd	≡ 4046.8564224 m²
acre (US survey)	ac	≡ 10 sq ch = 4840 sq yd, also 43560 sq ft	≈ 4046.873 m²^[20]
are	a	≡ 100 m²	≡ 100 m²
barn	b	≡ 10⁻²⁸ m²	≡ 10⁻²⁸ m²
barony	≡ 4000 ac	≡ 1.61874256896×10⁷ m²
board	bd	≡ 1 in × 1 ft	≡ 7.74192×10⁻³ m²
boiler horsepower equivalent direct radiation	bhp EDR	≡ 1 ft² × 1 bhp / (240 BTU_IT/h)	≈ 12.958174 m²
circular inch	circ in	≡ ^π⁄₄ sq in	≈ 5.067075×10⁻⁴ m²
circular mil; circular thou	circ mil	≡ ^π⁄₄ mil²	≈ 5.067075×10⁻¹⁰ m²
cord	≡ 192 bd	≡ 1.48644864 m²
cuerda (PR Survey)	cda	≡ 1 cda x 1 cda = 0.971222 acre	≡ 3930.395625 m²
dunam	≡ 1000 m²	= 1000 m²
guntha (India)	≡ 121 sq yd	≈ 101.17 m²
hectare	ha	≡ 10000 m²	≡ 10000 m²
hide	≈ 120 ac (variable)	≈ 5×10⁵ m²
rood	ro	≡ ¹⁄₄ ac	= 1011.7141056 m²
ping	≡ ²⁰⁄₁₁ m × ²⁰⁄₁₁ m	≈ 3.306 m²
section	≡ 1 mi × 1 mi	= 2.589988110336×10⁶ m²
shed	≡ 10⁻⁵² m²	= 10⁻⁵² m²
square (roofing)	≡ 10 ft × 10 ft	= 9.290304 m²
square chain (international)	sq ch	≡ 66 ft × 66 ft = ¹⁄₁₀ ac	≡ 404.68564224 m²
square chain (US Survey)	sq ch	≡ 66 ft (US) × 66 ft (US) = ¹⁄₁₀ US survey acre	≈ 404.6873 m²
square foot	sq ft	≡ 1 ft × 1 ft	≡ 9.290304×10⁻² m²
square foot (US Survey)	sq ft	≡ 1 ft (US) × 1 ft (US)	≈ 9.2903411613275×10⁻² m²
square inch	sq in	≡ 1 in × 1 in	≡ 6.4516×10⁻⁴ m²
square kilometre	km²	≡ 1 km × 1 km	= 10⁶ m²
square link (Gunter's)(International)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft	= 4.0468564224×10⁻² m²
square link (Gunter's)(US Survey)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft (US) × 0.66 ft (US)	≈ 4.046872×10⁻² m²
square link (Ramsden's)	sq lnk	≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft	= 0.09290304 m²
square metre (SI unit)	m²	≡ 1 m × 1 m	= 1 m²
square mil; square thou	sq mil	≡ 1 mil × 1 mil	= 6.4516×10⁻¹⁰ m²
square mile	sq mi	≡ 1 mi × 1 mi	≡ 2.589988110336×10⁶ m²
square mile (US Survey)	sq mi	≡ 1 mi (US) × 1 mi (US)	≈ 2.58999847×10⁶ m²
square rod/pole/perch	sq rd	≡ 1 rd × 1 rd	= 25.29285264 m²
square yard (International)	sq yd	≡ 1 yd × 1 yd	≡ 0.83612736 m²
stremma	≡ 1000 m²	= 1000 m²
township	≡ 36 sq mi (US)	≈ 9.323994×10⁷ m²
yardland	≈ 30 ac	≈ 1.2×10⁵ m²

Volume[edit]

Volume
Name of unit	Symbol	Definition	Relation to SI units
acre-foot	ac ft	≡ 1 ac x 1 ft = 43560 cu ft	= 1233.48183754752 m³
acre-inch	≡ 1 ac × 1 in	= 102.79015312896 m³
barrel (imperial)	bl (imp)	≡ 36 gal (imp)	= 0.16365924 m³
barrel (petroleum); archaic blue-barrel	bl; bbl	≡ 42 gal (US)	= 0.158987294928 m³
barrel (US dry)	bl (US)	≡ 105 qt (US) = 105/32 bu (US lvl)	= 0.115628198985075 m³
barrel (US fluid)	fl bl (US)	≡ 31¹⁄₂ gal (US)	= 0.119240471196 m³
board-foot	fbm	≡ 144 cu in	≡ 2.359737216×10⁻³ m³
bucket (imperial)	bkt	≡ 4 gal (imp)	= 0.01818436 m³
bushel (imperial)	bu (imp)	≡ 8 gal (imp)	= 0.03636872 m³
bushel (US dry heaped)	bu (US)	≡ 1¹⁄₄ bu (US lvl)	= 0.0440488377086 m³
bushel (US dry level)	bu (US lvl)	≡ 2150.42 cu in	= 0.03523907016688 m³
butt, pipe	≡ 126 gal (wine)	= 0.476961884784 m³
coomb	≡ 4 bu (imp)	= 0.14547488 m³
cord (firewood)	≡ 8 ft × 4 ft × 4 ft	= 3.624556363776 m³
cord-foot	≡ 16 cu ft	= 0.453069545472 m³
cubic fathom	cu fm	≡ 1 fm × 1 fm × 1 fm	= 6.116438863872 m³
cubic foot	ft³	≡ 1 ft × 1 ft × 1 ft	≡ 0.028316846592 m³
cubic inch	in³	≡ 1 in × 1 in × 1 in	≡ 16.387064×10⁻⁶ m³
cubic metre (SI unit)	m³	≡ 1 m × 1 m × 1 m	≡ 1 m³
cubic mile	cu mi	≡ 1 mi × 1 mi × 1 mi	≡ 4168181825.440579584 m³
cubic yard	yd³	≡ 27 cu ft	≡ 0.764554857984 m³
cup (breakfast)	≡ 10 fl oz (imp)	= 284.130625×10⁻⁶ m³
cup (Canadian)	c (CA)	≡ 8 fl oz (imp)	= 227.3045×10⁻⁶ m³
cup (metric)	c	≡ 250.0×10⁻⁶ m³	= 250.0×10⁻⁶ m³
cup (US customary)	c (US)	≡ 8 US fl oz ≡ ¹⁄₁₆ gal (US)	= 236.5882365×10⁻⁶ m³
cup (US food nutrition labeling)	c (US)	≡ 240 mL^[21]	= 2.4×10⁻⁴ m³
dash (imperial)	≡ ¹⁄₃₈₄ gi (imp) = ¹⁄₂ pinch (imp)	= 369.961751302083×10⁻⁹ m³
dash (US)	≡ ¹⁄₉₆ US fl oz = ¹⁄₂ US pinch	= 308.057599609375×10⁻⁹ m³
dessertspoon (imperial)	≡ ¹⁄₁₂ gi (imp)	= 11.8387760416×10⁻⁶ m³
drop (imperial)	gtt	≡ ¹⁄₂₈₈ fl oz (imp)	= 98.6564670138×10⁻⁹ m³
drop (imperial) (alt)	gtt	≡ ¹⁄₁₈₂₄ gi (imp)	≈ 77.886684×10⁻⁹ m³
drop (medical)	≡ ^0.9964⁄₁₂ ml	= 83.03×10⁻⁹ m³
drop (medical)	≡ ¹⁄₁₂ ml	= 83.3×10⁻⁹ m³
drop (metric)	≡ ¹⁄₂₀ mL	= 50.0×10⁻⁹ m³
drop (US)	gtt	≡ ¹⁄₃₆₀ US fl oz	= 82.14869322916×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₄₅₆ US fl oz	≈ 64.85423149671×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₅₇₆ US fl oz	≈ 51.34293326823×10⁻⁹ m³
fifth	≡ ¹⁄₅ US gal	= 757.0823568×10⁻⁶ m³
firkin	≡ 9 gal (imp)	= 0.04091481 m³
fluid drachm (imperial)	fl dr	≡ ¹⁄₈ fl oz (imp)	= 3.5516328125×10⁻⁶ m³
fluid dram (US); US fluidram	fl dr	≡ ¹⁄₈ US fl oz	= 3.6966911953125×10⁻⁶ m³
fluid scruple (imperial)	fl s	≡ ¹⁄₂₄ fl oz (imp)	= 1.18387760416×10⁻⁶ m³
gallon (beer)	beer gal	≡ 282 cu in	= 4.621152048×10⁻³ m³
gallon (imperial)	gal (imp)	≡ 4.54609 L	≡ 4.54609×10⁻³ m³
gallon (US dry)	gal (US)	≡ ¹⁄₈ bu (US lvl)	= 4.40488377086×10⁻³ m³
gallon (US fluid; Wine)	gal (US)	≡ 231 cu in	≡ 3.785411784×10⁻³ m³
gill (imperial); Noggin	gi (imp); nog	≡ 5 fl oz (imp)	= 142.0653125×10⁻⁶ m³
gill (US)	gi (US)	≡ 4 US fl oz	= 118.29411825×10⁻⁶ m³
hogshead (imperial)	hhd (imp)	≡ 2 bl (imp)	= 0.32731848 m³
hogshead (US)	hhd (US)	≡ 2 fl bl (US)	= 0.238480942392 m³
jigger (bartending)	≡ 1¹⁄₂ US fl oz	≈ 44.36×10⁻⁶ m³
kilderkin	≡ 18 gal (imp)	= 0.08182962 m³
lambda	λ	≡ 1 mm³	= 1×10⁻⁹ m³
last	≡ 80 bu (imp)	= 2.9094976 m³
litre (liter)	L or l	≡ 1 dm³^[22]	≡ 0.001 m³
load	≡ 50 cu ft	= 1.4158423296 m³
minim (imperial)	min	≡ ¹⁄₄₈₀ fl oz (imp) = 1/60 fl dr (imp)	= 59.1938802083×10⁻⁹ m³
minim (US)	min	≡ ¹⁄₄₈₀ US fl oz = ¹⁄₆₀ US fl dr	= 61.611519921875×10⁻⁹ m³
ounce (fluid imperial)	fl oz (imp)	≡ ¹⁄₁₆₀ gal (imp)	≡ 28.4130625×10⁻⁶ m³
ounce (fluid US customary)	US fl oz	≡ ¹⁄₁₂₈ gal (US)	≡ 29.5735295625×10⁻⁶ m³
ounce (fluid US food nutrition labeling)	US fl oz	≡ 30 mL^[21]	≡ 3×10⁻⁵ m³
peck (imperial)	pk	≡ 2 gal (imp)	= 9.09218×10⁻³ m³
peck (US dry)	pk	≡ ¹⁄₄ US lvl bu	= 8.80976754172×10⁻³ m³
perch	per	≡ 16¹⁄₂ ft × 1¹⁄₂ ft × 1 ft	= 0.700841953152 m³
pinch (imperial)	≡ ¹⁄₁₉₂ gi (imp) = 1/16 tsp (imp)	= 739.92350260416×10⁻⁹ m³
pinch (US)	≡ ¹⁄₄₈ US fl oz = 1/16 US tsp	= 616.11519921875×10⁻⁹ m³
pint (imperial)	pt (imp)	≡ ¹⁄₈ gal (imp)	= 568.26125×10⁻⁶ m³
pint (US dry)	pt (US dry)	≡ ¹⁄₆₄ bu (US lvl) ≡ ¹⁄₈ gal (US dry)	= 550.6104713575×10⁻⁶ m³
pint (US fluid)	pt (US fl)	≡ ¹⁄₈ gal (US)	= 473.176473×10⁻⁶ m³
pony	≡ ³⁄₄ US fl oz	= 22.180147171875×10⁻⁶ m³
pottle; quartern	≡ ¹⁄₂ gal (imp) = 80 fl oz (imp)	= 2.273045×10⁻³ m³
quart (imperial)	qt (imp)	≡ ¹⁄₄ gal (imp)	= 1.1365225×10⁻³ m³
quart (US dry)	qt (US)	≡ ¹⁄₃₂ bu (US lvl) = ¹⁄₄ gal (US dry)	= 1.101220942715×10⁻³ m³
quart (US fluid)	qt (US)	≡ ¹⁄₄ gal (US fl)	= 946.352946×10⁻⁶ m³
quarter; pail	≡ 8 bu (imp)	= 0.29094976 m³
register ton	≡ 100 cu ft	= 2.8316846592 m³
sack (US)	≡ 3 bu (US lvl)	= 0.10571721050064 m³
seam	≡ 8 bu (US lvl)^{[citation needed]}	= 0.28191256133504 m³
shot (US)	usually 1.5 US fl oz^[19]	≈ 44×10⁻⁶ m³
strike (imperial)	≡ 2 bu (imp)	= 0.07273744 m³
strike (US)	≡ 2 bu (US lvl)	= 0.07047814033376 m³
tablespoon (Australian metric)	≡ 20.0×10⁻⁶ m³
tablespoon (Canadian)	tbsp	≡ ¹⁄₂ fl oz (imp)	= 14.20653125×10⁻⁶ m³
tablespoon (imperial)	tbsp	≡ ⁵⁄₈ fl oz (imp)	= 17.7581640625×10⁻⁶ m³
tablespoon (metric)	≡ 15.0×10⁻⁶ m³
tablespoon (US customary)	tbsp	≡ ¹⁄₂ US fl oz	= 14.78676478125×10⁻⁶ m³
tablespoon (US food nutrition labeling)	tbsp	≡ 15 mL^[21]	= 1.5×10⁻⁵ m³
teaspoon (Canadian)	tsp	≡ ¹⁄₆ fl oz (imp)	= 4.735510416×10⁻⁶ m³
teaspoon (imperial)	tsp	≡ ¹⁄₂₄ gi (imp)	= 5.91938802083×10⁻⁶ m³
teaspoon (metric)	≡ 5.0×10⁻⁶ m³	= 5.0×10⁻⁶ m³
teaspoon (US customary)	tsp	≡ ¹⁄₆ US fl oz	= 4.92892159375×10⁻⁶ m³
teaspoon (US food nutrition labeling)	tsp	≡ 5 mL^[21]	= 5×10⁻⁶ m³
timber foot	≡ 1 cu ft	= 0.028316846592 m³
ton (displacement)	≡ 35 cu ft	= 0.99108963072 m³
ton (freight)	≡ 40 cu ft	= 1.13267386368 m³
ton (water)	≡ 28 bu (imp)	= 1.01832416 m³
tun	≡ 252 gal (wine)	= 0.953923769568 m³
wey (US)	≡ 40 bu (US lvl)	= 1.4095628066752 m³

Plane angle[edit]

Plane angle
Name of unit	Symbol	Definition	Relation to SI units
angular mil	µ	≡ ^2π⁄₆₄₀₀ rad	≈ 0.981748×10⁻³ rad
arcminute; MOA	'	≡ ^1°⁄₆₀	≈ 0.290888×10⁻³ rad
arcsecond	'	≡ ^1°⁄₃₆₀₀	≈ 4.848137×10⁻⁶ rad
centesimal minute of arc	'	≡ ¹⁄₁₀₀ grad	≈ 0.157080×10⁻³ rad
centesimal second of arc	'	≡ ¹⁄₁₀₀₀₀ grad	≈ 1.570796×10⁻⁶ rad
degree (of arc)	°	≡ ¹⁄₃₆₀ of a revolution ≡ ^π⁄₁₈₀ rad	≈ 17.453293×10⁻³ rad
grad; gradian; gon	grad	≡ ¹⁄₄₀₀ of a revolution ≡ ^π⁄₂₀₀ rad ≡ 0.9°	≈ 15.707963×10⁻³ rad
octant	≡ 45°	≈ 0.785398 rad
quadrant	≡ 90°	≈ 1.570796 rad
radian (SI unit)	rad	The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians.	= 1 rad
sextant	≡ 60°	≈ 1.047198 rad
sign	≡ 30°	≈ 0.523599 rad

Solid angle[edit]

Solid angle
Name of unit	Symbol	Definition	Relation to SI units
spat	≡ 4π sr^[19] – The solid angle subtended by a sphere at its centre.	≈ 12.56637 sr
square degree	deg²; sq.deg.; (°)²	≡ (^π⁄₁₈₀)² sr	≈ 0.30462×10⁻³ sr
steradian (SI unit)	sr	The solid angle subtended at the center of a sphere of radius r by a portion of the surface of the sphere having an area r². A sphere subtends 4π sr.^[19]	= 1 sr

Mass[edit]

Notes:

See Weight for detail of mass/weight distinction and conversion.
Avoirdupois is a system of mass based on a pound of 16 ounces, while Troy weight is the system of mass where 12 troy ounces equals one troy pound.
In this table, the unit gee is used to denote standard gravity in order to avoid confusion with the 'g' symbol for grams.

Mass
Name of unit	Symbol	Definition	Relation to SI units
atomic mass unit, unified	u; AMU	Same as dalton (see below)	≈ 1.660539040(20)×10⁻²⁷ kg^[6]
atomic unit of mass, electron rest mass	m_e	≈ 9.10938291(40)×10⁻³¹ kg^[23]
bag (coffee)	≡ 60 kg	= 60 kg
bag (Portland cement)	≡ 94 lb av	= 42.63768278 kg
barge	≡ 22¹⁄₂ short ton	= 20411.65665 kg
carat	kt	≡ 3¹⁄₆ gr	= 205.1965483 mg
carat (metric)	ct	≡ 200 mg	= 200 mg
clove	≡ 8 lb av	= 3.62873896 kg
crith	≡ mass of 1 L of hydrogen gas at STP	≈ 89.9349 mg
dalton	Da	1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest	≈ 1.660538921(73)×10⁻²⁷ kg^[6]
dram (apothecary; troy)	dr t	≡ 60 gr	= 3.8879346 g
dram (avoirdupois)	dr av	≡ 27¹¹⁄₃₂ gr	= 1.7718451953125 g
electronvolt	eV	≡ 1 eV (energy unit) / c²	= 1.78266184(45)×10⁻³⁶ kg^[6]
gamma	γ	≡ 1 μg	= 1 μg
grain	gr	≡ ¹⁄₇₀₀₀ lb av	≡ 64.79891 mg
grave	gv.	grave was the original name of the kilogram	≡ 1 kg
hundredweight (long)	long cwt or cwt	≡ 112 lb av	= 50.80234544 kg
hundredweight (short); cental	sh cwt	≡ 100 lb av	= 45.359237 kg
kilogram (kilogramme)	kg	≡ mass of the prototype near Paris ≈ mass of 1 litre of water	≡ 1 kg (SI base unit)^[11]
kip	kip	≡ 1000 lb av	= 453.59237 kg
mark	≡ 8 oz t	= 248.8278144 g
mite	≡ ¹⁄₂₀ gr	= 3.2399455 mg
mite (metric)	≡ ¹⁄₂₀ g	= 50 mg
ounce (apothecary; troy)	oz t	≡ ¹⁄₁₂ lb t	= 31.1034768 g
ounce (avoirdupois)	oz av	≡ ¹⁄₁₆ lb	= 28.349523125 g
ounce (US food nutrition labelling)	oz	≡ 28 g^[21]	= 28 g
pennyweight	dwt; pwt	≡ ¹⁄₂₀ oz t	= 1.55517384 g
point	≡ ¹⁄₁₀₀ ct	= 2 mg
pound (avoirdupois)	lb av	≡ 0.45359237 kg = 7000 grains	≡ 0.45359237 kg
pound (metric)	≡ 500 g	= 500 g
pound (troy)	lb t	≡ 5760 grains	= 0.3732417216 kg
quarter (imperial)	≡ ¹⁄₄ long cwt = 2 st = 28 lb av	= 12.70058636 kg
quarter (informal)	≡ ¹⁄₄ short ton	= 226.796185 kg
quarter, long (informal)	≡ ¹⁄₄ long ton	= 254.0117272 kg
quintal (metric)	q	≡ 100 kg	= 100 kg
scruple (apothecary)	s ap	≡ 20 gr	= 1.2959782 g
sheet	≡ ¹⁄₇₀₀ lb av	= 647.9891 mg
slug; geepound; hyl	slug	≡ 1 ɡ₀ × 1 lb av × 1 s²/ft	≈ 14.593903 kg
stone	st	≡ 14 lb av	= 6.35029318 kg
ton, assay (long)	AT	≡ 1 mg × 1 long ton ÷ 1 oz t	= 32.6 g
ton, assay (short)	AT	≡ 1 mg × 1 short ton ÷ 1 oz t	= 29.16 g
ton, long	long tn or ton	≡ 2240 lb	= 1016.0469088 kg
ton, short	sh tn	≡ 2000 lb	= 907.18474 kg
tonne (mts unit)	t	≡ 1000 kg	= 1000 kg
wey	≡ 252 lb = 18 st	= 114.30527724 kg (variants exist)
Zentner	Ztr.	Definitions vary.^[19]^[24]

Density[edit]

Density
Name of unit	Symbol	Definition	Relation to SI units
gram per millilitre	g/mL	≡ g/mL	= 1000 kg/m³
kilogram per cubic metre (SI unit)	kg/m³	≡ kg/m³	= 1 kg/m³
kilogram per litre	kg/L	≡ kg/L	= 1000 kg/m³
ounce (avoirdupois) per cubic foot	oz/ft³	≡ oz/ft³	≈ 1.001153961 kg/m³
ounce (avoirdupois) per cubic inch	oz/in³	≡ oz/in³	≈ 1.729994044×10³ kg/m³
ounce (avoirdupois) per gallon (imperial)	oz/gal	≡ oz/gal	≈ 6.236023291 kg/m³
ounce (avoirdupois) per gallon (US fluid)	oz/gal	≡ oz/gal	≈ 7.489151707 kg/m³
pound (avoirdupois) per cubic foot	lb/ft³	≡ lb/ft³	≈ 16.01846337 kg/m³
pound (avoirdupois) per cubic inch	lb/in³	≡ lb/in³	≈ 2.767990471×10⁴ kg/m³
pound (avoirdupois) per gallon (imperial)	lb/gal	≡ lb/gal	≈ 99.77637266 kg/m³
pound (avoirdupois) per gallon (US fluid)	lb/gal	≡ lb/gal	≈ 119.8264273 kg/m³
slug per cubic foot	slug/ft³	≡ slug/ft³	≈ 515.3788184 kg/m³

Time[edit]

Time
Name of unit	Symbol	Definition	Relation to SI units
Atomic unit of time	au	≡ a₀/(α·c)	≈ 2.418884254×10⁻¹⁷ s
Callippic cycle	≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d	= 2.396736 Gs or 2.3983776 Gs^{[note 1]}
Century	c	≡ 100 years (100 a)	= 3.1556952 Gs^{[note 2]}^{[note 3]}
Day	d	= 24 h = 1440 min	= 86.4 ks^{[note 3]}
Day (sidereal)	d	≡ Time needed for the Earth to rotate once around its axis, determined from successive transits of a very distant astronomical object across an observer's meridian (International Celestial Reference Frame)	≈ 86.1641 ks
Decade	dec	≡ 10 years (10 a)	= 315.569520 Ms^{[note 2]}^{[note 3]}
Fortnight	fn	≡ 2 wk	= 1.2096 Ms^{[note 3]}
Helek	≡ ¹⁄₁₀₈₀ h	= 3.3 s
Hipparchic cycle	≡ 4 Callippic cycles - 1 d	= 9.593424 Gs
Hour	h	≡ 60 min	= 3.6 ks^{[note 3]}
Jiffy	j	≡ ¹⁄₆₀ s	= 16.6 ms
Jiffy (alternative)	ja	≡ ¹⁄₁₀₀ s	= 10 ms
Ke (quarter of an hour)	≡ ¹⁄₄ h = ¹⁄₉₆ d = 15 min	= 900 s
Ke (traditional)	≡ ¹⁄₁₀₀ d = 14.4 min	= 864 s
Lustre; Lustrum	≡ 5 a of 365 d^{[note 4]}	= 157.68 Ms
Metonic cycle; enneadecaeteris	≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a	= 599.616 Ms
Millennium	≡ 1000 years (1000 a)	= 31.556952 Gs^{[note 2]}^{[note 3]}
Milliday	md	≡ ¹⁄₁₀₀₀ d	= 86.4 s
Minute	min	≡ 60 s, due to leap seconds sometimes 59 s or 61 s,	= 60 s^{[note 3]}
Moment	≡ 90 s	= 90 s
Month (full)	mo	≡ 30 d^[25]	= 2.592×10⁶ s^{[note 3]}
Month (Greg. av.)	mo	= 30.436875 d	≈ 2.6297 Ms^{[note 3]}
Month (hollow)	mo	≡ 29 d^[25]	= 2.5056 Ms^{[note 3]}
Month (synodic)	mo	Cycle time of moon phases ≈ 29.530589 d (average)	≈ 2.551 Ms
Octaeteris	= 48 mo (full) + 48 mo (hollow) + 3 mo (full)^[26]^[27] = 8 a of 365.25 d = 2922 d	= 252.4608 Ms^{[note 3]}
Planck time	≡ (⁄_c⁵)^¹⁄₂	≈ 5.39116×10⁻⁴⁴ s^[28]
Second	s	Time of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom at 0 K^[11] (but other seconds are sometimes used in astronomy). Also that time it takes for light to travel a distance of 299792458 metres.	(SI base unit)
Shake	≡ 10⁻⁸ s	= 10 ns
Sigma	≡ 10⁻⁶ s	= 1 μs
Sothic cycle	≡ 1461 a of 365 d	= 46.074096 Gs
Svedberg	S	≡ 10⁻¹³ s	= 100 fs
Week	wk	≡ 7 d = 168 h = 10080 min	= 604.8 ks^{[note 3]}
Year (common)	a, y, or yr	365 d	= 31.536 Ms^{[note 3]}^{[note 3]}^[29]
Year (Gregorian)	a, y, or yr	= 365.2425 d average, calculated from common years (365 d) plus leap years (366 d) on most years divisible by 4. See leap year for details.	= 31.556952 Ms^{[note 3]}
Year (Julian)	a, y, or yr	= 365.25 d average, calculated from common years (365 d) plus one leap year (366 d) every four years	= 31.5576 Ms
Year (leap)	a, y, or yr	366 d	= 31.6224 Ms^{[note 3]}^[29]
Year (mean tropical)	a, y, or yr	Conceptually, the length of time it takes for the Sun to return to the same position in the cycle of seasons, ^{[Converter 1]} approximately 365.24219 d, each day being 86400 SI seconds^[30]	≈ 31.556925 Ms
Year (sidereal)	a, y, or yr	≡ Time taken for Sun to return to the same position with respect to the stars of the celestial sphere, approximately 365.256363 d	≈ 31.5581497632 Ms
Notes: ^see Callippic cycle for explanation of the differences ^ ^a^b^cThis is based on the average Gregorian year. See above for definition of year lengths. ^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pWhere UTC is observed, the length of this unit may increase or decrease depending on the number of leap seconds which occur during the time interval in question. ^The length of ancient lustral cycles was not constant; see Lustrum for more details

Frequency[edit]

Frequency
Name of unit	Symbol	Definition	Relation to SI units
hertz (SI unit)	Hz	≡ Number of cycles per second	= 1 Hz = 1/s
revolutions per minute	rpm	≡ One unit rpm equals one rotation completed around a fixed axis in one minute of time.	≈ 0.104719755 rad/s

Speed or velocity[edit]

Speed
Name of unit	Symbol	Definition	Relation to SI units
foot per hour	fph	≡ 1 ft/h	= 8.46×10⁻⁵ m/s
foot per minute	fpm	≡ 1 ft/min	= 5.08×10⁻³ m/s
foot per second	fps	≡ 1 ft/s	= 3.048×10⁻¹ m/s
furlong per fortnight	≡ furlong/fortnight	≈ 1.663095×10⁻⁴ m/s
inch per hour	iph	≡ 1 in/h	= 7.05×10⁻⁶ m/s
inch per minute	ipm	≡ 1 in/min	= 4.23×10⁻⁴ m/s
inch per second	ips	≡ 1 in/s	= 2.54×10⁻² m/s
kilometre per hour	km/h	≡ 1 km/h	= 2.7×10⁻¹ m/s
knot	kn	≡ 1 nmi/h = 1.852 km/h	= 0.514 m/s
knot (Admiralty)	kn	≡ 1 NM (Adm)/h = 1.853184 km/h^{[citation needed]}	= 0.514773 m/s
mach number	M	Ratio of the speed to the speed of sound^{[note 1]} in the medium (unitless).	≈ 340 to 295 m/s
metre per second (SI unit)	m/s	≡ 1 m/s	= 1 m/s
mile per hour	mph	≡ 1 mi/h	= 0.44704 m/s
mile per minute	mpm	≡ 1 mi/min	= 26.8224 m/s
mile per second	mps	≡ 1 mi/s	= 1609.344 m/s
speed of light in vacuum	c	≡ 299792458 m/s	= 299792458 m/s
speed of sound in air	s	1225 to 1062 km/h (761–660 mph or 661–574 kn)^{[note 1]}	≈ 340 to 295 m/s
Note ^ ^a^bThe speed of sound varies especially with temperature and pressure from about 1225 km/h (761 mph or 661 kn) in air at sea level to about 1062 km/h (660 mph or 570 kn) at jet altitudes (12200 m or 40000 ft).^[31]

A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.

Flow (volume)[edit]

Flow
Name of unit	Symbol	Definition	Relation to SI units
cubic foot per minute	CFM^{[citation needed]}	≡ 1 ft³/min	= 4.719474432×10⁻⁴ m³/s
cubic foot per second	ft³/s	≡ 1 ft³/s	= 0.028316846592 m³/s
cubic inch per minute	in³/min	≡ 1 in³/min	= 2.7311773×10⁻⁷ m³/s
cubic inch per second	in³/s	≡ 1 in³/s	= 1.6387064×10⁻⁵ m³/s
cubic metre per second (SI unit)	m³/s	≡ 1 m³/s	= 1 m³/s
gallon (US fluid) per day	GPD^{[citation needed]}	≡ 1 gal/d	= 4.381263638×10⁻⁸ m³/s
gallon (US fluid) per hour	GPH^{[citation needed]}	≡ 1 gal/h	= 1.051503273×10⁻⁶ m³/s
gallon (US fluid) per minute	GPM^{[citation needed]}	≡ 1 gal/min	= 6.30901964×10⁻⁵ m³/s
litre per minute	LPM^{[citation needed]}	≡ 1 L/min	= 1.6×10⁻⁵ m³/s

Acceleration[edit]

Acceleration
Name of unit	Symbol	Definition	Relation to SI units
foot per hour per second	fph/s	≡ 1 ft/(h·s)	= 8.46×10⁻⁵ m/s²
foot per minute per second	fpm/s	≡ 1 ft/(min·s)	= 5.08×10⁻³ m/s²
foot per second squared	fps²	≡ 1 ft/s²	= 3.048×10⁻¹ m/s²
gal; galileo	Gal	≡ 1 cm/s²	= 10⁻² m/s²
inch per minute per second	ipm/s	≡ 1 in/(min·s)	= 4.23×10⁻⁴ m/s²
inch per second squared	ips²	≡ 1 in/s²	= 2.54×10⁻² m/s²
knot per second	kn/s	≡ 1 kn/s	≈ 5.14×10⁻¹ m/s²
metre per second squared (SI unit)	m/s²	≡ 1 m/s²	= 1 m/s²
mile per hour per second	mph/s	≡ 1 mi/(h·s)	= 4.4704×10⁻¹ m/s²
mile per minute per second	mpm/s	≡ 1 mi/(min·s)	= 26.8224 m/s²
mile per second squared	mps²	≡ 1 mi/s²	= 1.609344×10³ m/s²
standard gravity	ɡ₀	≡ 9.80665 m/s²	= 9.80665 m/s²

Force[edit]

Force
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of force	≡ ^{m_e·α²·c²}⁄_a₀	≈ 8.23872206×10⁻⁸ N^[32]
dyne (cgs unit)	dyn	≡ g·cm/s²	= 10⁻⁵ N
kilogram-force; kilopond; grave-force	kgf; kp; Gf	≡ ɡ₀ × 1 kg	= 9.80665 N
kip; kip-force	kip; kipf; klbf	≡ ɡ₀ × 1000 lb	= 4.4482216152605×10³ N
milligrave-force, gravet-force	mGf; gf	≡ ɡ₀ × 1 g	= 9.80665 mN
long ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 long ton	= 9.96401641818352×10³ N
newton (SI unit)	N	A force capable of giving a mass of one kilogram an acceleration of one metre per second per second.^[33]	= 1 N = 1 kg·m/s²
ounce-force	ozf	≡ ɡ₀ × 1 oz	= 0.27801385095378125 N
pound-force	lbf	≡ ɡ₀ × 1 lb	= 4.4482216152605 N
poundal	pdl	≡ 1 lb·ft/s²	= 0.138254954376 N
short ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 short ton	= 8.896443230521×10³ N
sthene (mts unit)	sn	≡ 1 t·m/s²	= 10³ N

See also:Conversion between weight (force) and mass

Pressure or mechanical stress[edit]

Pressure
Name of unit	Symbol	Definition	Relation to SI units
atmosphere (standard)	atm	≡ 101325 Pa^[34]
atmosphere (technical)	at	≡ 1 kgf/cm²	= 9.80665×10⁴ Pa^[34]
bar	bar	≡ 10⁵ Pa
barye (cgs unit)	≡ 1 dyn/cm²	= 0.1 Pa
centimetre of mercury	cmHg	≡ 13595.1 kg/m³ × 1 cm × ɡ₀	≈ 1.33322×10³ Pa^[34]
centimetre of water (4 °C)	cmH₂O	≈ 999.972 kg/m³ × 1 cm × ɡ₀	≈ 98.0638 Pa^[34]
foot of mercury (conventional)	ftHg	≡ 13595.1 kg/m³ × 1 ft × ɡ₀	≈ 4.063666×10⁴ Pa^[34]
foot of water (39.2 °F)	ftH₂O	≈ 999.972 kg/m³ × 1 ft × ɡ₀	≈ 2.98898×10³ Pa^[34]
inch of mercury (conventional)	inHg	≡ 13595.1 kg/m³ × 1 in × ɡ₀	≈ 3.386389×10³ Pa^[34]
inch of water (39.2 °F)	inH₂O	≈ 999.972 kg/m³ × 1 in × ɡ₀	≈ 249.082 Pa^[34]
kilogram-force per square millimetre	kgf/mm²	≡ 1 kgf/mm²	= 9.80665×10⁶ Pa^[34]
kip per square inch	ksi	≡ 1 kipf/sq in	≈ 6.894757×10⁶ Pa^[34]
long ton per square foot	≡ 1 long ton × ɡ₀ / 1 sq ft	≈ 1.0725178011595×10⁵ Pa
micrometre of mercury	μmHg	≡ 13595.1 kg/m³ × 1 μm × ɡ₀ ≈ 0.001 torr	≈ 0.1333224 Pa^[34]
millimetre of mercury	mmHg	≡ 13595.1 kg/m³ × 1 mm × ɡ₀ ≈ 1 torr	≈ 133.3224 Pa^[34]
millimetre of water (3.98 °C)	mmH₂O	≈ 999.972 kg/m³ × 1 mm × ɡ₀ = 0.999972 kgf/m²	= 9.80638 Pa
pascal (SI unit)	Pa	≡ N/m² = kg/(m·s²)	= 1 Pa^[35]
pièze (mts unit)	pz	≡ 1000 kg/m·s²	= 10³ Pa = 1 kPa
pound per square foot	psf	≡ 1 lbf/ft²	≈ 47.88026 Pa^[34]
pound per square inch	psi	≡ 1 lbf/in²	≈ 6.894757×10³ Pa^[34]
poundal per square foot	pdl/sq ft	≡ 1 pdl/sq ft	≈ 1.488164 Pa^[34]
short ton per square foot	≡ 1 short ton × ɡ₀ / 1 sq ft	≈ 9.5760518×10⁴ Pa
torr	torr	≡ ¹⁰¹³²⁵⁄₇₆₀ Pa	≈ 133.3224 Pa^[34]

Torque or moment of force[edit]

Torque
Name of unit	Symbol	Definition	Relation to SI units
pound-force-foot	lbf•ft	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 N⋅m
poundal-ft	pdl•ft	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² N⋅m
pound force-inch	lbf•in	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 N⋅m
kilogram force-meter	kgf•m	≡ ɡ₀ × N × m	= 9.80665 N⋅m
Newton metre (SI unit)	N·m	≡ N × m = kg·m²/s²	= 1 N⋅m

Energy[edit]

Energy
Name of unit	Symbol	Definition	Relation to SI units
barrel of oil equivalent	boe	≈ 5.8×10⁶ BTU_{59 °F}	≈ 6.12×10⁹ J
British thermal unit (ISO)	BTU_ISO	≡ 1.0545×10³ J	= 1.0545×10³ J
British thermal unit (International Table)	BTU_IT	= 1.05505585262×10³ J
British thermal unit (mean)	BTU_mean	≈ 1.05587×10³ J
British thermal unit (thermochemical)	BTU_th	≈ 1.054350×10³ J
British thermal unit (39 °F)	BTU_{39 °F}	≈ 1.05967×10³ J
British thermal unit (59 °F)	BTU_{59 °F}	≡ 1.054804×10³ J	= 1.054804×10³ J
British thermal unit (60 °F)	BTU_{60 °F}	≈ 1.05468×10³ J
British thermal unit (63 °F)	BTU_{63 °F}	≈ 1.0546×10³ J
calorie (International Table)	cal_IT	≡ 4.1868 J	= 4.1868 J
calorie (mean)	cal_mean	¹⁄₁₀₀ of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm	≈ 4.19002 J
calorie (thermochemical)	cal_th	≡ 4.184 J	= 4.184 J
Calorie (US; FDA)	Cal	≡ 1 kcal = 1000 cal	= 4184 J
calorie (3.98 °C)	cal_{3.98 °C}	≈ 4.2045 J
calorie (15 °C)	cal_{15 °C}	≡ 4.1855 J	= 4.1855 J
calorie (20 °C)	cal_{20 °C}	≈ 4.1819 J
Celsius heat unit (International Table)	CHU_IT	≡ 1 BTU_IT × 1 K/°R	= 1.899100534716×10³ J
cubic centimetre of atmosphere; standard cubic centimetre	cc atm; scc	≡ 1 atm × 1 cm³	= 0.101325 J
cubic foot of atmosphere; standard cubic foot	cu ft atm; scf	≡ 1 atm × 1 ft³	= 2.8692044809344×10³ J
cubic foot of natural gas	≡ 1000 BTU_IT	= 1.05505585262×10⁶ J
cubic yard of atmosphere; standard cubic yard	cu yd atm; scy	≡ 1 atm × 1 yd³	= 77.4685209852288×10³ J
electronvolt	eV	≡ e × 1 V	≈ 1.602176565(35)×10⁻¹⁹ J
erg (cgs unit)	erg	≡ 1 g·cm²/s²	= 10⁻⁷ J
foot-pound force	ft lbf	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 J
foot-poundal	ft pdl	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² J
gallon-atmosphere (imperial)	imp gal atm	≡ 1 atm × 1 gal (imp)	= 460.63256925 J
gallon-atmosphere (US)	US gal atm	≡ 1 atm × 1 gal (US)	= 383.5568490138 J
hartree, atomic unit of energy	E_h	≡ m_e·α²·c² (= 2 Ry)	≈ 4.359744×10⁻¹⁸ J
horsepower-hour	hp·h	≡ 1 hp × 1 h	= 2.684519537696172792×10⁶ J
inch-pound force	in lbf	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 J
joule (SI unit)	J	The work done when a force of one newton moves the point of its application a distance of one metre in the direction of the force.^[33]	= 1 J = 1 m·N = 1 kg·m²/s² = 1 C·V = 1 W·s
kilocalorie; large calorie	kcal; Cal	≡ 1000 cal_IT	= 4.1868×10³ J
kilowatt-hour; Board of Trade Unit	kW·h; B.O.T.U.	≡ 1 kW × 1 h	= 3.6×10⁶ J
litre-atmosphere	l atm; sl	≡ 1 atm × 1 L	= 101.325 J
quad	≡ 10¹⁵ BTU_IT	= 1.05505585262×10¹⁸ J
rydberg	Ry	≡ R_∞·ℎ·c	≈ 2.179872×10⁻¹⁸ J
therm (E.C.)	≡ 100000 BTU_IT	= 105.505585262×10⁶ J
therm (US)	≡ 100000 BTU_{59 °F}	= 105.4804×10⁶ J
thermie	th	≡ 1 Mcal_IT	= 4.1868×10⁶ J
ton of coal equivalent	TCE	≡ 7 Gcal_th	= 29.288×10⁹ J
tonne of oil equivalent	toe	≡ 10 Gcal_IT	= 41.868×10⁹ J
ton of TNT	tTNT	≡ 1 Gcal_th	= 4.184×10⁹ J

Power or heat flow rate[edit]

Power
Name of unit	Symbol	Definition	Relation to SI units
atmosphere-cubic centimetre per minute	atm ccm^{[citation needed]}	≡ 1 atm × 1 cm³/min	= 1.68875×10⁻³ W
atmosphere-cubic centimetre per second	atm ccs^{[citation needed]}	≡ 1 atm × 1 cm³/s	= 0.101325 W
atmosphere-cubic foot per hour	atm cfh^{[citation needed]}	≡ 1 atm × 1 cu ft/h	= 0.79700124704 W
atmosphere-cubic foot per minute	atm cfm^{[citation needed]}	≡ 1 atm × 1 cu ft/min	= 47.82007468224 W
atmosphere-cubic foot per second	atm cfs^{[citation needed]}	≡ 1 atm × 1 cu ft/s	= 2.8692044809344×10³ W
BTU (International Table) per hour	BTU_IT/h	≡ 1 BTU_IT/h	≈ 0.293071 W
BTU (International Table) per minute	BTU_IT/min	≡ 1 BTU_IT/min	≈ 17.584264 W
BTU (International Table) per second	BTU_IT/s	≡ 1 BTU_IT/s	= 1.05505585262×10³ W
calorie (International Table) per second	cal_IT/s	≡ 1 cal_IT/s	= 4.1868 W
erg per second	erg/s	≡ 1 erg/s	= 10⁻⁷ W
foot-pound-force per hour	ft·lbf/h	≡ 1 ft lbf/h	≈ 3.766161×10⁻⁴ W
foot-pound-force per minute	ft·lbf/min	≡ 1 ft lbf/min	= 2.259696580552334×10⁻² W
foot-pound-force per second	ft·lbf/s	≡ 1 ft lbf/s	= 1.3558179483314004 W
horsepower (boiler)	hp	≈ 34.5 lb/h × 970.3 BTU_IT/lb	≈ 9809.5 W^[36]
horsepower (European electrical)	hp	≡ 75 kp·m/s	= 736 W^{[citation needed]}
horsepower (electrical)	hp	≡ 746 W	= 746 W^[36]
horsepower (mechanical)	hp	≡ 550 ft·lbf/s^[36]	= 745.69987158227022 W
horsepower (metric)	hp or PS	≡ 75 m·kgf/s	= 735.49875 W^[36]
litre-atmosphere per minute	L·atm/min	≡ 1 atm × 1 L/min	= 1.68875 W
litre-atmosphere per second	L·atm/s	≡ 1 atm × 1 L/s	= 101.325 W
lusec	lusec	≡ 1 L·µmHg/s ^[19]	≈ 1.333×10⁻⁴ W
poncelet	p	≡ 100 m·kgf/s	= 980.665 W
square foot equivalent direct radiation	sq ft EDR	≡ 240 BTU_IT/h	≈ 70.337057 W
ton of air conditioning	≡ 2000 lb of ice melted / 24 h	≈ 3504 W
ton of refrigeration (imperial)	≡ 2240 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.938875×10³ W
ton of refrigeration (IT)	≡ 2000 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.516853×10³ W
watt (SI unit)	W	The power which in one second of time gives rise to one joule of energy.^[33]	= 1 W = 1 J/s = 1 N·m/s = 1 kg·m²/s³

Action[edit]

Action
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of action	au	≡ ℏ ≡ ^ℎ⁄_2π	≈ 1.05457168×10⁻³⁴ J·s^[37]

Dynamic viscosity[edit]

Dynamic viscosity
Name of unit	Symbol	Definition	Relation to SI units
pascal second (SI unit)	Pa·s	≡ N·s/m², kg/(m·s)	= 1 Pa·s
poise (cgs unit)	P	≡ 1 barye·s	= 0.1 Pa·s
pound per foot hour	lb/(ft·h)	≡ 1 lb/(ft·h)	≈ 4.133789×10⁻⁴ Pa·s
pound per foot second	lb/(ft·s)	≡ 1 lb/(ft·s)	≈ 1.488164 Pa·s
pound-force second per square foot	lbf·s/ft²	≡ 1 lbf·s/ft²	≈ 47.88026 Pa·s
pound-force second per square inch	lbf·s/in²	≡ 1 lbf·s/in²	≈ 6894.757 Pa·s

Kinematic viscosity[edit]

Kinematic viscosity
Name of unit	Symbol	Definition	Relation to SI units
square foot per second	ft²/s	≡ 1 ft²/s	= 0.09290304 m²/s
square metre per second (SI unit)	m²/s	≡ 1 m²/s	= 1 m²/s
stokes (cgs unit)	St	≡ 1 cm²/s	= 10⁻⁴ m²/s

Electric current[edit]

Electric current
Name of unit	Symbol	Definition	Relation to SI units
ampere (SI base unit)	A	≡ The constant current needed to produce a force of 2 ×10⁻⁷ newton per metre between two straight parallel conductors of infinite length and negligible circular cross-section placed one metre apart in a vacuum.^[11]	= 1 A = 1 C/s
electromagnetic unit; abampere (cgs unit)	abamp	≡ 10 A	= 10 A
esu per second; statampere (cgs unit)	esu/s	≡ ^{0.1 A·m/s}⁄_c	≈ 3.335641×10⁻¹⁰ A

Electric charge[edit]

Electric charge
Name of unit	Symbol	Definition	Relation to SI units
abcoulomb; electromagnetic unit (cgs unit)	abC; emu	≡ 10 C	= 10 C
atomic unit of charge	au	≡ e	≈ 1.602176462×10⁻¹⁹ C
coulomb	C	≡ The amount of electricity carried in one second of time by one ampere of current.^[33]	= 1 C = 1 A·s
faraday	F	≡ 1 mol × N_A·e	≈ 96485.3383 C
milliampere hour	mA·h	≡ 0.001 A × 1 h	= 3.6 C
statcoulomb; franklin; electrostatic unit (cgs unit)	statC; Fr; esu	≡ ^{0.1 A·m}⁄_c	≈ 3.335641×10⁻¹⁰ C

Electric dipole[edit]

Electric dipole
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of electric dipole moment	ea₀	≈ 8.47835281×10⁻³⁰ C·m^[38]
coulomb meter	C·m	= 1 C · 1 m
debye	D	= 10⁻¹⁰ esu·Å	= 3.33564095×10⁻³⁰ C·m^[39]

Electromotive force, electric potential difference[edit]

Voltage, electromotive force
Name of unit	Symbol	Definition	Relation to SI units
abvolt (cgs unit)	abV	≡ 10⁻⁸ V	= 10⁻⁸ V
statvolt (cgs unit)	statV	≡ c·(1 μJ/A·m)	= 299.792458 V
volt (SI unit)	V	The difference in electric potential across two points along a conducting wire carrying one ampere of constant current when the power dissipated between the points equals one watt.^[33]	= 1 V = 1 W/A = 1 kg·m²/(A·s³)

Electrical resistance[edit]

Electrical resistance
Name of unit	Symbol	Definition	Relation to SI units
ohm (SI unit)	Ω	The resistance between two points in a conductor when one volt of electric potential difference, applied to these points, produces one ampere of current in the conductor.^[33]	= 1 Ω = 1 V/A = 1 kg·m²/(A²·s³)

Capacitance[edit]

Capacitor's ability to store charge
Name of unit	Symbol	Definition	Relation to SI units
farad (SI unit)	F	The capacitance between two parallel plates that results in one volt of potential difference when charged by one coulomb of electricity.^[33]	= 1 F = 1 C/V = 1 A²·s⁴/(kg·m²)

Magnetic flux[edit]

magnetic flux
Name of unit	Symbol	Definition	Relation to SI units
maxwell (CGS unit)	Mx	≡ 10⁻⁸ Wb^[36]	= 10⁻⁸ Wb
weber (SI unit)	Wb	Magnetic flux which, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second.^[33]	= 1 Wb = 1 V·s = 1 kg·m²/(A·s²)

Magnetic flux density[edit]

What physicists call Magnetic field is called Magnetic flux density by electrical engineers and magnetic induction by applied mathematicians and electrical engineers.
Name of unit	Symbol	Definition	Relation to SI units
gauss (CGS unit)	G	≡ Mx/cm² = 10⁻⁴ T	= 10⁻⁴ T ^[40]
tesla (SI unit)	T	≡ Wb/m²	= 1 T = 1 Wb/m²= 1 kg/(A·s²)

Inductance[edit]

Inductance
Name of unit	Symbol	Definition	Relation to SI units
henry (SI unit)	H	The inductance of a closed circuit that produces one volt of electromotive force when the current in the circuit varies at a uniform rate of one ampere per second.^[33]	= 1 H = 1 Wb/A = 1 kg·m²/(A·s)²

Temperature[edit]

Temperature
Name of unit	Symbol	Definition	Relation to SI units
degree Celsius	°C	[°C] ≡ [K] − 273.15	[K] ≡ [°C] + 273.15
degree Delisle	°De	[K] = 373.15 − [°De] × ²⁄₃
degree Fahrenheit	°F	[°F] ≡ [°C] × ⁹⁄₅ + 32	[K] ≡ ([°F] + 459.67) × ⁵⁄₉
degree Newton	°N	[K] = [°N] × ¹⁰⁰⁄₃₃ + 273.15
degree Rankine	°R;	[°R] ≡ [K] × ⁹⁄₅	[K] ≡ [°R] × 5/9
degree Réaumur	°Ré	[K] = [°Ré] × ⁵⁄₄ + 273.15
degree Rømer	°Rø	[K] = ([°Rø] − 7.5) × ⁴⁰⁄₂₁ + 273.15
Regulo Gas Mark	GM;	[°F] ≡ [GM] × 25 + 300	[K] ≡ [GM] × ¹²⁵⁄₉ + 422.038
kelvin (SI base unit)	K	≡ ¹⁄_273.16 of the thermodynamic temperature of the triple point of water.^[11]	≡ 1 K

Information entropy[edit]

Information entropy
Name of unit	Symbol	Definition	Relation to SI units	Relation to bits
natural unit of information; nip; nepit	nat
shannon; bit	Sh; bit; b	≡ ln(2) × nat	≈ 0.693147nat	= 1 bit
hartley; ban	Hart; ban	≡ ln(10) × nat	≈ 2.302585nat
nibble	≡ 4 bits	= 2² bit
byte	B	≡ 8 bits	= 2³ bit
kilobyte (decimal)	kB	≡ 1000 B	= 8000 bit
kilobyte (kibibyte)	KB; KiB	≡ 1024 B	= 2¹³ bit = 8192 bit

Modern standards (such as ISO 80000) prefer the shannon to the bit as a unit for a quantity of information entropy, whereas the (discrete) storage space of digital devices is measured in bits. Thus, uncompressed redundant data occupy more than one bit of storage per shannon of information entropy. The multiples of a bit listed above are usually used with this meaning.

Luminous intensity[edit]

The candela is the preferred nomenclature for the SI unit.

Luminous intensity
Name of unit	Symbol	Definition	Relation to SI units
candela (SI base unit); candle	cd	The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×10¹² hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.^[11]	= 1 cd
candlepower (new)	cp	≡ cd The use of candlepower as a unit is discouraged due to its ambiguity.	= 1 cd
candlepower (old, pre-1948)	cp	Varies and is poorly reproducible.^[41] Approximately 0.981 cd.^[19]	≈ 0.981 cd

Luminance[edit]

Luminance
Name of unit	Symbol	Definition	Relation to SI units
candela per square foot	cd/ft²	≡ cd/ft²	≈ 10.763910417 cd/m²
candela per square inch	cd/in²	≡ cd/in²	≈ 1550.0031 cd/m²
candela per square metre (SI unit); nit (deprecated^[19])	cd/m²	≡ cd/m²	= 1 cd/m²
footlambert	fL	≡ (1/π) cd/ft²	≈ 3.4262590996 cd/m²
lambert	L	≡ (10⁴/π) cd/m²	≈ 3183.0988618 cd/m²
stilb (CGS unit)	sb	≡ 10⁴ cd/m²	= 10⁴ cd/m²

Luminous flux[edit]

Luminous flux
Name of unit	Symbol	Definition	Relation to SI units
lumen (SI unit)	lm	≡ cd·sr	= 1 lm = 1 cd·sr

Illuminance[edit]

Illuminance
Name of unit	Symbol	Definition	Relation to SI units
footcandle; lumen per square foot	fc	≡ lm/ft²	= 10.763910417 lx
lumen per square inch	lm/in²	≡ lm/in²	≈ 1550.0031 lx
lux (SI unit)	lx	≡ lm/m²	= 1 lx = 1 lm/m²
phot (CGS unit)	ph	≡ lm/cm²	= 10⁴ lx

Radiation – source activity[edit]

Radioactivity
Name of unit	Symbol	Definition	Relation to SI units
becquerel (SI unit)	Bq	≡ Number of disintegrations per second	= 1 Bq = 1/s
curie	Ci	≡ 3.7×10¹⁰ Bq^[42]	= 3.7×10¹⁰ Bq
rutherford (H)	rd	≡ 1 MBq	= 10⁶ Bq

Although becquerel (Bq) and hertz (Hz) both ultimately refer to the same SI base unit (s⁻¹), Hz is used only for periodic phenomena (i.e. repetitions at regular intervals), and Bq is only used for stochastic processes (i.e. at random intervals) associated with radioactivity.^[43]

Radiation – exposure[edit]

Radiation - exposure
Name of unit	Symbol	Definition	Relation to SI units
roentgen	R	1 R ≡ 2.58×10⁻⁴ C/kg^[36]	= 2.58×10⁻⁴ C/kg

The roentgen is not an SI unit and the NIST strongly discourages its continued use.^[44]

Radiation – absorbed dose[edit]

Radiation - absorbed dose
Name of unit	Symbol	Definition	Relation to SI units
gray (SI unit)	Gy	≡ 1 J/kg = 1 m²/s²^[45]	= 1 Gy
rad	rad	≡ 0.01 Gy^[36]	= 0.01 Gy

Radiation – equivalent dose[edit]

Radiation - equivalent dose
Name of unit	Symbol	Definition	Relation to SI units
Röntgen equivalent man	rem	≡ 0.01 Sv	= 0.01 Sv
sievert (SI unit)	Sv	≡ 1 J/kg^[43]	= 1 Sv

Although the definitions for sievert (Sv) and gray (Gy) would seem to indicate that they measure the same quantities, this is not the case. The effect of receiving a certain dose of radiation (given as Gy) is variable and depends on many factors, thus a new unit was needed to denote the biological effectiveness of that dose on the body; this is known as the equivalent dose and is shown in Sv. The general relationship between absorbed dose and equivalent dose can be represented as

H = Q · D

where H is the equivalent dose, D is the absorbed dose, and Q is a dimensionless quality factor. Thus, for any quantity of D measured in Gy, the numerical value for H measured in Sv may be different.^[46]

Notes and references[edit]

^Béla Bodó; Colin Jones (26 June 2013). Introduction to Soil Mechanics. John Wiley & Sons. pp. 9–. ISBN978-1-118-55388-6.
^'Identity property of multiplication'. Retrieved 2015-09-09.
^David V. Chadderton (2004). Building Services Engineering. Taylor & Francis. pp. 33–. ISBN978-0-415-31535-7.
^jobs (September 14, 2012). 'The astronomical unit gets fixed : Nature News & Comment'. Nature.com. doi:10.1038/nature.2012.11416. Retrieved August 31, 2013.
^'NIST Reference on Constants, Units, and Uncertainty.'(2010). National Institute of Standards and Technology. Retrieved October 17, 2014.
^ ^a^b^c^d^e'NIST - National Institute of Standards and Technology'. NIST.
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿLide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
^ ^a^bNational Bureau of Standards. (June 30, 1959). Refinement of values for the yard and the pound. Federal Register, viewed September 20, 2006 at National Geodetic Survey web site.
^'International Astronomical Union - IAU'. www.iau.org.
^Klein, Herbert Arthur.(1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
^ ^a^b^c^d^e^fThe International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on October 1, 2009, retrieved August 26, 2009
^International System of Units,Archived August 21, 2008, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
^Cox, Arthur N., ed. (2000). Allen's Astrophysical Quantities (4th ed.). New York: AIP Press / Springer. Bibcode:2000asqu.book...C. ISBN0387987460.
^Binney, James; Tremaine, Scott (2008). Galactic Dynamics (2nd ed.). Princeton, NJ: Princeton University Press. Bibcode:2008gady.book...B. ISBN978-0-691-13026-2.
^P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
^ ^a^b^cWhitelaw, Ian. (2007). A Measure of All Things: The Story of Man and Measurement. New York: Macmillan 0-312-37026-1. p. 152.
^ ^a^bDe Vinne, Theodore Low (1900). The practice of typography: a treatise on the processes of type-making, the point system, the names, sizes, styles and prices of plain printing types 2nd ed. New York: The Century Co. p. 142–150.
^Pasko, Wesley Washington (1894). American dictionary of printing and bookmaking. (1894). New York: Howard Lockwood. p. 521.
^ ^a^b^c^d^e^f^g^hRowlett, Russ (2005), How Many? A Dictionary of Units of Measurement
^Thompson, A. and Taylor, B.N. (2008). Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology Special Publication 811. p. 57.
^ ^a^b^c^d^eUS Code of Federal Regulations, Title 21, Section 101.9, Paragraph (b)(5)(viii), archived from the original on August 13, 2009, retrieved August 29, 2009
^Barry N. Taylor, Ed.,NIST Special Publication 330: The International System of Units (SI) (2001 Edition), Washington: US Government Printing Office, 43,'The 12th Conference Generale des Poids et Mesures (CGPM)..declares that the word 'litre' may be employed as a special name for the cubic decimetre'.
^CODATA Value: atomic unit of mass. (2010). National Institute of Standards and Technology. Retrieved 29 May 2015.
^The Swiss Federal Office for Metrology gives Zentner on a German language web page 'Archived copy'. Archived from the original on 2006-09-28. Retrieved 2006-10-09.CS1 maint: archived copy as title (link) and quintal on the English translation of that page 'Archived copy'. Archived from the original on 2001-03-09. Retrieved 2006-10-09.CS1 maint: archived copy as title (link); the unit is marked 'spécifiquement suisse !'
^ ^a^bPedersen O. (1983). 'Glossary' in Coyne, G., Hoskin, M., and Pedersen, O. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican Observatory. Available from Astrophysics Data System.
^Richards, E.G. (1998), Mapping Time, Oxford University Press, pp. 94–95, ISBN0-19-850413-6
^Steel, Duncan (2000), Marking Time, John Wiley & Sons, p. 46, ISBN0-471-29827-1
^'CODATA Value: Planck time'. physics.nist.gov. Retrieved 2018-06-20.
^ ^a^bRichards, E. G. (2013). 'Calendars' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books.
^Richards, E. G. (2013). 'Calendars' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books. p. 587.
^Tom Benson. (2010.) 'Mach Number' in Beginner's Guide to Aeronautics. NASA.
^CODATA Value: atomic unit of force. (2006). National Institute of Standards and Technology. Retrieved September 14, 2008.
^ ^a^b^c^d^e^f^g^hⁱComité International des Poids et Mesures, Resolution 2, 1946, retrieved August 26, 2009
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pBarry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, pp. 57–68.
^Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, p. 5.
^ ^a^b^c^d^e^f^gNIST Guide to SI Units, Appendix B.9, retrieved August 27, 2009
^International System of Units,Archived July 16, 2012, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 7.
^The NIST Reference on Constants, Units, and Uncertainty, 2006, retrieved August 26, 2009
^Robert G. Mortimer Physical chemistry,Academic Press, 2000 ISBN0-12-508345-9, page 677
^Standard for the Use of the International System of Units (SI): The Modern Metric System IEEE/ASTM SI 10-1997. (1997). New York and West Conshohocken, PA: Institute of Electrical and Electronics Engineers and American Society for Testing and Materials. Tables A.1 through A.5.
^The NIST Reference on Constants, Units, and Uncertainty, retrieved August 28, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 10.
^ ^a^bThe International System of Units, Section 2.2.2., Table 3 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on June 18, 2007, retrieved August 27, 2009
^The NIST Guide to the SI (Special Publication 811), section 5.2, 2008, retrieved August 27, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 5.
^Comité international des poids et mesures, 2002, Recommendation 2, retrieved August 27, 2009

Notes

^The technical definition of tropical year is the period of time for the ecliptic longitude of the Sun to increase 360 degrees. (Urban & Seidelmann 2013, Glossary, s.v. year, tropical)

External links[edit]

Wikibooks has a book on the topic of: FHSST Physics Units:How to Change Units

Wikivoyage has a travel guide for Metric and Imperial equivalents.

Statutory Instrument 1995 No. 1804Units of measurement regulations 1995 From legislation.gov.uk
'NIST: Fundamental physical constants — Non-SI units'(PDF). Archived from the original(PDF) on 2016-12-27. Retrieved 2004-03-15.(35.7 KB)
NIST Guide to SI Units Many conversion factors listed.
Units of Measurement Software at Curlie
Units of Measurement Online Conversion at Curlie

Retrieved from 'https://en.wikipedia.org/w/index.php?title=Conversion_of_units&oldid=916110171'

Techniques[edit]

Process overview[edit]

The precision and accuracy of measurement and the associated uncertainty of measurement.
The statistical confidence interval or tolerance interval of the initial measurement.
The number of significant figures of the measurement.
The intended use of the measurement including the engineering tolerances.
Historical definitions of the units and their derivatives used in old measurements; e.g., international foot vs. US survey foot.

Conversion factors[edit]

$\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$

Thus, it is found that 5 kilometers per second is equal to 5000 meters per second.

Software tools[edit]

Tables of conversion factors[edit]

Legend
Symbol	Definition
≡	exactly equal
≈	approximately equal to
`digits`	indicates that `digits` repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369..)
(H)	of chiefly historical interest

Length[edit]

Length
Name of unit	Symbol	Definition	Relation to SI units
ångström	Å	≡ 1×10⁻¹⁰ m	≡ 0.1 nm
astronomical unit	AU	≡ 149597870700 m ≈ Distance from Earth to Sun	≡ 149597870700 m^[4]
attometre	am	≡ 1×10⁻¹⁸ m	≡ 1×10⁻¹⁸ m
barleycorn (H)	= ¹⁄₃in (see note above about rounding)	≈ 8.46×10⁻³ m
bohr, atomic unit of length	a₀	= Bohr radius of hydrogen	≈ 5.2917721092(17)×10⁻¹¹ m^[5]
cable length (imperial)	≡ 608 ft	≈ 185.3184 m
cable length (International)	≡ ¹⁄₁₀nmi	≡ 185.2 m
cable length (US)	≡ 720 ft	= 219.456 m
chain (Gunter\'s; Surveyor\'s)	ch	≡ 66 ft (US) ≡ 4 rods^[6]	≈ 20.11684 m
cubit (H)	≡ Distance from fingers to elbow ≈ 18 in	≈ 0.5 m
ell (H)	ell	≡ 45 in ^[7] (In England usually)	= 1.143 m
fathom	ftm	≡ 6 ft ^[7]	= 1.8288 m
femtometre	fm	≡ 1×10⁻¹⁵ m	≡ 1×10⁻¹⁵ m
fermi	fm	≡ 1×10⁻¹⁵ m^[7]	≡ 1×10⁻¹⁵ m
finger	≡ ⁷⁄₈ in	= 0.022225 m
finger (cloth)	≡ 4¹⁄₂ in	= 0.1143 m
foot (Benoît) (H)	ft (Ben)	≈ 0.304799735 m
foot (Cape) (H)	Legally defined as 1.033 English feet in 1859	≈ 0.314858 m
foot (Clarke\'s) (H)	ft (Cla)	≈ 0.3047972654 m
foot (Indian) (H)	ft Ind	≈ 0.304799514 m
foot, metric	mf	≡ √¹⁄₁₀ m^{[citation needed]}	≈ 0.31622776602 m
foot, metric (long)	lmf	≡ ¹⁄₃ m	≡ 0.3 m
foot, metric (short)	smf	≡ 0.30 m	≡ 0.30 m
foot (International)	ft	≡ 0.3048 m ≡ ¹⁄₃ yd ≡ 12 inches	≡ 0.3048 m
foot (Sear\'s) (H)	ft (Sear)	≈ 0.30479947 m
foot (US Survey)	ft (US)	≡ ¹²⁰⁰⁄₃₉₃₇ m ^[8]	≈ 0.304800610 m
french; charriere	F	≡ ¹⁄₃ mm	= 0.3×10⁻³ m
furlong	fur	≡ 10 chains = 660 ft = 220 yd ^[7]	= 201.168 m
hand	≡ 4 in ^[7]	≡ 0.1016 m
inch (International)	in	≡ 2.54 cm ≡ ¹⁄₃₆ yd ≡ ¹⁄₁₂ ft	≡ 0.0254 m
league (land)	lea	≈ 1 hour walk, Currently defined in US as 3 Statute miles,^[6] but historically varied from 2 to 9 km	≈ 4828 m
light-day	≡ 24 light-hours	≡ 2.59020683712×10¹³ m
light-hour	≡ 60 light-minutes	≡ 1.0792528488×10¹² m
light-minute	≡ 60 light-seconds	≡ 1.798754748×10¹⁰ m
light-second	≡ Distance light travels in one second in vacuum	≡ 299792458 m
light-year	ly	≡ Distance light travels in vacuum in 365.25 days ^[9]	≡ 9.4607304725808×10¹⁵ m
line	ln	≡ ¹⁄₁₂ in ^[10]	= 0.002116 m
link (Gunter\'s; Surveyor\'s)	lnk	≡ ¹⁄₁₀₀ ch ^[7] ≡ 0.66 ft (US) ≡ 7.92 in	≈ 0.2011684 m
link (Ramsden\'s; Engineer\'s)	lnk	≡ 1 ft ^[7]	= 0.3048 m
metre (SI base unit) (meter)	m	≡ Distance light travels in ¹⁄_299792458 of a second in vacuum.^[11] ≈ ¹⁄_10000000 of the distance from equator to pole.	≡ 1 m
mickey	≡ ¹⁄₂₀₀ in	= 1.27×10⁻⁴ m
micrometre (old: micron)	μ; μm	≡ 1×10⁻⁶ m	≡ 1×10⁻⁶ m
mil; thou	mil	≡ 1×10⁻³ in	≡ 2.54×10⁻⁵ m
mil (Sweden and Norway)	mil	≡ 10 km	= 10000 m
mile (geographical) (H)	≡ 6082 ft	= 1853.7936 m
mile (international)	mi	≡ 80 chains ≡ 5280 ft ≡ 1760 yd	≡ 1609.344 m
mile (tactical or data)	≡ 6000 ft	≡ 1828.8 m
mile (telegraph) (H)	mi	≡ 6087 ft	= 1855.3176 m
mile (US Survey)	mi	≡ 5280 US Survey feet ≡ (5280 × ¹²⁰⁰⁄₃₉₃₇) m	≈ 1609.347219 m
nail (cloth)	≡ 2¹⁄₄ in ^[7]	= 0.05715 m
nanometre	nm	≡ 1×10⁻⁹ m	≡ 1×10⁻⁹ m
nautical league	NL; nl	≡ 3 nmi ^[7]	= 5556 m
nautical mile (Admiralty)	NM (Adm); nmi (Adm)	= 6080 ft	= 1853.184 m
nautical mile (international)	NM; nmi	≡ 1852 m^[12]	≡ 1852 m
nautical mile (US pre 1954)	≡ 1853.248 m	≡ 1853.248 m
pace	≡ 2.5 ft ^[7]	= 0.762 m
palm	≡ 3 in ^[7]	= 0.0762 m
parsec	pc	Distant point with a parallax shift of one arc second from a base of one astronomical unit. ≡ 648000/πAU^[13]^[14]	≈ 30856775814913700 m^[15]
pica	≡ 12 points	Dependent on point measures.
picometre	pm	≡ 1×10⁻¹² m	≡ 1×10⁻¹² m
point (American, English)^[16]^[17]	pt	≡ ¹⁄_72.272in	≈ 0.000351450 m
point (Didot; European) ^[17]^[18]	pt	≡ ¹⁄₁₂ × ¹⁄₇₂ of pied du roi; After 1878: ≡ ⁵⁄₁₃₃ cm	≈ 0.00037597 m; After 1878: ≈ 0.00037593985 m
point (PostScript) ^[16]	pt	≡ ¹⁄₇₂in	= 0.0003527 m
point (TeX) ^[16]	pt	≡ ¹⁄_72.27in	= 0.0003514598 m
quarter	≡ ¹⁄₄ yd	= 0.2286 m
rod; pole; perch (H)	rd	≡ 16¹⁄₂ ft	= 5.0292 m
rope (H)	rope	≡ 20 ft ^[7]	= 6.096 m
shaku (Japan)	≡ 10/33 m	≈ 0.303 0303 m
span (H)	≡ 9 in ^[7]	= 0.2286 m
spat^[19]	≡ 1×10¹² m
stick (H)	≡ 2 in	= 0.0508 m
toise (French, post 1667) (H)	T	≡ 27000/13853 m	≈ 1.949 0363 m
twip	twp	≡ ¹⁄₁₄₄₀ in	= 1.7638×10⁻⁵ m
x unit; siegbahn	xu	≈ 1.0021×10⁻¹³ m ^[7]
yard (International)	yd	≡ 0.9144 m ^[8] ≡ 3 ft ≡ 36 in	≡ 0.9144 m
yoctometre	ym	≡ 1×10⁻²⁴ m	≡ 1×10⁻²⁴ m
zeptometre	zm	≡ 1×10⁻²¹ m	≡ 1×10⁻²¹ m

Area[edit]

Area
Name of unit	Symbol	Definition	Relation to SI units
acre (international)	ac	≡ 1 ch × 10 ch = 4840 sq yd	≡ 4046.8564224 m²
acre (US survey)	ac	≡ 10 sq ch = 4840 sq yd, also 43560 sq ft	≈ 4046.873 m²^[20]
are	a	≡ 100 m²	≡ 100 m²
barn	b	≡ 10⁻²⁸ m²	≡ 10⁻²⁸ m²
barony	≡ 4000 ac	≡ 1.61874256896×10⁷ m²
board	bd	≡ 1 in × 1 ft	≡ 7.74192×10⁻³ m²
boiler horsepower equivalent direct radiation	bhp EDR	≡ 1 ft² × 1 bhp / (240 BTU_IT/h)	≈ 12.958174 m²
circular inch	circ in	≡ ^π⁄₄ sq in	≈ 5.067075×10⁻⁴ m²
circular mil; circular thou	circ mil	≡ ^π⁄₄ mil²	≈ 5.067075×10⁻¹⁰ m²
cord	≡ 192 bd	≡ 1.48644864 m²
cuerda (PR Survey)	cda	≡ 1 cda x 1 cda = 0.971222 acre	≡ 3930.395625 m²
dunam	≡ 1000 m²	= 1000 m²
guntha (India)	≡ 121 sq yd	≈ 101.17 m²
hectare	ha	≡ 10000 m²	≡ 10000 m²
hide	≈ 120 ac (variable)	≈ 5×10⁵ m²
rood	ro	≡ ¹⁄₄ ac	= 1011.7141056 m²
ping	≡ ²⁰⁄₁₁ m × ²⁰⁄₁₁ m	≈ 3.306 m²
section	≡ 1 mi × 1 mi	= 2.589988110336×10⁶ m²
shed	≡ 10⁻⁵² m²	= 10⁻⁵² m²
square (roofing)	≡ 10 ft × 10 ft	= 9.290304 m²
square chain (international)	sq ch	≡ 66 ft × 66 ft = ¹⁄₁₀ ac	≡ 404.68564224 m²
square chain (US Survey)	sq ch	≡ 66 ft (US) × 66 ft (US) = ¹⁄₁₀ US survey acre	≈ 404.6873 m²
square foot	sq ft	≡ 1 ft × 1 ft	≡ 9.290304×10⁻² m²
square foot (US Survey)	sq ft	≡ 1 ft (US) × 1 ft (US)	≈ 9.2903411613275×10⁻² m²
square inch	sq in	≡ 1 in × 1 in	≡ 6.4516×10⁻⁴ m²
square kilometre	km²	≡ 1 km × 1 km	= 10⁶ m²
square link (Gunter\'s)(International)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft	= 4.0468564224×10⁻² m²
square link (Gunter\'s)(US Survey)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft (US) × 0.66 ft (US)	≈ 4.046872×10⁻² m²
square link (Ramsden\'s)	sq lnk	≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft	= 0.09290304 m²
square metre (SI unit)	m²	≡ 1 m × 1 m	= 1 m²
square mil; square thou	sq mil	≡ 1 mil × 1 mil	= 6.4516×10⁻¹⁰ m²
square mile	sq mi	≡ 1 mi × 1 mi	≡ 2.589988110336×10⁶ m²
square mile (US Survey)	sq mi	≡ 1 mi (US) × 1 mi (US)	≈ 2.58999847×10⁶ m²
square rod/pole/perch	sq rd	≡ 1 rd × 1 rd	= 25.29285264 m²
square yard (International)	sq yd	≡ 1 yd × 1 yd	≡ 0.83612736 m²
stremma	≡ 1000 m²	= 1000 m²
township	≡ 36 sq mi (US)	≈ 9.323994×10⁷ m²
yardland	≈ 30 ac	≈ 1.2×10⁵ m²

Volume[edit]

Volume
Name of unit	Symbol	Definition	Relation to SI units
acre-foot	ac ft	≡ 1 ac x 1 ft = 43560 cu ft	= 1233.48183754752 m³
acre-inch	≡ 1 ac × 1 in	= 102.79015312896 m³
barrel (imperial)	bl (imp)	≡ 36 gal (imp)	= 0.16365924 m³
barrel (petroleum); archaic blue-barrel	bl; bbl	≡ 42 gal (US)	= 0.158987294928 m³
barrel (US dry)	bl (US)	≡ 105 qt (US) = 105/32 bu (US lvl)	= 0.115628198985075 m³
barrel (US fluid)	fl bl (US)	≡ 31¹⁄₂ gal (US)	= 0.119240471196 m³
board-foot	fbm	≡ 144 cu in	≡ 2.359737216×10⁻³ m³
bucket (imperial)	bkt	≡ 4 gal (imp)	= 0.01818436 m³
bushel (imperial)	bu (imp)	≡ 8 gal (imp)	= 0.03636872 m³
bushel (US dry heaped)	bu (US)	≡ 1¹⁄₄ bu (US lvl)	= 0.0440488377086 m³
bushel (US dry level)	bu (US lvl)	≡ 2150.42 cu in	= 0.03523907016688 m³
butt, pipe	≡ 126 gal (wine)	= 0.476961884784 m³
coomb	≡ 4 bu (imp)	= 0.14547488 m³
cord (firewood)	≡ 8 ft × 4 ft × 4 ft	= 3.624556363776 m³
cord-foot	≡ 16 cu ft	= 0.453069545472 m³
cubic fathom	cu fm	≡ 1 fm × 1 fm × 1 fm	= 6.116438863872 m³
cubic foot	ft³	≡ 1 ft × 1 ft × 1 ft	≡ 0.028316846592 m³
cubic inch	in³	≡ 1 in × 1 in × 1 in	≡ 16.387064×10⁻⁶ m³
cubic metre (SI unit)	m³	≡ 1 m × 1 m × 1 m	≡ 1 m³
cubic mile	cu mi	≡ 1 mi × 1 mi × 1 mi	≡ 4168181825.440579584 m³
cubic yard	yd³	≡ 27 cu ft	≡ 0.764554857984 m³
cup (breakfast)	≡ 10 fl oz (imp)	= 284.130625×10⁻⁶ m³
cup (Canadian)	c (CA)	≡ 8 fl oz (imp)	= 227.3045×10⁻⁶ m³
cup (metric)	c	≡ 250.0×10⁻⁶ m³	= 250.0×10⁻⁶ m³
cup (US customary)	c (US)	≡ 8 US fl oz ≡ ¹⁄₁₆ gal (US)	= 236.5882365×10⁻⁶ m³
cup (US food nutrition labeling)	c (US)	≡ 240 mL^[21]	= 2.4×10⁻⁴ m³
dash (imperial)	≡ ¹⁄₃₈₄ gi (imp) = ¹⁄₂ pinch (imp)	= 369.961751302083×10⁻⁹ m³
dash (US)	≡ ¹⁄₉₆ US fl oz = ¹⁄₂ US pinch	= 308.057599609375×10⁻⁹ m³
dessertspoon (imperial)	≡ ¹⁄₁₂ gi (imp)	= 11.8387760416×10⁻⁶ m³
drop (imperial)	gtt	≡ ¹⁄₂₈₈ fl oz (imp)	= 98.6564670138×10⁻⁹ m³
drop (imperial) (alt)	gtt	≡ ¹⁄₁₈₂₄ gi (imp)	≈ 77.886684×10⁻⁹ m³
drop (medical)	≡ ^0.9964⁄₁₂ ml	= 83.03×10⁻⁹ m³
drop (medical)	≡ ¹⁄₁₂ ml	= 83.3×10⁻⁹ m³
drop (metric)	≡ ¹⁄₂₀ mL	= 50.0×10⁻⁹ m³
drop (US)	gtt	≡ ¹⁄₃₆₀ US fl oz	= 82.14869322916×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₄₅₆ US fl oz	≈ 64.85423149671×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₅₇₆ US fl oz	≈ 51.34293326823×10⁻⁹ m³
fifth	≡ ¹⁄₅ US gal	= 757.0823568×10⁻⁶ m³
firkin	≡ 9 gal (imp)	= 0.04091481 m³
fluid drachm (imperial)	fl dr	≡ ¹⁄₈ fl oz (imp)	= 3.5516328125×10⁻⁶ m³
fluid dram (US); US fluidram	fl dr	≡ ¹⁄₈ US fl oz	= 3.6966911953125×10⁻⁶ m³
fluid scruple (imperial)	fl s	≡ ¹⁄₂₄ fl oz (imp)	= 1.18387760416×10⁻⁶ m³
gallon (beer)	beer gal	≡ 282 cu in	= 4.621152048×10⁻³ m³
gallon (imperial)	gal (imp)	≡ 4.54609 L	≡ 4.54609×10⁻³ m³
gallon (US dry)	gal (US)	≡ ¹⁄₈ bu (US lvl)	= 4.40488377086×10⁻³ m³
gallon (US fluid; Wine)	gal (US)	≡ 231 cu in	≡ 3.785411784×10⁻³ m³
gill (imperial); Noggin	gi (imp); nog	≡ 5 fl oz (imp)	= 142.0653125×10⁻⁶ m³
gill (US)	gi (US)	≡ 4 US fl oz	= 118.29411825×10⁻⁶ m³
hogshead (imperial)	hhd (imp)	≡ 2 bl (imp)	= 0.32731848 m³
hogshead (US)	hhd (US)	≡ 2 fl bl (US)	= 0.238480942392 m³
jigger (bartending)	≡ 1¹⁄₂ US fl oz	≈ 44.36×10⁻⁶ m³
kilderkin	≡ 18 gal (imp)	= 0.08182962 m³
lambda	λ	≡ 1 mm³	= 1×10⁻⁹ m³
last	≡ 80 bu (imp)	= 2.9094976 m³
litre (liter)	L or l	≡ 1 dm³^[22]	≡ 0.001 m³
load	≡ 50 cu ft	= 1.4158423296 m³
minim (imperial)	min	≡ ¹⁄₄₈₀ fl oz (imp) = 1/60 fl dr (imp)	= 59.1938802083×10⁻⁹ m³
minim (US)	min	≡ ¹⁄₄₈₀ US fl oz = ¹⁄₆₀ US fl dr	= 61.611519921875×10⁻⁹ m³
ounce (fluid imperial)	fl oz (imp)	≡ ¹⁄₁₆₀ gal (imp)	≡ 28.4130625×10⁻⁶ m³
ounce (fluid US customary)	US fl oz	≡ ¹⁄₁₂₈ gal (US)	≡ 29.5735295625×10⁻⁶ m³
ounce (fluid US food nutrition labeling)	US fl oz	≡ 30 mL^[21]	≡ 3×10⁻⁵ m³
peck (imperial)	pk	≡ 2 gal (imp)	= 9.09218×10⁻³ m³
peck (US dry)	pk	≡ ¹⁄₄ US lvl bu	= 8.80976754172×10⁻³ m³
perch	per	≡ 16¹⁄₂ ft × 1¹⁄₂ ft × 1 ft	= 0.700841953152 m³
pinch (imperial)	≡ ¹⁄₁₉₂ gi (imp) = 1/16 tsp (imp)	= 739.92350260416×10⁻⁹ m³
pinch (US)	≡ ¹⁄₄₈ US fl oz = 1/16 US tsp	= 616.11519921875×10⁻⁹ m³
pint (imperial)	pt (imp)	≡ ¹⁄₈ gal (imp)	= 568.26125×10⁻⁶ m³
pint (US dry)	pt (US dry)	≡ ¹⁄₆₄ bu (US lvl) ≡ ¹⁄₈ gal (US dry)	= 550.6104713575×10⁻⁶ m³
pint (US fluid)	pt (US fl)	≡ ¹⁄₈ gal (US)	= 473.176473×10⁻⁶ m³
pony	≡ ³⁄₄ US fl oz	= 22.180147171875×10⁻⁶ m³
pottle; quartern	≡ ¹⁄₂ gal (imp) = 80 fl oz (imp)	= 2.273045×10⁻³ m³
quart (imperial)	qt (imp)	≡ ¹⁄₄ gal (imp)	= 1.1365225×10⁻³ m³
quart (US dry)	qt (US)	≡ ¹⁄₃₂ bu (US lvl) = ¹⁄₄ gal (US dry)	= 1.101220942715×10⁻³ m³
quart (US fluid)	qt (US)	≡ ¹⁄₄ gal (US fl)	= 946.352946×10⁻⁶ m³
quarter; pail	≡ 8 bu (imp)	= 0.29094976 m³
register ton	≡ 100 cu ft	= 2.8316846592 m³
sack (US)	≡ 3 bu (US lvl)	= 0.10571721050064 m³
seam	≡ 8 bu (US lvl)^{[citation needed]}	= 0.28191256133504 m³
shot (US)	usually 1.5 US fl oz^[19]	≈ 44×10⁻⁶ m³
strike (imperial)	≡ 2 bu (imp)	= 0.07273744 m³
strike (US)	≡ 2 bu (US lvl)	= 0.07047814033376 m³
tablespoon (Australian metric)	≡ 20.0×10⁻⁶ m³
tablespoon (Canadian)	tbsp	≡ ¹⁄₂ fl oz (imp)	= 14.20653125×10⁻⁶ m³
tablespoon (imperial)	tbsp	≡ ⁵⁄₈ fl oz (imp)	= 17.7581640625×10⁻⁶ m³
tablespoon (metric)	≡ 15.0×10⁻⁶ m³
tablespoon (US customary)	tbsp	≡ ¹⁄₂ US fl oz	= 14.78676478125×10⁻⁶ m³
tablespoon (US food nutrition labeling)	tbsp	≡ 15 mL^[21]	= 1.5×10⁻⁵ m³
teaspoon (Canadian)	tsp	≡ ¹⁄₆ fl oz (imp)	= 4.735510416×10⁻⁶ m³
teaspoon (imperial)	tsp	≡ ¹⁄₂₄ gi (imp)	= 5.91938802083×10⁻⁶ m³
teaspoon (metric)	≡ 5.0×10⁻⁶ m³	= 5.0×10⁻⁶ m³
teaspoon (US customary)	tsp	≡ ¹⁄₆ US fl oz	= 4.92892159375×10⁻⁶ m³
teaspoon (US food nutrition labeling)	tsp	≡ 5 mL^[21]	= 5×10⁻⁶ m³
timber foot	≡ 1 cu ft	= 0.028316846592 m³
ton (displacement)	≡ 35 cu ft	= 0.99108963072 m³
ton (freight)	≡ 40 cu ft	= 1.13267386368 m³
ton (water)	≡ 28 bu (imp)	= 1.01832416 m³
tun	≡ 252 gal (wine)	= 0.953923769568 m³
wey (US)	≡ 40 bu (US lvl)	= 1.4095628066752 m³

Plane angle[edit]

Plane angle
Name of unit	Symbol	Definition	Relation to SI units
angular mil	µ	≡ ^2π⁄₆₄₀₀ rad	≈ 0.981748×10⁻³ rad
arcminute; MOA	\'	≡ ^1°⁄₆₀	≈ 0.290888×10⁻³ rad
arcsecond	\'	≡ ^1°⁄₃₆₀₀	≈ 4.848137×10⁻⁶ rad
centesimal minute of arc	\'	≡ ¹⁄₁₀₀ grad	≈ 0.157080×10⁻³ rad
centesimal second of arc	\'	≡ ¹⁄₁₀₀₀₀ grad	≈ 1.570796×10⁻⁶ rad
degree (of arc)	°	≡ ¹⁄₃₆₀ of a revolution ≡ ^π⁄₁₈₀ rad	≈ 17.453293×10⁻³ rad
grad; gradian; gon	grad	≡ ¹⁄₄₀₀ of a revolution ≡ ^π⁄₂₀₀ rad ≡ 0.9°	≈ 15.707963×10⁻³ rad
octant	≡ 45°	≈ 0.785398 rad
quadrant	≡ 90°	≈ 1.570796 rad
radian (SI unit)	rad	The angle subtended at the center of a circle by an arc whose length is equal to the circle\'s radius. One full revolution encompasses 2π radians.	= 1 rad
sextant	≡ 60°	≈ 1.047198 rad
sign	≡ 30°	≈ 0.523599 rad

Solid angle[edit]

Solid angle
Name of unit	Symbol	Definition	Relation to SI units
spat	≡ 4π sr^[19] – The solid angle subtended by a sphere at its centre.	≈ 12.56637 sr
square degree	deg²; sq.deg.; (°)²	≡ (^π⁄₁₈₀)² sr	≈ 0.30462×10⁻³ sr
steradian (SI unit)	sr	The solid angle subtended at the center of a sphere of radius r by a portion of the surface of the sphere having an area r². A sphere subtends 4π sr.^[19]	= 1 sr

Mass[edit]

Notes:

See Weight for detail of mass/weight distinction and conversion.
Avoirdupois is a system of mass based on a pound of 16 ounces, while Troy weight is the system of mass where 12 troy ounces equals one troy pound.
In this table, the unit gee is used to denote standard gravity in order to avoid confusion with the \'g' symbol for grams.

Mass
Name of unit	Symbol	Definition	Relation to SI units
atomic mass unit, unified	u; AMU	Same as dalton (see below)	≈ 1.660539040(20)×10⁻²⁷ kg^[6]
atomic unit of mass, electron rest mass	m_e	≈ 9.10938291(40)×10⁻³¹ kg^[23]
bag (coffee)	≡ 60 kg	= 60 kg
bag (Portland cement)	≡ 94 lb av	= 42.63768278 kg
barge	≡ 22¹⁄₂ short ton	= 20411.65665 kg
carat	kt	≡ 3¹⁄₆ gr	= 205.1965483 mg
carat (metric)	ct	≡ 200 mg	= 200 mg
clove	≡ 8 lb av	= 3.62873896 kg
crith	≡ mass of 1 L of hydrogen gas at STP	≈ 89.9349 mg
dalton	Da	1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest	≈ 1.660538921(73)×10⁻²⁷ kg^[6]
dram (apothecary; troy)	dr t	≡ 60 gr	= 3.8879346 g
dram (avoirdupois)	dr av	≡ 27¹¹⁄₃₂ gr	= 1.7718451953125 g
electronvolt	eV	≡ 1 eV (energy unit) / c²	= 1.78266184(45)×10⁻³⁶ kg^[6]
gamma	γ	≡ 1 μg	= 1 μg
grain	gr	≡ ¹⁄₇₀₀₀ lb av	≡ 64.79891 mg
grave	gv.	grave was the original name of the kilogram	≡ 1 kg
hundredweight (long)	long cwt or cwt	≡ 112 lb av	= 50.80234544 kg
hundredweight (short); cental	sh cwt	≡ 100 lb av	= 45.359237 kg
kilogram (kilogramme)	kg	≡ mass of the prototype near Paris ≈ mass of 1 litre of water	≡ 1 kg (SI base unit)^[11]
kip	kip	≡ 1000 lb av	= 453.59237 kg
mark	≡ 8 oz t	= 248.8278144 g
mite	≡ ¹⁄₂₀ gr	= 3.2399455 mg
mite (metric)	≡ ¹⁄₂₀ g	= 50 mg
ounce (apothecary; troy)	oz t	≡ ¹⁄₁₂ lb t	= 31.1034768 g
ounce (avoirdupois)	oz av	≡ ¹⁄₁₆ lb	= 28.349523125 g
ounce (US food nutrition labelling)	oz	≡ 28 g^[21]	= 28 g
pennyweight	dwt; pwt	≡ ¹⁄₂₀ oz t	= 1.55517384 g
point	≡ ¹⁄₁₀₀ ct	= 2 mg
pound (avoirdupois)	lb av	≡ 0.45359237 kg = 7000 grains	≡ 0.45359237 kg
pound (metric)	≡ 500 g	= 500 g
pound (troy)	lb t	≡ 5760 grains	= 0.3732417216 kg
quarter (imperial)	≡ ¹⁄₄ long cwt = 2 st = 28 lb av	= 12.70058636 kg
quarter (informal)	≡ ¹⁄₄ short ton	= 226.796185 kg
quarter, long (informal)	≡ ¹⁄₄ long ton	= 254.0117272 kg
quintal (metric)	q	≡ 100 kg	= 100 kg
scruple (apothecary)	s ap	≡ 20 gr	= 1.2959782 g
sheet	≡ ¹⁄₇₀₀ lb av	= 647.9891 mg
slug; geepound; hyl	slug	≡ 1 ɡ₀ × 1 lb av × 1 s²/ft	≈ 14.593903 kg
stone	st	≡ 14 lb av	= 6.35029318 kg
ton, assay (long)	AT	≡ 1 mg × 1 long ton ÷ 1 oz t	= 32.6 g
ton, assay (short)	AT	≡ 1 mg × 1 short ton ÷ 1 oz t	= 29.16 g
ton, long	long tn or ton	≡ 2240 lb	= 1016.0469088 kg
ton, short	sh tn	≡ 2000 lb	= 907.18474 kg
tonne (mts unit)	t	≡ 1000 kg	= 1000 kg
wey	≡ 252 lb = 18 st	= 114.30527724 kg (variants exist)
Zentner	Ztr.	Definitions vary.^[19]^[24]

Density[edit]

Density
Name of unit	Symbol	Definition	Relation to SI units
gram per millilitre	g/mL	≡ g/mL	= 1000 kg/m³
kilogram per cubic metre (SI unit)	kg/m³	≡ kg/m³	= 1 kg/m³
kilogram per litre	kg/L	≡ kg/L	= 1000 kg/m³
ounce (avoirdupois) per cubic foot	oz/ft³	≡ oz/ft³	≈ 1.001153961 kg/m³
ounce (avoirdupois) per cubic inch	oz/in³	≡ oz/in³	≈ 1.729994044×10³ kg/m³
ounce (avoirdupois) per gallon (imperial)	oz/gal	≡ oz/gal	≈ 6.236023291 kg/m³
ounce (avoirdupois) per gallon (US fluid)	oz/gal	≡ oz/gal	≈ 7.489151707 kg/m³
pound (avoirdupois) per cubic foot	lb/ft³	≡ lb/ft³	≈ 16.01846337 kg/m³
pound (avoirdupois) per cubic inch	lb/in³	≡ lb/in³	≈ 2.767990471×10⁴ kg/m³
pound (avoirdupois) per gallon (imperial)	lb/gal	≡ lb/gal	≈ 99.77637266 kg/m³
pound (avoirdupois) per gallon (US fluid)	lb/gal	≡ lb/gal	≈ 119.8264273 kg/m³
slug per cubic foot	slug/ft³	≡ slug/ft³	≈ 515.3788184 kg/m³

Time[edit]

Time
Name of unit	Symbol	Definition	Relation to SI units
Atomic unit of time	au	≡ a₀/(α·c)	≈ 2.418884254×10⁻¹⁷ s
Callippic cycle	≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d	= 2.396736 Gs or 2.3983776 Gs^{[note 1]}
Century	c	≡ 100 years (100 a)	= 3.1556952 Gs^{[note 2]}^{[note 3]}
Day	d	= 24 h = 1440 min	= 86.4 ks^{[note 3]}
Day (sidereal)	d	≡ Time needed for the Earth to rotate once around its axis, determined from successive transits of a very distant astronomical object across an observer\'s meridian (International Celestial Reference Frame)	≈ 86.1641 ks
Decade	dec	≡ 10 years (10 a)	= 315.569520 Ms^{[note 2]}^{[note 3]}
Fortnight	fn	≡ 2 wk	= 1.2096 Ms^{[note 3]}
Helek	≡ ¹⁄₁₀₈₀ h	= 3.3 s
Hipparchic cycle	≡ 4 Callippic cycles - 1 d	= 9.593424 Gs
Hour	h	≡ 60 min	= 3.6 ks^{[note 3]}
Jiffy	j	≡ ¹⁄₆₀ s	= 16.6 ms
Jiffy (alternative)	ja	≡ ¹⁄₁₀₀ s	= 10 ms
Ke (quarter of an hour)	≡ ¹⁄₄ h = ¹⁄₉₆ d = 15 min	= 900 s
Ke (traditional)	≡ ¹⁄₁₀₀ d = 14.4 min	= 864 s
Lustre; Lustrum	≡ 5 a of 365 d^{[note 4]}	= 157.68 Ms
Metonic cycle; enneadecaeteris	≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a	= 599.616 Ms
Millennium	≡ 1000 years (1000 a)	= 31.556952 Gs^{[note 2]}^{[note 3]}
Milliday	md	≡ ¹⁄₁₀₀₀ d	= 86.4 s
Minute	min	≡ 60 s, due to leap seconds sometimes 59 s or 61 s,	= 60 s^{[note 3]}
Moment	≡ 90 s	= 90 s
Month (full)	mo	≡ 30 d^[25]	= 2.592×10⁶ s^{[note 3]}
Month (Greg. av.)	mo	= 30.436875 d	≈ 2.6297 Ms^{[note 3]}
Month (hollow)	mo	≡ 29 d^[25]	= 2.5056 Ms^{[note 3]}
Month (synodic)	mo	Cycle time of moon phases ≈ 29.530589 d (average)	≈ 2.551 Ms
Octaeteris	= 48 mo (full) + 48 mo (hollow) + 3 mo (full)^[26]^[27] = 8 a of 365.25 d = 2922 d	= 252.4608 Ms^{[note 3]}
Planck time	≡ (⁄_c⁵)^¹⁄₂	≈ 5.39116×10⁻⁴⁴ s^[28]
Second	s	Time of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom at 0 K^[11] (but other seconds are sometimes used in astronomy). Also that time it takes for light to travel a distance of 299792458 metres.	(SI base unit)
Shake	≡ 10⁻⁸ s	= 10 ns
Sigma	≡ 10⁻⁶ s	= 1 μs
Sothic cycle	≡ 1461 a of 365 d	= 46.074096 Gs
Svedberg	S	≡ 10⁻¹³ s	= 100 fs
Week	wk	≡ 7 d = 168 h = 10080 min	= 604.8 ks^{[note 3]}
Year (common)	a, y, or yr	365 d	= 31.536 Ms^{[note 3]}^{[note 3]}^[29]
Year (Gregorian)	a, y, or yr	= 365.2425 d average, calculated from common years (365 d) plus leap years (366 d) on most years divisible by 4. See leap year for details.	= 31.556952 Ms^{[note 3]}
Year (Julian)	a, y, or yr	= 365.25 d average, calculated from common years (365 d) plus one leap year (366 d) every four years	= 31.5576 Ms
Year (leap)	a, y, or yr	366 d	= 31.6224 Ms^{[note 3]}^[29]
Year (mean tropical)	a, y, or yr	Conceptually, the length of time it takes for the Sun to return to the same position in the cycle of seasons, ^{[Converter 1]} approximately 365.24219 d, each day being 86400 SI seconds^[30]	≈ 31.556925 Ms
Year (sidereal)	a, y, or yr	≡ Time taken for Sun to return to the same position with respect to the stars of the celestial sphere, approximately 365.256363 d	≈ 31.5581497632 Ms
Notes: ^see Callippic cycle for explanation of the differences ^ ^a^b^cThis is based on the average Gregorian year. See above for definition of year lengths. ^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pWhere UTC is observed, the length of this unit may increase or decrease depending on the number of leap seconds which occur during the time interval in question. ^The length of ancient lustral cycles was not constant; see Lustrum for more details

Frequency[edit]

Frequency
Name of unit	Symbol	Definition	Relation to SI units
hertz (SI unit)	Hz	≡ Number of cycles per second	= 1 Hz = 1/s
revolutions per minute	rpm	≡ One unit rpm equals one rotation completed around a fixed axis in one minute of time.	≈ 0.104719755 rad/s

Speed or velocity[edit]

Speed
Name of unit	Symbol	Definition	Relation to SI units
foot per hour	fph	≡ 1 ft/h	= 8.46×10⁻⁵ m/s
foot per minute	fpm	≡ 1 ft/min	= 5.08×10⁻³ m/s
foot per second	fps	≡ 1 ft/s	= 3.048×10⁻¹ m/s
furlong per fortnight	≡ furlong/fortnight	≈ 1.663095×10⁻⁴ m/s
inch per hour	iph	≡ 1 in/h	= 7.05×10⁻⁶ m/s
inch per minute	ipm	≡ 1 in/min	= 4.23×10⁻⁴ m/s
inch per second	ips	≡ 1 in/s	= 2.54×10⁻² m/s
kilometre per hour	km/h	≡ 1 km/h	= 2.7×10⁻¹ m/s
knot	kn	≡ 1 nmi/h = 1.852 km/h	= 0.514 m/s
knot (Admiralty)	kn	≡ 1 NM (Adm)/h = 1.853184 km/h^{[citation needed]}	= 0.514773 m/s
mach number	M	Ratio of the speed to the speed of sound^{[note 1]} in the medium (unitless).	≈ 340 to 295 m/s
metre per second (SI unit)	m/s	≡ 1 m/s	= 1 m/s
mile per hour	mph	≡ 1 mi/h	= 0.44704 m/s
mile per minute	mpm	≡ 1 mi/min	= 26.8224 m/s
mile per second	mps	≡ 1 mi/s	= 1609.344 m/s
speed of light in vacuum	c	≡ 299792458 m/s	= 299792458 m/s
speed of sound in air	s	1225 to 1062 km/h (761–660 mph or 661–574 kn)^{[note 1]}	≈ 340 to 295 m/s
Note ^ ^a^bThe speed of sound varies especially with temperature and pressure from about 1225 km/h (761 mph or 661 kn) in air at sea level to about 1062 km/h (660 mph or 570 kn) at jet altitudes (12200 m or 40000 ft).^[31]

A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.

Flow (volume)[edit]

Flow
Name of unit	Symbol	Definition	Relation to SI units
cubic foot per minute	CFM^{[citation needed]}	≡ 1 ft³/min	= 4.719474432×10⁻⁴ m³/s
cubic foot per second	ft³/s	≡ 1 ft³/s	= 0.028316846592 m³/s
cubic inch per minute	in³/min	≡ 1 in³/min	= 2.7311773×10⁻⁷ m³/s
cubic inch per second	in³/s	≡ 1 in³/s	= 1.6387064×10⁻⁵ m³/s
cubic metre per second (SI unit)	m³/s	≡ 1 m³/s	= 1 m³/s
gallon (US fluid) per day	GPD^{[citation needed]}	≡ 1 gal/d	= 4.381263638×10⁻⁸ m³/s
gallon (US fluid) per hour	GPH^{[citation needed]}	≡ 1 gal/h	= 1.051503273×10⁻⁶ m³/s
gallon (US fluid) per minute	GPM^{[citation needed]}	≡ 1 gal/min	= 6.30901964×10⁻⁵ m³/s
litre per minute	LPM^{[citation needed]}	≡ 1 L/min	= 1.6×10⁻⁵ m³/s

Acceleration[edit]

Acceleration
Name of unit	Symbol	Definition	Relation to SI units
foot per hour per second	fph/s	≡ 1 ft/(h·s)	= 8.46×10⁻⁵ m/s²
foot per minute per second	fpm/s	≡ 1 ft/(min·s)	= 5.08×10⁻³ m/s²
foot per second squared	fps²	≡ 1 ft/s²	= 3.048×10⁻¹ m/s²
gal; galileo	Gal	≡ 1 cm/s²	= 10⁻² m/s²
inch per minute per second	ipm/s	≡ 1 in/(min·s)	= 4.23×10⁻⁴ m/s²
inch per second squared	ips²	≡ 1 in/s²	= 2.54×10⁻² m/s²
knot per second	kn/s	≡ 1 kn/s	≈ 5.14×10⁻¹ m/s²
metre per second squared (SI unit)	m/s²	≡ 1 m/s²	= 1 m/s²
mile per hour per second	mph/s	≡ 1 mi/(h·s)	= 4.4704×10⁻¹ m/s²
mile per minute per second	mpm/s	≡ 1 mi/(min·s)	= 26.8224 m/s²
mile per second squared	mps²	≡ 1 mi/s²	= 1.609344×10³ m/s²
standard gravity	ɡ₀	≡ 9.80665 m/s²	= 9.80665 m/s²

Force[edit]

Force
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of force	≡ ^{m_e·α²·c²}⁄_a₀	≈ 8.23872206×10⁻⁸ N^[32]
dyne (cgs unit)	dyn	≡ g·cm/s²	= 10⁻⁵ N
kilogram-force; kilopond; grave-force	kgf; kp; Gf	≡ ɡ₀ × 1 kg	= 9.80665 N
kip; kip-force	kip; kipf; klbf	≡ ɡ₀ × 1000 lb	= 4.4482216152605×10³ N
milligrave-force, gravet-force	mGf; gf	≡ ɡ₀ × 1 g	= 9.80665 mN
long ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 long ton	= 9.96401641818352×10³ N
newton (SI unit)	N	A force capable of giving a mass of one kilogram an acceleration of one metre per second per second.^[33]	= 1 N = 1 kg·m/s²
ounce-force	ozf	≡ ɡ₀ × 1 oz	= 0.27801385095378125 N
pound-force	lbf	≡ ɡ₀ × 1 lb	= 4.4482216152605 N
poundal	pdl	≡ 1 lb·ft/s²	= 0.138254954376 N
short ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 short ton	= 8.896443230521×10³ N
sthene (mts unit)	sn	≡ 1 t·m/s²	= 10³ N

See also:Conversion between weight (force) and mass

Pressure or mechanical stress[edit]

Pressure
Name of unit	Symbol	Definition	Relation to SI units
atmosphere (standard)	atm	≡ 101325 Pa^[34]
atmosphere (technical)	at	≡ 1 kgf/cm²	= 9.80665×10⁴ Pa^[34]
bar	bar	≡ 10⁵ Pa
barye (cgs unit)	≡ 1 dyn/cm²	= 0.1 Pa
centimetre of mercury	cmHg	≡ 13595.1 kg/m³ × 1 cm × ɡ₀	≈ 1.33322×10³ Pa^[34]
centimetre of water (4 °C)	cmH₂O	≈ 999.972 kg/m³ × 1 cm × ɡ₀	≈ 98.0638 Pa^[34]
foot of mercury (conventional)	ftHg	≡ 13595.1 kg/m³ × 1 ft × ɡ₀	≈ 4.063666×10⁴ Pa^[34]
foot of water (39.2 °F)	ftH₂O	≈ 999.972 kg/m³ × 1 ft × ɡ₀	≈ 2.98898×10³ Pa^[34]
inch of mercury (conventional)	inHg	≡ 13595.1 kg/m³ × 1 in × ɡ₀	≈ 3.386389×10³ Pa^[34]
inch of water (39.2 °F)	inH₂O	≈ 999.972 kg/m³ × 1 in × ɡ₀	≈ 249.082 Pa^[34]
kilogram-force per square millimetre	kgf/mm²	≡ 1 kgf/mm²	= 9.80665×10⁶ Pa^[34]
kip per square inch	ksi	≡ 1 kipf/sq in	≈ 6.894757×10⁶ Pa^[34]
long ton per square foot	≡ 1 long ton × ɡ₀ / 1 sq ft	≈ 1.0725178011595×10⁵ Pa
micrometre of mercury	μmHg	≡ 13595.1 kg/m³ × 1 μm × ɡ₀ ≈ 0.001 torr	≈ 0.1333224 Pa^[34]
millimetre of mercury	mmHg	≡ 13595.1 kg/m³ × 1 mm × ɡ₀ ≈ 1 torr	≈ 133.3224 Pa^[34]
millimetre of water (3.98 °C)	mmH₂O	≈ 999.972 kg/m³ × 1 mm × ɡ₀ = 0.999972 kgf/m²	= 9.80638 Pa
pascal (SI unit)	Pa	≡ N/m² = kg/(m·s²)	= 1 Pa^[35]
pièze (mts unit)	pz	≡ 1000 kg/m·s²	= 10³ Pa = 1 kPa
pound per square foot	psf	≡ 1 lbf/ft²	≈ 47.88026 Pa^[34]
pound per square inch	psi	≡ 1 lbf/in²	≈ 6.894757×10³ Pa^[34]
poundal per square foot	pdl/sq ft	≡ 1 pdl/sq ft	≈ 1.488164 Pa^[34]
short ton per square foot	≡ 1 short ton × ɡ₀ / 1 sq ft	≈ 9.5760518×10⁴ Pa
torr	torr	≡ ¹⁰¹³²⁵⁄₇₆₀ Pa	≈ 133.3224 Pa^[34]

Torque or moment of force[edit]

Torque
Name of unit	Symbol	Definition	Relation to SI units
pound-force-foot	lbf•ft	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 N⋅m
poundal-ft	pdl•ft	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² N⋅m
pound force-inch	lbf•in	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 N⋅m
kilogram force-meter	kgf•m	≡ ɡ₀ × N × m	= 9.80665 N⋅m
Newton metre (SI unit)	N·m	≡ N × m = kg·m²/s²	= 1 N⋅m

Energy[edit]

Energy
Name of unit	Symbol	Definition	Relation to SI units
barrel of oil equivalent	boe	≈ 5.8×10⁶ BTU_{59 °F}	≈ 6.12×10⁹ J
British thermal unit (ISO)	BTU_ISO	≡ 1.0545×10³ J	= 1.0545×10³ J
British thermal unit (International Table)	BTU_IT	= 1.05505585262×10³ J
British thermal unit (mean)	BTU_mean	≈ 1.05587×10³ J
British thermal unit (thermochemical)	BTU_th	≈ 1.054350×10³ J
British thermal unit (39 °F)	BTU_{39 °F}	≈ 1.05967×10³ J
British thermal unit (59 °F)	BTU_{59 °F}	≡ 1.054804×10³ J	= 1.054804×10³ J
British thermal unit (60 °F)	BTU_{60 °F}	≈ 1.05468×10³ J
British thermal unit (63 °F)	BTU_{63 °F}	≈ 1.0546×10³ J
calorie (International Table)	cal_IT	≡ 4.1868 J	= 4.1868 J
calorie (mean)	cal_mean	¹⁄₁₀₀ of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm	≈ 4.19002 J
calorie (thermochemical)	cal_th	≡ 4.184 J	= 4.184 J
Calorie (US; FDA)	Cal	≡ 1 kcal = 1000 cal	= 4184 J
calorie (3.98 °C)	cal_{3.98 °C}	≈ 4.2045 J
calorie (15 °C)	cal_{15 °C}	≡ 4.1855 J	= 4.1855 J
calorie (20 °C)	cal_{20 °C}	≈ 4.1819 J
Celsius heat unit (International Table)	CHU_IT	≡ 1 BTU_IT × 1 K/°R	= 1.899100534716×10³ J
cubic centimetre of atmosphere; standard cubic centimetre	cc atm; scc	≡ 1 atm × 1 cm³	= 0.101325 J
cubic foot of atmosphere; standard cubic foot	cu ft atm; scf	≡ 1 atm × 1 ft³	= 2.8692044809344×10³ J
cubic foot of natural gas	≡ 1000 BTU_IT	= 1.05505585262×10⁶ J
cubic yard of atmosphere; standard cubic yard	cu yd atm; scy	≡ 1 atm × 1 yd³	= 77.4685209852288×10³ J
electronvolt	eV	≡ e × 1 V	≈ 1.602176565(35)×10⁻¹⁹ J
erg (cgs unit)	erg	≡ 1 g·cm²/s²	= 10⁻⁷ J
foot-pound force	ft lbf	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 J
foot-poundal	ft pdl	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² J
gallon-atmosphere (imperial)	imp gal atm	≡ 1 atm × 1 gal (imp)	= 460.63256925 J
gallon-atmosphere (US)	US gal atm	≡ 1 atm × 1 gal (US)	= 383.5568490138 J
hartree, atomic unit of energy	E_h	≡ m_e·α²·c² (= 2 Ry)	≈ 4.359744×10⁻¹⁸ J
horsepower-hour	hp·h	≡ 1 hp × 1 h	= 2.684519537696172792×10⁶ J
inch-pound force	in lbf	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 J
joule (SI unit)	J	The work done when a force of one newton moves the point of its application a distance of one metre in the direction of the force.^[33]	= 1 J = 1 m·N = 1 kg·m²/s² = 1 C·V = 1 W·s
kilocalorie; large calorie	kcal; Cal	≡ 1000 cal_IT	= 4.1868×10³ J
kilowatt-hour; Board of Trade Unit	kW·h; B.O.T.U.	≡ 1 kW × 1 h	= 3.6×10⁶ J
litre-atmosphere	l atm; sl	≡ 1 atm × 1 L	= 101.325 J
quad	≡ 10¹⁵ BTU_IT	= 1.05505585262×10¹⁸ J
rydberg	Ry	≡ R_∞·ℎ·c	≈ 2.179872×10⁻¹⁸ J
therm (E.C.)	≡ 100000 BTU_IT	= 105.505585262×10⁶ J
therm (US)	≡ 100000 BTU_{59 °F}	= 105.4804×10⁶ J
thermie	th	≡ 1 Mcal_IT	= 4.1868×10⁶ J
ton of coal equivalent	TCE	≡ 7 Gcal_th	= 29.288×10⁹ J
tonne of oil equivalent	toe	≡ 10 Gcal_IT	= 41.868×10⁹ J
ton of TNT	tTNT	≡ 1 Gcal_th	= 4.184×10⁹ J

Power or heat flow rate[edit]

Power
Name of unit	Symbol	Definition	Relation to SI units
atmosphere-cubic centimetre per minute	atm ccm^{[citation needed]}	≡ 1 atm × 1 cm³/min	= 1.68875×10⁻³ W
atmosphere-cubic centimetre per second	atm ccs^{[citation needed]}	≡ 1 atm × 1 cm³/s	= 0.101325 W
atmosphere-cubic foot per hour	atm cfh^{[citation needed]}	≡ 1 atm × 1 cu ft/h	= 0.79700124704 W
atmosphere-cubic foot per minute	atm cfm^{[citation needed]}	≡ 1 atm × 1 cu ft/min	= 47.82007468224 W
atmosphere-cubic foot per second	atm cfs^{[citation needed]}	≡ 1 atm × 1 cu ft/s	= 2.8692044809344×10³ W
BTU (International Table) per hour	BTU_IT/h	≡ 1 BTU_IT/h	≈ 0.293071 W
BTU (International Table) per minute	BTU_IT/min	≡ 1 BTU_IT/min	≈ 17.584264 W
BTU (International Table) per second	BTU_IT/s	≡ 1 BTU_IT/s	= 1.05505585262×10³ W
calorie (International Table) per second	cal_IT/s	≡ 1 cal_IT/s	= 4.1868 W
erg per second	erg/s	≡ 1 erg/s	= 10⁻⁷ W
foot-pound-force per hour	ft·lbf/h	≡ 1 ft lbf/h	≈ 3.766161×10⁻⁴ W
foot-pound-force per minute	ft·lbf/min	≡ 1 ft lbf/min	= 2.259696580552334×10⁻² W
foot-pound-force per second	ft·lbf/s	≡ 1 ft lbf/s	= 1.3558179483314004 W
horsepower (boiler)	hp	≈ 34.5 lb/h × 970.3 BTU_IT/lb	≈ 9809.5 W^[36]
horsepower (European electrical)	hp	≡ 75 kp·m/s	= 736 W^{[citation needed]}
horsepower (electrical)	hp	≡ 746 W	= 746 W^[36]
horsepower (mechanical)	hp	≡ 550 ft·lbf/s^[36]	= 745.69987158227022 W
horsepower (metric)	hp or PS	≡ 75 m·kgf/s	= 735.49875 W^[36]
litre-atmosphere per minute	L·atm/min	≡ 1 atm × 1 L/min	= 1.68875 W
litre-atmosphere per second	L·atm/s	≡ 1 atm × 1 L/s	= 101.325 W
lusec	lusec	≡ 1 L·µmHg/s ^[19]	≈ 1.333×10⁻⁴ W
poncelet	p	≡ 100 m·kgf/s	= 980.665 W
square foot equivalent direct radiation	sq ft EDR	≡ 240 BTU_IT/h	≈ 70.337057 W
ton of air conditioning	≡ 2000 lb of ice melted / 24 h	≈ 3504 W
ton of refrigeration (imperial)	≡ 2240 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.938875×10³ W
ton of refrigeration (IT)	≡ 2000 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.516853×10³ W
watt (SI unit)	W	The power which in one second of time gives rise to one joule of energy.^[33]	= 1 W = 1 J/s = 1 N·m/s = 1 kg·m²/s³

Action[edit]

Action
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of action	au	≡ ℏ ≡ ^ℎ⁄_2π	≈ 1.05457168×10⁻³⁴ J·s^[37]

Dynamic viscosity[edit]

Dynamic viscosity
Name of unit	Symbol	Definition	Relation to SI units
pascal second (SI unit)	Pa·s	≡ N·s/m², kg/(m·s)	= 1 Pa·s
poise (cgs unit)	P	≡ 1 barye·s	= 0.1 Pa·s
pound per foot hour	lb/(ft·h)	≡ 1 lb/(ft·h)	≈ 4.133789×10⁻⁴ Pa·s
pound per foot second	lb/(ft·s)	≡ 1 lb/(ft·s)	≈ 1.488164 Pa·s
pound-force second per square foot	lbf·s/ft²	≡ 1 lbf·s/ft²	≈ 47.88026 Pa·s
pound-force second per square inch	lbf·s/in²	≡ 1 lbf·s/in²	≈ 6894.757 Pa·s

Kinematic viscosity[edit]

Kinematic viscosity
Name of unit	Symbol	Definition	Relation to SI units
square foot per second	ft²/s	≡ 1 ft²/s	= 0.09290304 m²/s
square metre per second (SI unit)	m²/s	≡ 1 m²/s	= 1 m²/s
stokes (cgs unit)	St	≡ 1 cm²/s	= 10⁻⁴ m²/s

Electric current[edit]

Electric current
Name of unit	Symbol	Definition	Relation to SI units
ampere (SI base unit)	A	≡ The constant current needed to produce a force of 2 ×10⁻⁷ newton per metre between two straight parallel conductors of infinite length and negligible circular cross-section placed one metre apart in a vacuum.^[11]	= 1 A = 1 C/s
electromagnetic unit; abampere (cgs unit)	abamp	≡ 10 A	= 10 A
esu per second; statampere (cgs unit)	esu/s	≡ ^{0.1 A·m/s}⁄_c	≈ 3.335641×10⁻¹⁰ A

Electric charge[edit]

Electric charge
Name of unit	Symbol	Definition	Relation to SI units
abcoulomb; electromagnetic unit (cgs unit)	abC; emu	≡ 10 C	= 10 C
atomic unit of charge	au	≡ e	≈ 1.602176462×10⁻¹⁹ C
coulomb	C	≡ The amount of electricity carried in one second of time by one ampere of current.^[33]	= 1 C = 1 A·s
faraday	F	≡ 1 mol × N_A·e	≈ 96485.3383 C
milliampere hour	mA·h	≡ 0.001 A × 1 h	= 3.6 C
statcoulomb; franklin; electrostatic unit (cgs unit)	statC; Fr; esu	≡ ^{0.1 A·m}⁄_c	≈ 3.335641×10⁻¹⁰ C

Electric dipole[edit]

Electric dipole
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of electric dipole moment	ea₀	≈ 8.47835281×10⁻³⁰ C·m^[38]
coulomb meter	C·m	= 1 C · 1 m
debye	D	= 10⁻¹⁰ esu·Å	= 3.33564095×10⁻³⁰ C·m^[39]

Electromotive force, electric potential difference[edit]

Voltage, electromotive force
Name of unit	Symbol	Definition	Relation to SI units
abvolt (cgs unit)	abV	≡ 10⁻⁸ V	= 10⁻⁸ V
statvolt (cgs unit)	statV	≡ c·(1 μJ/A·m)	= 299.792458 V
volt (SI unit)	V	The difference in electric potential across two points along a conducting wire carrying one ampere of constant current when the power dissipated between the points equals one watt.^[33]	= 1 V = 1 W/A = 1 kg·m²/(A·s³)

Electrical resistance[edit]

Electrical resistance
Name of unit	Symbol	Definition	Relation to SI units
ohm (SI unit)	Ω	The resistance between two points in a conductor when one volt of electric potential difference, applied to these points, produces one ampere of current in the conductor.^[33]	= 1 Ω = 1 V/A = 1 kg·m²/(A²·s³)

Capacitance[edit]

Capacitor\'s ability to store charge
Name of unit	Symbol	Definition	Relation to SI units
farad (SI unit)	F	The capacitance between two parallel plates that results in one volt of potential difference when charged by one coulomb of electricity.^[33]	= 1 F = 1 C/V = 1 A²·s⁴/(kg·m²)

Magnetic flux[edit]

magnetic flux
Name of unit	Symbol	Definition	Relation to SI units
maxwell (CGS unit)	Mx	≡ 10⁻⁸ Wb^[36]	= 10⁻⁸ Wb
weber (SI unit)	Wb	Magnetic flux which, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second.^[33]	= 1 Wb = 1 V·s = 1 kg·m²/(A·s²)

Magnetic flux density[edit]

What physicists call Magnetic field is called Magnetic flux density by electrical engineers and magnetic induction by applied mathematicians and electrical engineers.
Name of unit	Symbol	Definition	Relation to SI units
gauss (CGS unit)	G	≡ Mx/cm² = 10⁻⁴ T	= 10⁻⁴ T ^[40]
tesla (SI unit)	T	≡ Wb/m²	= 1 T = 1 Wb/m²= 1 kg/(A·s²)

Inductance[edit]

Inductance
Name of unit	Symbol	Definition	Relation to SI units
henry (SI unit)	H	The inductance of a closed circuit that produces one volt of electromotive force when the current in the circuit varies at a uniform rate of one ampere per second.^[33]	= 1 H = 1 Wb/A = 1 kg·m²/(A·s)²

Temperature[edit]

Temperature
Name of unit	Symbol	Definition	Relation to SI units
degree Celsius	°C	[°C] ≡ [K] − 273.15	[K] ≡ [°C] + 273.15
degree Delisle	°De	[K] = 373.15 − [°De] × ²⁄₃
degree Fahrenheit	°F	[°F] ≡ [°C] × ⁹⁄₅ + 32	[K] ≡ ([°F] + 459.67) × ⁵⁄₉
degree Newton	°N	[K] = [°N] × ¹⁰⁰⁄₃₃ + 273.15
degree Rankine	°R;	[°R] ≡ [K] × ⁹⁄₅	[K] ≡ [°R] × 5/9
degree Réaumur	°Ré	[K] = [°Ré] × ⁵⁄₄ + 273.15
degree Rømer	°Rø	[K] = ([°Rø] − 7.5) × ⁴⁰⁄₂₁ + 273.15
Regulo Gas Mark	GM;	[°F] ≡ [GM] × 25 + 300	[K] ≡ [GM] × ¹²⁵⁄₉ + 422.038
kelvin (SI base unit)	K	≡ ¹⁄_273.16 of the thermodynamic temperature of the triple point of water.^[11]	≡ 1 K

Information entropy[edit]

Information entropy
Name of unit	Symbol	Definition	Relation to SI units	Relation to bits
natural unit of information; nip; nepit	nat
shannon; bit	Sh; bit; b	≡ ln(2) × nat	≈ 0.693147nat	= 1 bit
hartley; ban	Hart; ban	≡ ln(10) × nat	≈ 2.302585nat
nibble	≡ 4 bits	= 2² bit
byte	B	≡ 8 bits	= 2³ bit
kilobyte (decimal)	kB	≡ 1000 B	= 8000 bit
kilobyte (kibibyte)	KB; KiB	≡ 1024 B	= 2¹³ bit = 8192 bit

Luminous intensity[edit]

The candela is the preferred nomenclature for the SI unit.

Luminous intensity
Name of unit	Symbol	Definition	Relation to SI units
candela (SI base unit); candle	cd	The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×10¹² hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.^[11]	= 1 cd
candlepower (new)	cp	≡ cd The use of candlepower as a unit is discouraged due to its ambiguity.	= 1 cd
candlepower (old, pre-1948)	cp	Varies and is poorly reproducible.^[41] Approximately 0.981 cd.^[19]	≈ 0.981 cd

Luminance[edit]

Luminance
Name of unit	Symbol	Definition	Relation to SI units
candela per square foot	cd/ft²	≡ cd/ft²	≈ 10.763910417 cd/m²
candela per square inch	cd/in²	≡ cd/in²	≈ 1550.0031 cd/m²
candela per square metre (SI unit); nit (deprecated^[19])	cd/m²	≡ cd/m²	= 1 cd/m²
footlambert	fL	≡ (1/π) cd/ft²	≈ 3.4262590996 cd/m²
lambert	L	≡ (10⁴/π) cd/m²	≈ 3183.0988618 cd/m²
stilb (CGS unit)	sb	≡ 10⁴ cd/m²	= 10⁴ cd/m²

Luminous flux[edit]

Luminous flux
Name of unit	Symbol	Definition	Relation to SI units
lumen (SI unit)	lm	≡ cd·sr	= 1 lm = 1 cd·sr

Illuminance[edit]

Illuminance
Name of unit	Symbol	Definition	Relation to SI units
footcandle; lumen per square foot	fc	≡ lm/ft²	= 10.763910417 lx
lumen per square inch	lm/in²	≡ lm/in²	≈ 1550.0031 lx
lux (SI unit)	lx	≡ lm/m²	= 1 lx = 1 lm/m²
phot (CGS unit)	ph	≡ lm/cm²	= 10⁴ lx

Radiation – source activity[edit]

Radioactivity
Name of unit	Symbol	Definition	Relation to SI units
becquerel (SI unit)	Bq	≡ Number of disintegrations per second	= 1 Bq = 1/s
curie	Ci	≡ 3.7×10¹⁰ Bq^[42]	= 3.7×10¹⁰ Bq
rutherford (H)	rd	≡ 1 MBq	= 10⁶ Bq

Radiation – exposure[edit]

Radiation - exposure
Name of unit	Symbol	Definition	Relation to SI units
roentgen	R	1 R ≡ 2.58×10⁻⁴ C/kg^[36]	= 2.58×10⁻⁴ C/kg

The roentgen is not an SI unit and the NIST strongly discourages its continued use.^[44]

Radiation – absorbed dose[edit]

Radiation - absorbed dose
Name of unit	Symbol	Definition	Relation to SI units
gray (SI unit)	Gy	≡ 1 J/kg = 1 m²/s²^[45]	= 1 Gy
rad	rad	≡ 0.01 Gy^[36]	= 0.01 Gy

Radiation – equivalent dose[edit]

Radiation - equivalent dose
Name of unit	Symbol	Definition	Relation to SI units
Röntgen equivalent man	rem	≡ 0.01 Sv	= 0.01 Sv
sievert (SI unit)	Sv	≡ 1 J/kg^[43]	= 1 Sv

H = Q · D

Notes and references[edit]

^Béla Bodó; Colin Jones (26 June 2013). Introduction to Soil Mechanics. John Wiley & Sons. pp. 9–. ISBN978-1-118-55388-6.
^\'Identity property of multiplication\'. Retrieved 2015-09-09.
^David V. Chadderton (2004). Building Services Engineering. Taylor & Francis. pp. 33–. ISBN978-0-415-31535-7.
^jobs (September 14, 2012). \'The astronomical unit gets fixed : Nature News & Comment\'. Nature.com. doi:10.1038/nature.2012.11416. Retrieved August 31, 2013.
^\'NIST Reference on Constants, Units, and Uncertainty.\'(2010). National Institute of Standards and Technology. Retrieved October 17, 2014.
^ ^a^b^c^d^e\'NIST - National Institute of Standards and Technology\'. NIST.
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿLide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
^ ^a^bNational Bureau of Standards. (June 30, 1959). Refinement of values for the yard and the pound. Federal Register, viewed September 20, 2006 at National Geodetic Survey web site.
^\'International Astronomical Union - IAU\'. www.iau.org.
^Klein, Herbert Arthur.(1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
^ ^a^b^c^d^e^fThe International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on October 1, 2009, retrieved August 26, 2009
^International System of Units,Archived August 21, 2008, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
^Cox, Arthur N., ed. (2000). Allen\'s Astrophysical Quantities (4th ed.). New York: AIP Press / Springer. Bibcode:2000asqu.book...C. ISBN0387987460.
^Binney, James; Tremaine, Scott (2008). Galactic Dynamics (2nd ed.). Princeton, NJ: Princeton University Press. Bibcode:2008gady.book...B. ISBN978-0-691-13026-2.
^P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
^ ^a^b^cWhitelaw, Ian. (2007). A Measure of All Things: The Story of Man and Measurement. New York: Macmillan 0-312-37026-1. p. 152.
^ ^a^bDe Vinne, Theodore Low (1900). The practice of typography: a treatise on the processes of type-making, the point system, the names, sizes, styles and prices of plain printing types 2nd ed. New York: The Century Co. p. 142–150.
^Pasko, Wesley Washington (1894). American dictionary of printing and bookmaking. (1894). New York: Howard Lockwood. p. 521.
^ ^a^b^c^d^e^f^g^hRowlett, Russ (2005), How Many? A Dictionary of Units of Measurement
^Thompson, A. and Taylor, B.N. (2008). Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology Special Publication 811. p. 57.
^ ^a^b^c^d^eUS Code of Federal Regulations, Title 21, Section 101.9, Paragraph (b)(5)(viii), archived from the original on August 13, 2009, retrieved August 29, 2009
^Barry N. Taylor, Ed.,NIST Special Publication 330: The International System of Units (SI) (2001 Edition), Washington: US Government Printing Office, 43,\'The 12th Conference Generale des Poids et Mesures (CGPM)..declares that the word \'litre\' may be employed as a special name for the cubic decimetre\'.
^CODATA Value: atomic unit of mass. (2010). National Institute of Standards and Technology. Retrieved 29 May 2015.
^The Swiss Federal Office for Metrology gives Zentner on a German language web page \'Archived copy\'. Archived from the original on 2006-09-28. Retrieved 2006-10-09.CS1 maint: archived copy as title (link) and quintal on the English translation of that page \'Archived copy\'. Archived from the original on 2001-03-09. Retrieved 2006-10-09.CS1 maint: archived copy as title (link); the unit is marked \'spécifiquement suisse !\'
^ ^a^bPedersen O. (1983). \'Glossary\' in Coyne, G., Hoskin, M., and Pedersen, O. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican Observatory. Available from Astrophysics Data System.
^Richards, E.G. (1998), Mapping Time, Oxford University Press, pp. 94–95, ISBN0-19-850413-6
^Steel, Duncan (2000), Marking Time, John Wiley & Sons, p. 46, ISBN0-471-29827-1
^\'CODATA Value: Planck time\'. physics.nist.gov. Retrieved 2018-06-20.
^ ^a^bRichards, E. G. (2013). \'Calendars\' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books.
^Richards, E. G. (2013). \'Calendars\' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books. p. 587.
^Tom Benson. (2010.) \'Mach Number\' in Beginner\'s Guide to Aeronautics. NASA.
^CODATA Value: atomic unit of force. (2006). National Institute of Standards and Technology. Retrieved September 14, 2008.
^ ^a^b^c^d^e^f^g^hⁱComité International des Poids et Mesures, Resolution 2, 1946, retrieved August 26, 2009
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pBarry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, pp. 57–68.
^Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, p. 5.
^ ^a^b^c^d^e^f^gNIST Guide to SI Units, Appendix B.9, retrieved August 27, 2009
^International System of Units,Archived July 16, 2012, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 7.
^The NIST Reference on Constants, Units, and Uncertainty, 2006, retrieved August 26, 2009
^Robert G. Mortimer Physical chemistry,Academic Press, 2000 ISBN0-12-508345-9, page 677
^Standard for the Use of the International System of Units (SI): The Modern Metric System IEEE/ASTM SI 10-1997. (1997). New York and West Conshohocken, PA: Institute of Electrical and Electronics Engineers and American Society for Testing and Materials. Tables A.1 through A.5.
^The NIST Reference on Constants, Units, and Uncertainty, retrieved August 28, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 10.
^ ^a^bThe International System of Units, Section 2.2.2., Table 3 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on June 18, 2007, retrieved August 27, 2009
^The NIST Guide to the SI (Special Publication 811), section 5.2, 2008, retrieved August 27, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 5.
^Comité international des poids et mesures, 2002, Recommendation 2, retrieved August 27, 2009

Notes

^The technical definition of tropical year is the period of time for the ecliptic longitude of the Sun to increase 360 degrees. (Urban & Seidelmann 2013, Glossary, s.v. year, tropical)

External links[edit]

Wikibooks has a book on the topic of: FHSST Physics Units:How to Change Units

Wikivoyage has a travel guide for Metric and Imperial equivalents.

Statutory Instrument 1995 No. 1804Units of measurement regulations 1995 From legislation.gov.uk
\'NIST: Fundamental physical constants — Non-SI units\'(PDF). Archived from the original(PDF) on 2016-12-27. Retrieved 2004-03-15.(35.7 KB)
NIST Guide to SI Units Many conversion factors listed.
Units of Measurement Software at Curlie
Units of Measurement Online Conversion at Curlie

Retrieved from \'https://en.wikipedia.org/w/index.php?title=Conversion_of_units&oldid=916110171\'

...'>How To Factor(10.01.2020)

List the factors of each component of the expression. Here we are interested in finding the natural number factors.The expression x ^2 + 6x + 8 would have factors that look like this:x^ 2: 16x: 1, 2, 3, 68: 1, 2, 4, 8If you look at the three lists, there is only one thing that they all share in common, the number one. This means there is no coefficient greater than one to factor out.Then you look at the exponents\' powers. Nicolet high school attendance line. If you see a zero, the expression cannot be factored by a variable.This expression is ready for the next step.Here is an example that does have a GCF that needs to be factored out: 2x ^3 + 18x ^2 + 10x.

Find the smallest number that isn\'t 0, in this case the number one. That means x ^1, or simply x, can be divided into the expression.Multiply the number and variable together to get 2x.

(You can say that a negative 4x is being added to 2x 2.)First, factor out the GCF, 2x. You\'re left with 2x (x - 2). This is as far as this binomial can go.

Any binomial in the form 1x +/- n cannot be factored further.When you have a binomial that is a variable with an even exponent, added to a negative number that has a square root that is a natural number, it\'s called a perfect square.x^ 2 - 4 is an example of this. It can be expressed as the product of the square root of the variable plus the square root of the positive constant, and the square root of the variable minus the square root of the positive constant.Huh?Basically, take the square root of the variable. You\'ll end up with x. Then square root the 4. You\'ll end up with 2.

If you add them together, you\'ll get x+2. Subtract them, and you\'ll get x-2. Multiply the two, and you\'ll get (x+4)(x-4).

Note that the first two signs in the expression are switched.(x ^3 - 8) = (x + 2) (x ^2 - 2x + 4).Both examples can be factored further once you learn how to factor trinomials in step 4. Trinomials: An expression with three terms added together. 2x^ 2 + 6x - 8 will serve as our lucky demonstrator.First, factor out the GCF. This will ALWAYS be your first step when factoring ANY expression.2 (x^ 2 + 3x - 4)If you end up with a power of x greater than two after factoring out the GCF, move on to another step.List the integer factors of the constant. You\'ll want two pair them up like so:-4, 1-2, 2-1, 4You want to find one of these that when added up equals the coefficient of the second term, 3. From here, write out two sets of parentheses with x\'s inside:(x ) (x )Then stick the two terms that worked into the parentheses.(x - 1) (x + 4)Don\'t forget to add the GCF back.2 (x - 1) (x + 4)That\'s how you factor a trinomial.Here\'s another one: 2x ^2 + 11x - 6.There\'s a twist this time: The coefficient of x ^2 is not 1.

The factors of 1x^ 2 + 3x + 2 would be (x - ((-3 + sqrt 17)/2)) (x - ((-3 - sqrt 17)/2)). (You stick the answer to the right of an \'x - \'. More on why that works, in step 8.).

How does this help you factor? If you get 2 as a solution, you can work backwards and say that one of the factors of the equation was (x - 2).So, back to the example:Factors of 2: +/- 1, +/- 2 (you need to include negatives)Factors of 3: +/- 1, +/- 3P/Q: +/- 1, +/- 1/3, +/- 2, +/- 2/3Once you have your list, you\'ll use something called synthetic division to see which of those P/Q\'s are actually solutions.Synthetic division is a way of dividing polynomials by a binomial of the form x-k. I\'m not going to explain how it works, but just show how to use it for factoring.First, put one of your P/Q\'s in a little box or set of parentheses, then list the coefficients and constant in a row next to it. If the polynomial skips a power (x ^2 + 2) then you need to add a 0 for where x 1 should have been.(Expression: 3x^ 3 + 8x ^2 - 9x + 2)(Ignore the asterisks, they\'re used as placeholders. You now know how to factor any number or expression you\'ll probably ever come across. Good for you!There are also programs out there that can do this for you. If you google \'polyroot\' you\'ll get links to a few programs for your computer.

The HP 39/40gs graphing calculators have the polyroot function built in. If you have a TI-89 graphing calculator, it also has a factoring function. Earlier model TI graphing calculators don\'t have it built in, but they do have factoring programs. Google \'ti quadratic solver\' for programs you can transfer to your TI graphing calculator.You can also find real solutions to quadratic equations by graphing them and using the \'zero\' function to calculate where the graph intersects the x-axis. You can then stick that number next to a \'x -\'.Disclaimer: Most math classes either disallow calculators that can factor, or make you clear the memory (along with programs) of programmable calculators. Also, if any solutions have a non-natural root in them, you\'ll get a long string of decimals which is unsuitable as an answer.

Just learn how to do it by hand. X^2 - 4 is not a perfect square, it\'s a difference of squares. No pun intended, but there\'s a difference.

It will always result in a trinomial. Even the simplest monomial squared will result in a trinomial. Consider the monomial (x + 1). We see that: (x + 1)^2 = (x + 1)(x + 1) = x^2 + 2x + 1 Or the negative: (x - 1)^2 = (x - 1)(x - 1) = x^2 - 2x + 1. I don\'t understand how to simplify radical expressions. The whole Factor, Seperate, Simplify thing confuses me.

Sorry i don\'t know how to make it look like the actual problem! How would I factor and solve that? Because obviously i am too dumb to figure it out on my own. Online school is hard for me.

(Redirected from Conversion factor)

Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

1Techniques
2Tables of conversion factors

Techniques[edit]

Process overview[edit]

The precision and accuracy of measurement and the associated uncertainty of measurement.
The statistical confidence interval or tolerance interval of the initial measurement.
The number of significant figures of the measurement.
The intended use of the measurement including the engineering tolerances.
Historical definitions of the units and their derivatives used in old measurements; e.g., international foot vs. US survey foot.

Conversion factors[edit]

$\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$ $\'{displaystyle$

Thus, it is found that 5 kilometers per second is equal to 5000 meters per second.

Software tools[edit]

Tables of conversion factors[edit]

Legend
Symbol	Definition
≡	exactly equal
≈	approximately equal to
`digits`	indicates that `digits` repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369..)
(H)	of chiefly historical interest

Length[edit]

Length
Name of unit	Symbol	Definition	Relation to SI units
ångström	Å	≡ 1×10⁻¹⁰ m	≡ 0.1 nm
astronomical unit	AU	≡ 149597870700 m ≈ Distance from Earth to Sun	≡ 149597870700 m^[4]
attometre	am	≡ 1×10⁻¹⁸ m	≡ 1×10⁻¹⁸ m
barleycorn (H)	= ¹⁄₃in (see note above about rounding)	≈ 8.46×10⁻³ m
bohr, atomic unit of length	a₀	= Bohr radius of hydrogen	≈ 5.2917721092(17)×10⁻¹¹ m^[5]
cable length (imperial)	≡ 608 ft	≈ 185.3184 m
cable length (International)	≡ ¹⁄₁₀nmi	≡ 185.2 m
cable length (US)	≡ 720 ft	= 219.456 m
chain (Gunter\'s; Surveyor\'s)	ch	≡ 66 ft (US) ≡ 4 rods^[6]	≈ 20.11684 m
cubit (H)	≡ Distance from fingers to elbow ≈ 18 in	≈ 0.5 m
ell (H)	ell	≡ 45 in ^[7] (In England usually)	= 1.143 m
fathom	ftm	≡ 6 ft ^[7]	= 1.8288 m
femtometre	fm	≡ 1×10⁻¹⁵ m	≡ 1×10⁻¹⁵ m
fermi	fm	≡ 1×10⁻¹⁵ m^[7]	≡ 1×10⁻¹⁵ m
finger	≡ ⁷⁄₈ in	= 0.022225 m
finger (cloth)	≡ 4¹⁄₂ in	= 0.1143 m
foot (Benoît) (H)	ft (Ben)	≈ 0.304799735 m
foot (Cape) (H)	Legally defined as 1.033 English feet in 1859	≈ 0.314858 m
foot (Clarke\'s) (H)	ft (Cla)	≈ 0.3047972654 m
foot (Indian) (H)	ft Ind	≈ 0.304799514 m
foot, metric	mf	≡ √¹⁄₁₀ m^{[citation needed]}	≈ 0.31622776602 m
foot, metric (long)	lmf	≡ ¹⁄₃ m	≡ 0.3 m
foot, metric (short)	smf	≡ 0.30 m	≡ 0.30 m
foot (International)	ft	≡ 0.3048 m ≡ ¹⁄₃ yd ≡ 12 inches	≡ 0.3048 m
foot (Sear\'s) (H)	ft (Sear)	≈ 0.30479947 m
foot (US Survey)	ft (US)	≡ ¹²⁰⁰⁄₃₉₃₇ m ^[8]	≈ 0.304800610 m
french; charriere	F	≡ ¹⁄₃ mm	= 0.3×10⁻³ m
furlong	fur	≡ 10 chains = 660 ft = 220 yd ^[7]	= 201.168 m
hand	≡ 4 in ^[7]	≡ 0.1016 m
inch (International)	in	≡ 2.54 cm ≡ ¹⁄₃₆ yd ≡ ¹⁄₁₂ ft	≡ 0.0254 m
league (land)	lea	≈ 1 hour walk, Currently defined in US as 3 Statute miles,^[6] but historically varied from 2 to 9 km	≈ 4828 m
light-day	≡ 24 light-hours	≡ 2.59020683712×10¹³ m
light-hour	≡ 60 light-minutes	≡ 1.0792528488×10¹² m
light-minute	≡ 60 light-seconds	≡ 1.798754748×10¹⁰ m
light-second	≡ Distance light travels in one second in vacuum	≡ 299792458 m
light-year	ly	≡ Distance light travels in vacuum in 365.25 days ^[9]	≡ 9.4607304725808×10¹⁵ m
line	ln	≡ ¹⁄₁₂ in ^[10]	= 0.002116 m
link (Gunter\'s; Surveyor\'s)	lnk	≡ ¹⁄₁₀₀ ch ^[7] ≡ 0.66 ft (US) ≡ 7.92 in	≈ 0.2011684 m
link (Ramsden\'s; Engineer\'s)	lnk	≡ 1 ft ^[7]	= 0.3048 m
metre (SI base unit) (meter)	m	≡ Distance light travels in ¹⁄_299792458 of a second in vacuum.^[11] ≈ ¹⁄_10000000 of the distance from equator to pole.	≡ 1 m
mickey	≡ ¹⁄₂₀₀ in	= 1.27×10⁻⁴ m
micrometre (old: micron)	μ; μm	≡ 1×10⁻⁶ m	≡ 1×10⁻⁶ m
mil; thou	mil	≡ 1×10⁻³ in	≡ 2.54×10⁻⁵ m
mil (Sweden and Norway)	mil	≡ 10 km	= 10000 m
mile (geographical) (H)	≡ 6082 ft	= 1853.7936 m
mile (international)	mi	≡ 80 chains ≡ 5280 ft ≡ 1760 yd	≡ 1609.344 m
mile (tactical or data)	≡ 6000 ft	≡ 1828.8 m
mile (telegraph) (H)	mi	≡ 6087 ft	= 1855.3176 m
mile (US Survey)	mi	≡ 5280 US Survey feet ≡ (5280 × ¹²⁰⁰⁄₃₉₃₇) m	≈ 1609.347219 m
nail (cloth)	≡ 2¹⁄₄ in ^[7]	= 0.05715 m
nanometre	nm	≡ 1×10⁻⁹ m	≡ 1×10⁻⁹ m
nautical league	NL; nl	≡ 3 nmi ^[7]	= 5556 m
nautical mile (Admiralty)	NM (Adm); nmi (Adm)	= 6080 ft	= 1853.184 m
nautical mile (international)	NM; nmi	≡ 1852 m^[12]	≡ 1852 m
nautical mile (US pre 1954)	≡ 1853.248 m	≡ 1853.248 m
pace	≡ 2.5 ft ^[7]	= 0.762 m
palm	≡ 3 in ^[7]	= 0.0762 m
parsec	pc	Distant point with a parallax shift of one arc second from a base of one astronomical unit. ≡ 648000/πAU^[13]^[14]	≈ 30856775814913700 m^[15]
pica	≡ 12 points	Dependent on point measures.
picometre	pm	≡ 1×10⁻¹² m	≡ 1×10⁻¹² m
point (American, English)^[16]^[17]	pt	≡ ¹⁄_72.272in	≈ 0.000351450 m
point (Didot; European) ^[17]^[18]	pt	≡ ¹⁄₁₂ × ¹⁄₇₂ of pied du roi; After 1878: ≡ ⁵⁄₁₃₃ cm	≈ 0.00037597 m; After 1878: ≈ 0.00037593985 m
point (PostScript) ^[16]	pt	≡ ¹⁄₇₂in	= 0.0003527 m
point (TeX) ^[16]	pt	≡ ¹⁄_72.27in	= 0.0003514598 m
quarter	≡ ¹⁄₄ yd	= 0.2286 m
rod; pole; perch (H)	rd	≡ 16¹⁄₂ ft	= 5.0292 m
rope (H)	rope	≡ 20 ft ^[7]	= 6.096 m
shaku (Japan)	≡ 10/33 m	≈ 0.303 0303 m
span (H)	≡ 9 in ^[7]	= 0.2286 m
spat^[19]	≡ 1×10¹² m
stick (H)	≡ 2 in	= 0.0508 m
toise (French, post 1667) (H)	T	≡ 27000/13853 m	≈ 1.949 0363 m
twip	twp	≡ ¹⁄₁₄₄₀ in	= 1.7638×10⁻⁵ m
x unit; siegbahn	xu	≈ 1.0021×10⁻¹³ m ^[7]
yard (International)	yd	≡ 0.9144 m ^[8] ≡ 3 ft ≡ 36 in	≡ 0.9144 m
yoctometre	ym	≡ 1×10⁻²⁴ m	≡ 1×10⁻²⁴ m
zeptometre	zm	≡ 1×10⁻²¹ m	≡ 1×10⁻²¹ m

Area[edit]

Area
Name of unit	Symbol	Definition	Relation to SI units
acre (international)	ac	≡ 1 ch × 10 ch = 4840 sq yd	≡ 4046.8564224 m²
acre (US survey)	ac	≡ 10 sq ch = 4840 sq yd, also 43560 sq ft	≈ 4046.873 m²^[20]
are	a	≡ 100 m²	≡ 100 m²
barn	b	≡ 10⁻²⁸ m²	≡ 10⁻²⁸ m²
barony	≡ 4000 ac	≡ 1.61874256896×10⁷ m²
board	bd	≡ 1 in × 1 ft	≡ 7.74192×10⁻³ m²
boiler horsepower equivalent direct radiation	bhp EDR	≡ 1 ft² × 1 bhp / (240 BTU_IT/h)	≈ 12.958174 m²
circular inch	circ in	≡ ^π⁄₄ sq in	≈ 5.067075×10⁻⁴ m²
circular mil; circular thou	circ mil	≡ ^π⁄₄ mil²	≈ 5.067075×10⁻¹⁰ m²
cord	≡ 192 bd	≡ 1.48644864 m²
cuerda (PR Survey)	cda	≡ 1 cda x 1 cda = 0.971222 acre	≡ 3930.395625 m²
dunam	≡ 1000 m²	= 1000 m²
guntha (India)	≡ 121 sq yd	≈ 101.17 m²
hectare	ha	≡ 10000 m²	≡ 10000 m²
hide	≈ 120 ac (variable)	≈ 5×10⁵ m²
rood	ro	≡ ¹⁄₄ ac	= 1011.7141056 m²
ping	≡ ²⁰⁄₁₁ m × ²⁰⁄₁₁ m	≈ 3.306 m²
section	≡ 1 mi × 1 mi	= 2.589988110336×10⁶ m²
shed	≡ 10⁻⁵² m²	= 10⁻⁵² m²
square (roofing)	≡ 10 ft × 10 ft	= 9.290304 m²
square chain (international)	sq ch	≡ 66 ft × 66 ft = ¹⁄₁₀ ac	≡ 404.68564224 m²
square chain (US Survey)	sq ch	≡ 66 ft (US) × 66 ft (US) = ¹⁄₁₀ US survey acre	≈ 404.6873 m²
square foot	sq ft	≡ 1 ft × 1 ft	≡ 9.290304×10⁻² m²
square foot (US Survey)	sq ft	≡ 1 ft (US) × 1 ft (US)	≈ 9.2903411613275×10⁻² m²
square inch	sq in	≡ 1 in × 1 in	≡ 6.4516×10⁻⁴ m²
square kilometre	km²	≡ 1 km × 1 km	= 10⁶ m²
square link (Gunter\'s)(International)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft	= 4.0468564224×10⁻² m²
square link (Gunter\'s)(US Survey)	sq lnk	≡ 1 lnk × 1 lnk ≡ 0.66 ft (US) × 0.66 ft (US)	≈ 4.046872×10⁻² m²
square link (Ramsden\'s)	sq lnk	≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft	= 0.09290304 m²
square metre (SI unit)	m²	≡ 1 m × 1 m	= 1 m²
square mil; square thou	sq mil	≡ 1 mil × 1 mil	= 6.4516×10⁻¹⁰ m²
square mile	sq mi	≡ 1 mi × 1 mi	≡ 2.589988110336×10⁶ m²
square mile (US Survey)	sq mi	≡ 1 mi (US) × 1 mi (US)	≈ 2.58999847×10⁶ m²
square rod/pole/perch	sq rd	≡ 1 rd × 1 rd	= 25.29285264 m²
square yard (International)	sq yd	≡ 1 yd × 1 yd	≡ 0.83612736 m²
stremma	≡ 1000 m²	= 1000 m²
township	≡ 36 sq mi (US)	≈ 9.323994×10⁷ m²
yardland	≈ 30 ac	≈ 1.2×10⁵ m²

Volume[edit]

Volume
Name of unit	Symbol	Definition	Relation to SI units
acre-foot	ac ft	≡ 1 ac x 1 ft = 43560 cu ft	= 1233.48183754752 m³
acre-inch	≡ 1 ac × 1 in	= 102.79015312896 m³
barrel (imperial)	bl (imp)	≡ 36 gal (imp)	= 0.16365924 m³
barrel (petroleum); archaic blue-barrel	bl; bbl	≡ 42 gal (US)	= 0.158987294928 m³
barrel (US dry)	bl (US)	≡ 105 qt (US) = 105/32 bu (US lvl)	= 0.115628198985075 m³
barrel (US fluid)	fl bl (US)	≡ 31¹⁄₂ gal (US)	= 0.119240471196 m³
board-foot	fbm	≡ 144 cu in	≡ 2.359737216×10⁻³ m³
bucket (imperial)	bkt	≡ 4 gal (imp)	= 0.01818436 m³
bushel (imperial)	bu (imp)	≡ 8 gal (imp)	= 0.03636872 m³
bushel (US dry heaped)	bu (US)	≡ 1¹⁄₄ bu (US lvl)	= 0.0440488377086 m³
bushel (US dry level)	bu (US lvl)	≡ 2150.42 cu in	= 0.03523907016688 m³
butt, pipe	≡ 126 gal (wine)	= 0.476961884784 m³
coomb	≡ 4 bu (imp)	= 0.14547488 m³
cord (firewood)	≡ 8 ft × 4 ft × 4 ft	= 3.624556363776 m³
cord-foot	≡ 16 cu ft	= 0.453069545472 m³
cubic fathom	cu fm	≡ 1 fm × 1 fm × 1 fm	= 6.116438863872 m³
cubic foot	ft³	≡ 1 ft × 1 ft × 1 ft	≡ 0.028316846592 m³
cubic inch	in³	≡ 1 in × 1 in × 1 in	≡ 16.387064×10⁻⁶ m³
cubic metre (SI unit)	m³	≡ 1 m × 1 m × 1 m	≡ 1 m³
cubic mile	cu mi	≡ 1 mi × 1 mi × 1 mi	≡ 4168181825.440579584 m³
cubic yard	yd³	≡ 27 cu ft	≡ 0.764554857984 m³
cup (breakfast)	≡ 10 fl oz (imp)	= 284.130625×10⁻⁶ m³
cup (Canadian)	c (CA)	≡ 8 fl oz (imp)	= 227.3045×10⁻⁶ m³
cup (metric)	c	≡ 250.0×10⁻⁶ m³	= 250.0×10⁻⁶ m³
cup (US customary)	c (US)	≡ 8 US fl oz ≡ ¹⁄₁₆ gal (US)	= 236.5882365×10⁻⁶ m³
cup (US food nutrition labeling)	c (US)	≡ 240 mL^[21]	= 2.4×10⁻⁴ m³
dash (imperial)	≡ ¹⁄₃₈₄ gi (imp) = ¹⁄₂ pinch (imp)	= 369.961751302083×10⁻⁹ m³
dash (US)	≡ ¹⁄₉₆ US fl oz = ¹⁄₂ US pinch	= 308.057599609375×10⁻⁹ m³
dessertspoon (imperial)	≡ ¹⁄₁₂ gi (imp)	= 11.8387760416×10⁻⁶ m³
drop (imperial)	gtt	≡ ¹⁄₂₈₈ fl oz (imp)	= 98.6564670138×10⁻⁹ m³
drop (imperial) (alt)	gtt	≡ ¹⁄₁₈₂₄ gi (imp)	≈ 77.886684×10⁻⁹ m³
drop (medical)	≡ ^0.9964⁄₁₂ ml	= 83.03×10⁻⁹ m³
drop (medical)	≡ ¹⁄₁₂ ml	= 83.3×10⁻⁹ m³
drop (metric)	≡ ¹⁄₂₀ mL	= 50.0×10⁻⁹ m³
drop (US)	gtt	≡ ¹⁄₃₆₀ US fl oz	= 82.14869322916×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₄₅₆ US fl oz	≈ 64.85423149671×10⁻⁹ m³
drop (US) (alt)	gtt	≡ ¹⁄₅₇₆ US fl oz	≈ 51.34293326823×10⁻⁹ m³
fifth	≡ ¹⁄₅ US gal	= 757.0823568×10⁻⁶ m³
firkin	≡ 9 gal (imp)	= 0.04091481 m³
fluid drachm (imperial)	fl dr	≡ ¹⁄₈ fl oz (imp)	= 3.5516328125×10⁻⁶ m³
fluid dram (US); US fluidram	fl dr	≡ ¹⁄₈ US fl oz	= 3.6966911953125×10⁻⁶ m³
fluid scruple (imperial)	fl s	≡ ¹⁄₂₄ fl oz (imp)	= 1.18387760416×10⁻⁶ m³
gallon (beer)	beer gal	≡ 282 cu in	= 4.621152048×10⁻³ m³
gallon (imperial)	gal (imp)	≡ 4.54609 L	≡ 4.54609×10⁻³ m³
gallon (US dry)	gal (US)	≡ ¹⁄₈ bu (US lvl)	= 4.40488377086×10⁻³ m³
gallon (US fluid; Wine)	gal (US)	≡ 231 cu in	≡ 3.785411784×10⁻³ m³
gill (imperial); Noggin	gi (imp); nog	≡ 5 fl oz (imp)	= 142.0653125×10⁻⁶ m³
gill (US)	gi (US)	≡ 4 US fl oz	= 118.29411825×10⁻⁶ m³
hogshead (imperial)	hhd (imp)	≡ 2 bl (imp)	= 0.32731848 m³
hogshead (US)	hhd (US)	≡ 2 fl bl (US)	= 0.238480942392 m³
jigger (bartending)	≡ 1¹⁄₂ US fl oz	≈ 44.36×10⁻⁶ m³
kilderkin	≡ 18 gal (imp)	= 0.08182962 m³
lambda	λ	≡ 1 mm³	= 1×10⁻⁹ m³
last	≡ 80 bu (imp)	= 2.9094976 m³
litre (liter)	L or l	≡ 1 dm³^[22]	≡ 0.001 m³
load	≡ 50 cu ft	= 1.4158423296 m³
minim (imperial)	min	≡ ¹⁄₄₈₀ fl oz (imp) = 1/60 fl dr (imp)	= 59.1938802083×10⁻⁹ m³
minim (US)	min	≡ ¹⁄₄₈₀ US fl oz = ¹⁄₆₀ US fl dr	= 61.611519921875×10⁻⁹ m³
ounce (fluid imperial)	fl oz (imp)	≡ ¹⁄₁₆₀ gal (imp)	≡ 28.4130625×10⁻⁶ m³
ounce (fluid US customary)	US fl oz	≡ ¹⁄₁₂₈ gal (US)	≡ 29.5735295625×10⁻⁶ m³
ounce (fluid US food nutrition labeling)	US fl oz	≡ 30 mL^[21]	≡ 3×10⁻⁵ m³
peck (imperial)	pk	≡ 2 gal (imp)	= 9.09218×10⁻³ m³
peck (US dry)	pk	≡ ¹⁄₄ US lvl bu	= 8.80976754172×10⁻³ m³
perch	per	≡ 16¹⁄₂ ft × 1¹⁄₂ ft × 1 ft	= 0.700841953152 m³
pinch (imperial)	≡ ¹⁄₁₉₂ gi (imp) = 1/16 tsp (imp)	= 739.92350260416×10⁻⁹ m³
pinch (US)	≡ ¹⁄₄₈ US fl oz = 1/16 US tsp	= 616.11519921875×10⁻⁹ m³
pint (imperial)	pt (imp)	≡ ¹⁄₈ gal (imp)	= 568.26125×10⁻⁶ m³
pint (US dry)	pt (US dry)	≡ ¹⁄₆₄ bu (US lvl) ≡ ¹⁄₈ gal (US dry)	= 550.6104713575×10⁻⁶ m³
pint (US fluid)	pt (US fl)	≡ ¹⁄₈ gal (US)	= 473.176473×10⁻⁶ m³
pony	≡ ³⁄₄ US fl oz	= 22.180147171875×10⁻⁶ m³
pottle; quartern	≡ ¹⁄₂ gal (imp) = 80 fl oz (imp)	= 2.273045×10⁻³ m³
quart (imperial)	qt (imp)	≡ ¹⁄₄ gal (imp)	= 1.1365225×10⁻³ m³
quart (US dry)	qt (US)	≡ ¹⁄₃₂ bu (US lvl) = ¹⁄₄ gal (US dry)	= 1.101220942715×10⁻³ m³
quart (US fluid)	qt (US)	≡ ¹⁄₄ gal (US fl)	= 946.352946×10⁻⁶ m³
quarter; pail	≡ 8 bu (imp)	= 0.29094976 m³
register ton	≡ 100 cu ft	= 2.8316846592 m³
sack (US)	≡ 3 bu (US lvl)	= 0.10571721050064 m³
seam	≡ 8 bu (US lvl)^{[citation needed]}	= 0.28191256133504 m³
shot (US)	usually 1.5 US fl oz^[19]	≈ 44×10⁻⁶ m³
strike (imperial)	≡ 2 bu (imp)	= 0.07273744 m³
strike (US)	≡ 2 bu (US lvl)	= 0.07047814033376 m³
tablespoon (Australian metric)	≡ 20.0×10⁻⁶ m³
tablespoon (Canadian)	tbsp	≡ ¹⁄₂ fl oz (imp)	= 14.20653125×10⁻⁶ m³
tablespoon (imperial)	tbsp	≡ ⁵⁄₈ fl oz (imp)	= 17.7581640625×10⁻⁶ m³
tablespoon (metric)	≡ 15.0×10⁻⁶ m³
tablespoon (US customary)	tbsp	≡ ¹⁄₂ US fl oz	= 14.78676478125×10⁻⁶ m³
tablespoon (US food nutrition labeling)	tbsp	≡ 15 mL^[21]	= 1.5×10⁻⁵ m³
teaspoon (Canadian)	tsp	≡ ¹⁄₆ fl oz (imp)	= 4.735510416×10⁻⁶ m³
teaspoon (imperial)	tsp	≡ ¹⁄₂₄ gi (imp)	= 5.91938802083×10⁻⁶ m³
teaspoon (metric)	≡ 5.0×10⁻⁶ m³	= 5.0×10⁻⁶ m³
teaspoon (US customary)	tsp	≡ ¹⁄₆ US fl oz	= 4.92892159375×10⁻⁶ m³
teaspoon (US food nutrition labeling)	tsp	≡ 5 mL^[21]	= 5×10⁻⁶ m³
timber foot	≡ 1 cu ft	= 0.028316846592 m³
ton (displacement)	≡ 35 cu ft	= 0.99108963072 m³
ton (freight)	≡ 40 cu ft	= 1.13267386368 m³
ton (water)	≡ 28 bu (imp)	= 1.01832416 m³
tun	≡ 252 gal (wine)	= 0.953923769568 m³
wey (US)	≡ 40 bu (US lvl)	= 1.4095628066752 m³

Plane angle[edit]

Plane angle
Name of unit	Symbol	Definition	Relation to SI units
angular mil	µ	≡ ^2π⁄₆₄₀₀ rad	≈ 0.981748×10⁻³ rad
arcminute; MOA	\'	≡ ^1°⁄₆₀	≈ 0.290888×10⁻³ rad
arcsecond	\'	≡ ^1°⁄₃₆₀₀	≈ 4.848137×10⁻⁶ rad
centesimal minute of arc	\'	≡ ¹⁄₁₀₀ grad	≈ 0.157080×10⁻³ rad
centesimal second of arc	\'	≡ ¹⁄₁₀₀₀₀ grad	≈ 1.570796×10⁻⁶ rad
degree (of arc)	°	≡ ¹⁄₃₆₀ of a revolution ≡ ^π⁄₁₈₀ rad	≈ 17.453293×10⁻³ rad
grad; gradian; gon	grad	≡ ¹⁄₄₀₀ of a revolution ≡ ^π⁄₂₀₀ rad ≡ 0.9°	≈ 15.707963×10⁻³ rad
octant	≡ 45°	≈ 0.785398 rad
quadrant	≡ 90°	≈ 1.570796 rad
radian (SI unit)	rad	The angle subtended at the center of a circle by an arc whose length is equal to the circle\'s radius. One full revolution encompasses 2π radians.	= 1 rad
sextant	≡ 60°	≈ 1.047198 rad
sign	≡ 30°	≈ 0.523599 rad

Solid angle[edit]

Solid angle
Name of unit	Symbol	Definition	Relation to SI units
spat	≡ 4π sr^[19] – The solid angle subtended by a sphere at its centre.	≈ 12.56637 sr
square degree	deg²; sq.deg.; (°)²	≡ (^π⁄₁₈₀)² sr	≈ 0.30462×10⁻³ sr
steradian (SI unit)	sr	The solid angle subtended at the center of a sphere of radius r by a portion of the surface of the sphere having an area r². A sphere subtends 4π sr.^[19]	= 1 sr

Mass[edit]

Notes:

See Weight for detail of mass/weight distinction and conversion.
Avoirdupois is a system of mass based on a pound of 16 ounces, while Troy weight is the system of mass where 12 troy ounces equals one troy pound.
In this table, the unit gee is used to denote standard gravity in order to avoid confusion with the \'g' symbol for grams.

Mass
Name of unit	Symbol	Definition	Relation to SI units
atomic mass unit, unified	u; AMU	Same as dalton (see below)	≈ 1.660539040(20)×10⁻²⁷ kg^[6]
atomic unit of mass, electron rest mass	m_e	≈ 9.10938291(40)×10⁻³¹ kg^[23]
bag (coffee)	≡ 60 kg	= 60 kg
bag (Portland cement)	≡ 94 lb av	= 42.63768278 kg
barge	≡ 22¹⁄₂ short ton	= 20411.65665 kg
carat	kt	≡ 3¹⁄₆ gr	= 205.1965483 mg
carat (metric)	ct	≡ 200 mg	= 200 mg
clove	≡ 8 lb av	= 3.62873896 kg
crith	≡ mass of 1 L of hydrogen gas at STP	≈ 89.9349 mg
dalton	Da	1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest	≈ 1.660538921(73)×10⁻²⁷ kg^[6]
dram (apothecary; troy)	dr t	≡ 60 gr	= 3.8879346 g
dram (avoirdupois)	dr av	≡ 27¹¹⁄₃₂ gr	= 1.7718451953125 g
electronvolt	eV	≡ 1 eV (energy unit) / c²	= 1.78266184(45)×10⁻³⁶ kg^[6]
gamma	γ	≡ 1 μg	= 1 μg
grain	gr	≡ ¹⁄₇₀₀₀ lb av	≡ 64.79891 mg
grave	gv.	grave was the original name of the kilogram	≡ 1 kg
hundredweight (long)	long cwt or cwt	≡ 112 lb av	= 50.80234544 kg
hundredweight (short); cental	sh cwt	≡ 100 lb av	= 45.359237 kg
kilogram (kilogramme)	kg	≡ mass of the prototype near Paris ≈ mass of 1 litre of water	≡ 1 kg (SI base unit)^[11]
kip	kip	≡ 1000 lb av	= 453.59237 kg
mark	≡ 8 oz t	= 248.8278144 g
mite	≡ ¹⁄₂₀ gr	= 3.2399455 mg
mite (metric)	≡ ¹⁄₂₀ g	= 50 mg
ounce (apothecary; troy)	oz t	≡ ¹⁄₁₂ lb t	= 31.1034768 g
ounce (avoirdupois)	oz av	≡ ¹⁄₁₆ lb	= 28.349523125 g
ounce (US food nutrition labelling)	oz	≡ 28 g^[21]	= 28 g
pennyweight	dwt; pwt	≡ ¹⁄₂₀ oz t	= 1.55517384 g
point	≡ ¹⁄₁₀₀ ct	= 2 mg
pound (avoirdupois)	lb av	≡ 0.45359237 kg = 7000 grains	≡ 0.45359237 kg
pound (metric)	≡ 500 g	= 500 g
pound (troy)	lb t	≡ 5760 grains	= 0.3732417216 kg
quarter (imperial)	≡ ¹⁄₄ long cwt = 2 st = 28 lb av	= 12.70058636 kg
quarter (informal)	≡ ¹⁄₄ short ton	= 226.796185 kg
quarter, long (informal)	≡ ¹⁄₄ long ton	= 254.0117272 kg
quintal (metric)	q	≡ 100 kg	= 100 kg
scruple (apothecary)	s ap	≡ 20 gr	= 1.2959782 g
sheet	≡ ¹⁄₇₀₀ lb av	= 647.9891 mg
slug; geepound; hyl	slug	≡ 1 ɡ₀ × 1 lb av × 1 s²/ft	≈ 14.593903 kg
stone	st	≡ 14 lb av	= 6.35029318 kg
ton, assay (long)	AT	≡ 1 mg × 1 long ton ÷ 1 oz t	= 32.6 g
ton, assay (short)	AT	≡ 1 mg × 1 short ton ÷ 1 oz t	= 29.16 g
ton, long	long tn or ton	≡ 2240 lb	= 1016.0469088 kg
ton, short	sh tn	≡ 2000 lb	= 907.18474 kg
tonne (mts unit)	t	≡ 1000 kg	= 1000 kg
wey	≡ 252 lb = 18 st	= 114.30527724 kg (variants exist)
Zentner	Ztr.	Definitions vary.^[19]^[24]

Density[edit]

Density
Name of unit	Symbol	Definition	Relation to SI units
gram per millilitre	g/mL	≡ g/mL	= 1000 kg/m³
kilogram per cubic metre (SI unit)	kg/m³	≡ kg/m³	= 1 kg/m³
kilogram per litre	kg/L	≡ kg/L	= 1000 kg/m³
ounce (avoirdupois) per cubic foot	oz/ft³	≡ oz/ft³	≈ 1.001153961 kg/m³
ounce (avoirdupois) per cubic inch	oz/in³	≡ oz/in³	≈ 1.729994044×10³ kg/m³
ounce (avoirdupois) per gallon (imperial)	oz/gal	≡ oz/gal	≈ 6.236023291 kg/m³
ounce (avoirdupois) per gallon (US fluid)	oz/gal	≡ oz/gal	≈ 7.489151707 kg/m³
pound (avoirdupois) per cubic foot	lb/ft³	≡ lb/ft³	≈ 16.01846337 kg/m³
pound (avoirdupois) per cubic inch	lb/in³	≡ lb/in³	≈ 2.767990471×10⁴ kg/m³
pound (avoirdupois) per gallon (imperial)	lb/gal	≡ lb/gal	≈ 99.77637266 kg/m³
pound (avoirdupois) per gallon (US fluid)	lb/gal	≡ lb/gal	≈ 119.8264273 kg/m³
slug per cubic foot	slug/ft³	≡ slug/ft³	≈ 515.3788184 kg/m³

Time[edit]

Time
Name of unit	Symbol	Definition	Relation to SI units
Atomic unit of time	au	≡ a₀/(α·c)	≈ 2.418884254×10⁻¹⁷ s
Callippic cycle	≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d	= 2.396736 Gs or 2.3983776 Gs^{[note 1]}
Century	c	≡ 100 years (100 a)	= 3.1556952 Gs^{[note 2]}^{[note 3]}
Day	d	= 24 h = 1440 min	= 86.4 ks^{[note 3]}
Day (sidereal)	d	≡ Time needed for the Earth to rotate once around its axis, determined from successive transits of a very distant astronomical object across an observer\'s meridian (International Celestial Reference Frame)	≈ 86.1641 ks
Decade	dec	≡ 10 years (10 a)	= 315.569520 Ms^{[note 2]}^{[note 3]}
Fortnight	fn	≡ 2 wk	= 1.2096 Ms^{[note 3]}
Helek	≡ ¹⁄₁₀₈₀ h	= 3.3 s
Hipparchic cycle	≡ 4 Callippic cycles - 1 d	= 9.593424 Gs
Hour	h	≡ 60 min	= 3.6 ks^{[note 3]}
Jiffy	j	≡ ¹⁄₆₀ s	= 16.6 ms
Jiffy (alternative)	ja	≡ ¹⁄₁₀₀ s	= 10 ms
Ke (quarter of an hour)	≡ ¹⁄₄ h = ¹⁄₉₆ d = 15 min	= 900 s
Ke (traditional)	≡ ¹⁄₁₀₀ d = 14.4 min	= 864 s
Lustre; Lustrum	≡ 5 a of 365 d^{[note 4]}	= 157.68 Ms
Metonic cycle; enneadecaeteris	≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a	= 599.616 Ms
Millennium	≡ 1000 years (1000 a)	= 31.556952 Gs^{[note 2]}^{[note 3]}
Milliday	md	≡ ¹⁄₁₀₀₀ d	= 86.4 s
Minute	min	≡ 60 s, due to leap seconds sometimes 59 s or 61 s,	= 60 s^{[note 3]}
Moment	≡ 90 s	= 90 s
Month (full)	mo	≡ 30 d^[25]	= 2.592×10⁶ s^{[note 3]}
Month (Greg. av.)	mo	= 30.436875 d	≈ 2.6297 Ms^{[note 3]}
Month (hollow)	mo	≡ 29 d^[25]	= 2.5056 Ms^{[note 3]}
Month (synodic)	mo	Cycle time of moon phases ≈ 29.530589 d (average)	≈ 2.551 Ms
Octaeteris	= 48 mo (full) + 48 mo (hollow) + 3 mo (full)^[26]^[27] = 8 a of 365.25 d = 2922 d	= 252.4608 Ms^{[note 3]}
Planck time	≡ (⁄_c⁵)^¹⁄₂	≈ 5.39116×10⁻⁴⁴ s^[28]
Second	s	Time of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom at 0 K^[11] (but other seconds are sometimes used in astronomy). Also that time it takes for light to travel a distance of 299792458 metres.	(SI base unit)
Shake	≡ 10⁻⁸ s	= 10 ns
Sigma	≡ 10⁻⁶ s	= 1 μs
Sothic cycle	≡ 1461 a of 365 d	= 46.074096 Gs
Svedberg	S	≡ 10⁻¹³ s	= 100 fs
Week	wk	≡ 7 d = 168 h = 10080 min	= 604.8 ks^{[note 3]}
Year (common)	a, y, or yr	365 d	= 31.536 Ms^{[note 3]}^{[note 3]}^[29]
Year (Gregorian)	a, y, or yr	= 365.2425 d average, calculated from common years (365 d) plus leap years (366 d) on most years divisible by 4. See leap year for details.	= 31.556952 Ms^{[note 3]}
Year (Julian)	a, y, or yr	= 365.25 d average, calculated from common years (365 d) plus one leap year (366 d) every four years	= 31.5576 Ms
Year (leap)	a, y, or yr	366 d	= 31.6224 Ms^{[note 3]}^[29]
Year (mean tropical)	a, y, or yr	Conceptually, the length of time it takes for the Sun to return to the same position in the cycle of seasons, ^{[Converter 1]} approximately 365.24219 d, each day being 86400 SI seconds^[30]	≈ 31.556925 Ms
Year (sidereal)	a, y, or yr	≡ Time taken for Sun to return to the same position with respect to the stars of the celestial sphere, approximately 365.256363 d	≈ 31.5581497632 Ms
Notes: ^see Callippic cycle for explanation of the differences ^ ^a^b^cThis is based on the average Gregorian year. See above for definition of year lengths. ^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pWhere UTC is observed, the length of this unit may increase or decrease depending on the number of leap seconds which occur during the time interval in question. ^The length of ancient lustral cycles was not constant; see Lustrum for more details

Frequency[edit]

Frequency
Name of unit	Symbol	Definition	Relation to SI units
hertz (SI unit)	Hz	≡ Number of cycles per second	= 1 Hz = 1/s
revolutions per minute	rpm	≡ One unit rpm equals one rotation completed around a fixed axis in one minute of time.	≈ 0.104719755 rad/s

Speed or velocity[edit]

Speed
Name of unit	Symbol	Definition	Relation to SI units
foot per hour	fph	≡ 1 ft/h	= 8.46×10⁻⁵ m/s
foot per minute	fpm	≡ 1 ft/min	= 5.08×10⁻³ m/s
foot per second	fps	≡ 1 ft/s	= 3.048×10⁻¹ m/s
furlong per fortnight	≡ furlong/fortnight	≈ 1.663095×10⁻⁴ m/s
inch per hour	iph	≡ 1 in/h	= 7.05×10⁻⁶ m/s
inch per minute	ipm	≡ 1 in/min	= 4.23×10⁻⁴ m/s
inch per second	ips	≡ 1 in/s	= 2.54×10⁻² m/s
kilometre per hour	km/h	≡ 1 km/h	= 2.7×10⁻¹ m/s
knot	kn	≡ 1 nmi/h = 1.852 km/h	= 0.514 m/s
knot (Admiralty)	kn	≡ 1 NM (Adm)/h = 1.853184 km/h^{[citation needed]}	= 0.514773 m/s
mach number	M	Ratio of the speed to the speed of sound^{[note 1]} in the medium (unitless).	≈ 340 to 295 m/s
metre per second (SI unit)	m/s	≡ 1 m/s	= 1 m/s
mile per hour	mph	≡ 1 mi/h	= 0.44704 m/s
mile per minute	mpm	≡ 1 mi/min	= 26.8224 m/s
mile per second	mps	≡ 1 mi/s	= 1609.344 m/s
speed of light in vacuum	c	≡ 299792458 m/s	= 299792458 m/s
speed of sound in air	s	1225 to 1062 km/h (761–660 mph or 661–574 kn)^{[note 1]}	≈ 340 to 295 m/s
Note ^ ^a^bThe speed of sound varies especially with temperature and pressure from about 1225 km/h (761 mph or 661 kn) in air at sea level to about 1062 km/h (660 mph or 570 kn) at jet altitudes (12200 m or 40000 ft).^[31]

A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.

Flow (volume)[edit]

Flow
Name of unit	Symbol	Definition	Relation to SI units
cubic foot per minute	CFM^{[citation needed]}	≡ 1 ft³/min	= 4.719474432×10⁻⁴ m³/s
cubic foot per second	ft³/s	≡ 1 ft³/s	= 0.028316846592 m³/s
cubic inch per minute	in³/min	≡ 1 in³/min	= 2.7311773×10⁻⁷ m³/s
cubic inch per second	in³/s	≡ 1 in³/s	= 1.6387064×10⁻⁵ m³/s
cubic metre per second (SI unit)	m³/s	≡ 1 m³/s	= 1 m³/s
gallon (US fluid) per day	GPD^{[citation needed]}	≡ 1 gal/d	= 4.381263638×10⁻⁸ m³/s
gallon (US fluid) per hour	GPH^{[citation needed]}	≡ 1 gal/h	= 1.051503273×10⁻⁶ m³/s
gallon (US fluid) per minute	GPM^{[citation needed]}	≡ 1 gal/min	= 6.30901964×10⁻⁵ m³/s
litre per minute	LPM^{[citation needed]}	≡ 1 L/min	= 1.6×10⁻⁵ m³/s

Acceleration[edit]

Acceleration
Name of unit	Symbol	Definition	Relation to SI units
foot per hour per second	fph/s	≡ 1 ft/(h·s)	= 8.46×10⁻⁵ m/s²
foot per minute per second	fpm/s	≡ 1 ft/(min·s)	= 5.08×10⁻³ m/s²
foot per second squared	fps²	≡ 1 ft/s²	= 3.048×10⁻¹ m/s²
gal; galileo	Gal	≡ 1 cm/s²	= 10⁻² m/s²
inch per minute per second	ipm/s	≡ 1 in/(min·s)	= 4.23×10⁻⁴ m/s²
inch per second squared	ips²	≡ 1 in/s²	= 2.54×10⁻² m/s²
knot per second	kn/s	≡ 1 kn/s	≈ 5.14×10⁻¹ m/s²
metre per second squared (SI unit)	m/s²	≡ 1 m/s²	= 1 m/s²
mile per hour per second	mph/s	≡ 1 mi/(h·s)	= 4.4704×10⁻¹ m/s²
mile per minute per second	mpm/s	≡ 1 mi/(min·s)	= 26.8224 m/s²
mile per second squared	mps²	≡ 1 mi/s²	= 1.609344×10³ m/s²
standard gravity	ɡ₀	≡ 9.80665 m/s²	= 9.80665 m/s²

Force[edit]

Force
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of force	≡ ^{m_e·α²·c²}⁄_a₀	≈ 8.23872206×10⁻⁸ N^[32]
dyne (cgs unit)	dyn	≡ g·cm/s²	= 10⁻⁵ N
kilogram-force; kilopond; grave-force	kgf; kp; Gf	≡ ɡ₀ × 1 kg	= 9.80665 N
kip; kip-force	kip; kipf; klbf	≡ ɡ₀ × 1000 lb	= 4.4482216152605×10³ N
milligrave-force, gravet-force	mGf; gf	≡ ɡ₀ × 1 g	= 9.80665 mN
long ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 long ton	= 9.96401641818352×10³ N
newton (SI unit)	N	A force capable of giving a mass of one kilogram an acceleration of one metre per second per second.^[33]	= 1 N = 1 kg·m/s²
ounce-force	ozf	≡ ɡ₀ × 1 oz	= 0.27801385095378125 N
pound-force	lbf	≡ ɡ₀ × 1 lb	= 4.4482216152605 N
poundal	pdl	≡ 1 lb·ft/s²	= 0.138254954376 N
short ton-force	tnf^{[citation needed]}	≡ ɡ₀ × 1 short ton	= 8.896443230521×10³ N
sthene (mts unit)	sn	≡ 1 t·m/s²	= 10³ N

See also:Conversion between weight (force) and mass

Pressure or mechanical stress[edit]

Pressure
Name of unit	Symbol	Definition	Relation to SI units
atmosphere (standard)	atm	≡ 101325 Pa^[34]
atmosphere (technical)	at	≡ 1 kgf/cm²	= 9.80665×10⁴ Pa^[34]
bar	bar	≡ 10⁵ Pa
barye (cgs unit)	≡ 1 dyn/cm²	= 0.1 Pa
centimetre of mercury	cmHg	≡ 13595.1 kg/m³ × 1 cm × ɡ₀	≈ 1.33322×10³ Pa^[34]
centimetre of water (4 °C)	cmH₂O	≈ 999.972 kg/m³ × 1 cm × ɡ₀	≈ 98.0638 Pa^[34]
foot of mercury (conventional)	ftHg	≡ 13595.1 kg/m³ × 1 ft × ɡ₀	≈ 4.063666×10⁴ Pa^[34]
foot of water (39.2 °F)	ftH₂O	≈ 999.972 kg/m³ × 1 ft × ɡ₀	≈ 2.98898×10³ Pa^[34]
inch of mercury (conventional)	inHg	≡ 13595.1 kg/m³ × 1 in × ɡ₀	≈ 3.386389×10³ Pa^[34]
inch of water (39.2 °F)	inH₂O	≈ 999.972 kg/m³ × 1 in × ɡ₀	≈ 249.082 Pa^[34]
kilogram-force per square millimetre	kgf/mm²	≡ 1 kgf/mm²	= 9.80665×10⁶ Pa^[34]
kip per square inch	ksi	≡ 1 kipf/sq in	≈ 6.894757×10⁶ Pa^[34]
long ton per square foot	≡ 1 long ton × ɡ₀ / 1 sq ft	≈ 1.0725178011595×10⁵ Pa
micrometre of mercury	μmHg	≡ 13595.1 kg/m³ × 1 μm × ɡ₀ ≈ 0.001 torr	≈ 0.1333224 Pa^[34]
millimetre of mercury	mmHg	≡ 13595.1 kg/m³ × 1 mm × ɡ₀ ≈ 1 torr	≈ 133.3224 Pa^[34]
millimetre of water (3.98 °C)	mmH₂O	≈ 999.972 kg/m³ × 1 mm × ɡ₀ = 0.999972 kgf/m²	= 9.80638 Pa
pascal (SI unit)	Pa	≡ N/m² = kg/(m·s²)	= 1 Pa^[35]
pièze (mts unit)	pz	≡ 1000 kg/m·s²	= 10³ Pa = 1 kPa
pound per square foot	psf	≡ 1 lbf/ft²	≈ 47.88026 Pa^[34]
pound per square inch	psi	≡ 1 lbf/in²	≈ 6.894757×10³ Pa^[34]
poundal per square foot	pdl/sq ft	≡ 1 pdl/sq ft	≈ 1.488164 Pa^[34]
short ton per square foot	≡ 1 short ton × ɡ₀ / 1 sq ft	≈ 9.5760518×10⁴ Pa
torr	torr	≡ ¹⁰¹³²⁵⁄₇₆₀ Pa	≈ 133.3224 Pa^[34]

Torque or moment of force[edit]

Torque
Name of unit	Symbol	Definition	Relation to SI units
pound-force-foot	lbf•ft	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 N⋅m
poundal-ft	pdl•ft	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² N⋅m
pound force-inch	lbf•in	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 N⋅m
kilogram force-meter	kgf•m	≡ ɡ₀ × N × m	= 9.80665 N⋅m
Newton metre (SI unit)	N·m	≡ N × m = kg·m²/s²	= 1 N⋅m

Energy[edit]

Energy
Name of unit	Symbol	Definition	Relation to SI units
barrel of oil equivalent	boe	≈ 5.8×10⁶ BTU_{59 °F}	≈ 6.12×10⁹ J
British thermal unit (ISO)	BTU_ISO	≡ 1.0545×10³ J	= 1.0545×10³ J
British thermal unit (International Table)	BTU_IT	= 1.05505585262×10³ J
British thermal unit (mean)	BTU_mean	≈ 1.05587×10³ J
British thermal unit (thermochemical)	BTU_th	≈ 1.054350×10³ J
British thermal unit (39 °F)	BTU_{39 °F}	≈ 1.05967×10³ J
British thermal unit (59 °F)	BTU_{59 °F}	≡ 1.054804×10³ J	= 1.054804×10³ J
British thermal unit (60 °F)	BTU_{60 °F}	≈ 1.05468×10³ J
British thermal unit (63 °F)	BTU_{63 °F}	≈ 1.0546×10³ J
calorie (International Table)	cal_IT	≡ 4.1868 J	= 4.1868 J
calorie (mean)	cal_mean	¹⁄₁₀₀ of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm	≈ 4.19002 J
calorie (thermochemical)	cal_th	≡ 4.184 J	= 4.184 J
Calorie (US; FDA)	Cal	≡ 1 kcal = 1000 cal	= 4184 J
calorie (3.98 °C)	cal_{3.98 °C}	≈ 4.2045 J
calorie (15 °C)	cal_{15 °C}	≡ 4.1855 J	= 4.1855 J
calorie (20 °C)	cal_{20 °C}	≈ 4.1819 J
Celsius heat unit (International Table)	CHU_IT	≡ 1 BTU_IT × 1 K/°R	= 1.899100534716×10³ J
cubic centimetre of atmosphere; standard cubic centimetre	cc atm; scc	≡ 1 atm × 1 cm³	= 0.101325 J
cubic foot of atmosphere; standard cubic foot	cu ft atm; scf	≡ 1 atm × 1 ft³	= 2.8692044809344×10³ J
cubic foot of natural gas	≡ 1000 BTU_IT	= 1.05505585262×10⁶ J
cubic yard of atmosphere; standard cubic yard	cu yd atm; scy	≡ 1 atm × 1 yd³	= 77.4685209852288×10³ J
electronvolt	eV	≡ e × 1 V	≈ 1.602176565(35)×10⁻¹⁹ J
erg (cgs unit)	erg	≡ 1 g·cm²/s²	= 10⁻⁷ J
foot-pound force	ft lbf	≡ ɡ₀ × 1 lb × 1 ft	= 1.3558179483314004 J
foot-poundal	ft pdl	≡ 1 lb·ft²/s²	= 4.21401100938048×10⁻² J
gallon-atmosphere (imperial)	imp gal atm	≡ 1 atm × 1 gal (imp)	= 460.63256925 J
gallon-atmosphere (US)	US gal atm	≡ 1 atm × 1 gal (US)	= 383.5568490138 J
hartree, atomic unit of energy	E_h	≡ m_e·α²·c² (= 2 Ry)	≈ 4.359744×10⁻¹⁸ J
horsepower-hour	hp·h	≡ 1 hp × 1 h	= 2.684519537696172792×10⁶ J
inch-pound force	in lbf	≡ ɡ₀ × 1 lb × 1 in	= 0.1129848290276167 J
joule (SI unit)	J	The work done when a force of one newton moves the point of its application a distance of one metre in the direction of the force.^[33]	= 1 J = 1 m·N = 1 kg·m²/s² = 1 C·V = 1 W·s
kilocalorie; large calorie	kcal; Cal	≡ 1000 cal_IT	= 4.1868×10³ J
kilowatt-hour; Board of Trade Unit	kW·h; B.O.T.U.	≡ 1 kW × 1 h	= 3.6×10⁶ J
litre-atmosphere	l atm; sl	≡ 1 atm × 1 L	= 101.325 J
quad	≡ 10¹⁵ BTU_IT	= 1.05505585262×10¹⁸ J
rydberg	Ry	≡ R_∞·ℎ·c	≈ 2.179872×10⁻¹⁸ J
therm (E.C.)	≡ 100000 BTU_IT	= 105.505585262×10⁶ J
therm (US)	≡ 100000 BTU_{59 °F}	= 105.4804×10⁶ J
thermie	th	≡ 1 Mcal_IT	= 4.1868×10⁶ J
ton of coal equivalent	TCE	≡ 7 Gcal_th	= 29.288×10⁹ J
tonne of oil equivalent	toe	≡ 10 Gcal_IT	= 41.868×10⁹ J
ton of TNT	tTNT	≡ 1 Gcal_th	= 4.184×10⁹ J

Power or heat flow rate[edit]

Power
Name of unit	Symbol	Definition	Relation to SI units
atmosphere-cubic centimetre per minute	atm ccm^{[citation needed]}	≡ 1 atm × 1 cm³/min	= 1.68875×10⁻³ W
atmosphere-cubic centimetre per second	atm ccs^{[citation needed]}	≡ 1 atm × 1 cm³/s	= 0.101325 W
atmosphere-cubic foot per hour	atm cfh^{[citation needed]}	≡ 1 atm × 1 cu ft/h	= 0.79700124704 W
atmosphere-cubic foot per minute	atm cfm^{[citation needed]}	≡ 1 atm × 1 cu ft/min	= 47.82007468224 W
atmosphere-cubic foot per second	atm cfs^{[citation needed]}	≡ 1 atm × 1 cu ft/s	= 2.8692044809344×10³ W
BTU (International Table) per hour	BTU_IT/h	≡ 1 BTU_IT/h	≈ 0.293071 W
BTU (International Table) per minute	BTU_IT/min	≡ 1 BTU_IT/min	≈ 17.584264 W
BTU (International Table) per second	BTU_IT/s	≡ 1 BTU_IT/s	= 1.05505585262×10³ W
calorie (International Table) per second	cal_IT/s	≡ 1 cal_IT/s	= 4.1868 W
erg per second	erg/s	≡ 1 erg/s	= 10⁻⁷ W
foot-pound-force per hour	ft·lbf/h	≡ 1 ft lbf/h	≈ 3.766161×10⁻⁴ W
foot-pound-force per minute	ft·lbf/min	≡ 1 ft lbf/min	= 2.259696580552334×10⁻² W
foot-pound-force per second	ft·lbf/s	≡ 1 ft lbf/s	= 1.3558179483314004 W
horsepower (boiler)	hp	≈ 34.5 lb/h × 970.3 BTU_IT/lb	≈ 9809.5 W^[36]
horsepower (European electrical)	hp	≡ 75 kp·m/s	= 736 W^{[citation needed]}
horsepower (electrical)	hp	≡ 746 W	= 746 W^[36]
horsepower (mechanical)	hp	≡ 550 ft·lbf/s^[36]	= 745.69987158227022 W
horsepower (metric)	hp or PS	≡ 75 m·kgf/s	= 735.49875 W^[36]
litre-atmosphere per minute	L·atm/min	≡ 1 atm × 1 L/min	= 1.68875 W
litre-atmosphere per second	L·atm/s	≡ 1 atm × 1 L/s	= 101.325 W
lusec	lusec	≡ 1 L·µmHg/s ^[19]	≈ 1.333×10⁻⁴ W
poncelet	p	≡ 100 m·kgf/s	= 980.665 W
square foot equivalent direct radiation	sq ft EDR	≡ 240 BTU_IT/h	≈ 70.337057 W
ton of air conditioning	≡ 2000 lb of ice melted / 24 h	≈ 3504 W
ton of refrigeration (imperial)	≡ 2240 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.938875×10³ W
ton of refrigeration (IT)	≡ 2000 lb × ice_IT / 24 h: ice_IT = 144 °F × 2326 J/kg·°F	≈ 3.516853×10³ W
watt (SI unit)	W	The power which in one second of time gives rise to one joule of energy.^[33]	= 1 W = 1 J/s = 1 N·m/s = 1 kg·m²/s³

Action[edit]

Action
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of action	au	≡ ℏ ≡ ^ℎ⁄_2π	≈ 1.05457168×10⁻³⁴ J·s^[37]

Dynamic viscosity[edit]

Dynamic viscosity
Name of unit	Symbol	Definition	Relation to SI units
pascal second (SI unit)	Pa·s	≡ N·s/m², kg/(m·s)	= 1 Pa·s
poise (cgs unit)	P	≡ 1 barye·s	= 0.1 Pa·s
pound per foot hour	lb/(ft·h)	≡ 1 lb/(ft·h)	≈ 4.133789×10⁻⁴ Pa·s
pound per foot second	lb/(ft·s)	≡ 1 lb/(ft·s)	≈ 1.488164 Pa·s
pound-force second per square foot	lbf·s/ft²	≡ 1 lbf·s/ft²	≈ 47.88026 Pa·s
pound-force second per square inch	lbf·s/in²	≡ 1 lbf·s/in²	≈ 6894.757 Pa·s

Kinematic viscosity[edit]

Kinematic viscosity
Name of unit	Symbol	Definition	Relation to SI units
square foot per second	ft²/s	≡ 1 ft²/s	= 0.09290304 m²/s
square metre per second (SI unit)	m²/s	≡ 1 m²/s	= 1 m²/s
stokes (cgs unit)	St	≡ 1 cm²/s	= 10⁻⁴ m²/s

Electric current[edit]

Electric current
Name of unit	Symbol	Definition	Relation to SI units
ampere (SI base unit)	A	≡ The constant current needed to produce a force of 2 ×10⁻⁷ newton per metre between two straight parallel conductors of infinite length and negligible circular cross-section placed one metre apart in a vacuum.^[11]	= 1 A = 1 C/s
electromagnetic unit; abampere (cgs unit)	abamp	≡ 10 A	= 10 A
esu per second; statampere (cgs unit)	esu/s	≡ ^{0.1 A·m/s}⁄_c	≈ 3.335641×10⁻¹⁰ A

Electric charge[edit]

Electric charge
Name of unit	Symbol	Definition	Relation to SI units
abcoulomb; electromagnetic unit (cgs unit)	abC; emu	≡ 10 C	= 10 C
atomic unit of charge	au	≡ e	≈ 1.602176462×10⁻¹⁹ C
coulomb	C	≡ The amount of electricity carried in one second of time by one ampere of current.^[33]	= 1 C = 1 A·s
faraday	F	≡ 1 mol × N_A·e	≈ 96485.3383 C
milliampere hour	mA·h	≡ 0.001 A × 1 h	= 3.6 C
statcoulomb; franklin; electrostatic unit (cgs unit)	statC; Fr; esu	≡ ^{0.1 A·m}⁄_c	≈ 3.335641×10⁻¹⁰ C

Electric dipole[edit]

Electric dipole
Name of unit	Symbol	Definition	Relation to SI units
atomic unit of electric dipole moment	ea₀	≈ 8.47835281×10⁻³⁰ C·m^[38]
coulomb meter	C·m	= 1 C · 1 m
debye	D	= 10⁻¹⁰ esu·Å	= 3.33564095×10⁻³⁰ C·m^[39]

Electromotive force, electric potential difference[edit]

Voltage, electromotive force
Name of unit	Symbol	Definition	Relation to SI units
abvolt (cgs unit)	abV	≡ 10⁻⁸ V	= 10⁻⁸ V
statvolt (cgs unit)	statV	≡ c·(1 μJ/A·m)	= 299.792458 V
volt (SI unit)	V	The difference in electric potential across two points along a conducting wire carrying one ampere of constant current when the power dissipated between the points equals one watt.^[33]	= 1 V = 1 W/A = 1 kg·m²/(A·s³)

Electrical resistance[edit]

Electrical resistance
Name of unit	Symbol	Definition	Relation to SI units
ohm (SI unit)	Ω	The resistance between two points in a conductor when one volt of electric potential difference, applied to these points, produces one ampere of current in the conductor.^[33]	= 1 Ω = 1 V/A = 1 kg·m²/(A²·s³)

Capacitance[edit]

Capacitor\'s ability to store charge
Name of unit	Symbol	Definition	Relation to SI units
farad (SI unit)	F	The capacitance between two parallel plates that results in one volt of potential difference when charged by one coulomb of electricity.^[33]	= 1 F = 1 C/V = 1 A²·s⁴/(kg·m²)

Magnetic flux[edit]

magnetic flux
Name of unit	Symbol	Definition	Relation to SI units
maxwell (CGS unit)	Mx	≡ 10⁻⁸ Wb^[36]	= 10⁻⁸ Wb
weber (SI unit)	Wb	Magnetic flux which, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second.^[33]	= 1 Wb = 1 V·s = 1 kg·m²/(A·s²)

Magnetic flux density[edit]

What physicists call Magnetic field is called Magnetic flux density by electrical engineers and magnetic induction by applied mathematicians and electrical engineers.
Name of unit	Symbol	Definition	Relation to SI units
gauss (CGS unit)	G	≡ Mx/cm² = 10⁻⁴ T	= 10⁻⁴ T ^[40]
tesla (SI unit)	T	≡ Wb/m²	= 1 T = 1 Wb/m²= 1 kg/(A·s²)

Inductance[edit]

Inductance
Name of unit	Symbol	Definition	Relation to SI units
henry (SI unit)	H	The inductance of a closed circuit that produces one volt of electromotive force when the current in the circuit varies at a uniform rate of one ampere per second.^[33]	= 1 H = 1 Wb/A = 1 kg·m²/(A·s)²

Temperature[edit]

Temperature
Name of unit	Symbol	Definition	Relation to SI units
degree Celsius	°C	[°C] ≡ [K] − 273.15	[K] ≡ [°C] + 273.15
degree Delisle	°De	[K] = 373.15 − [°De] × ²⁄₃
degree Fahrenheit	°F	[°F] ≡ [°C] × ⁹⁄₅ + 32	[K] ≡ ([°F] + 459.67) × ⁵⁄₉
degree Newton	°N	[K] = [°N] × ¹⁰⁰⁄₃₃ + 273.15
degree Rankine	°R;	[°R] ≡ [K] × ⁹⁄₅	[K] ≡ [°R] × 5/9
degree Réaumur	°Ré	[K] = [°Ré] × ⁵⁄₄ + 273.15
degree Rømer	°Rø	[K] = ([°Rø] − 7.5) × ⁴⁰⁄₂₁ + 273.15
Regulo Gas Mark	GM;	[°F] ≡ [GM] × 25 + 300	[K] ≡ [GM] × ¹²⁵⁄₉ + 422.038
kelvin (SI base unit)	K	≡ ¹⁄_273.16 of the thermodynamic temperature of the triple point of water.^[11]	≡ 1 K

Information entropy[edit]

Information entropy
Name of unit	Symbol	Definition	Relation to SI units	Relation to bits
natural unit of information; nip; nepit	nat
shannon; bit	Sh; bit; b	≡ ln(2) × nat	≈ 0.693147nat	= 1 bit
hartley; ban	Hart; ban	≡ ln(10) × nat	≈ 2.302585nat
nibble	≡ 4 bits	= 2² bit
byte	B	≡ 8 bits	= 2³ bit
kilobyte (decimal)	kB	≡ 1000 B	= 8000 bit
kilobyte (kibibyte)	KB; KiB	≡ 1024 B	= 2¹³ bit = 8192 bit

Luminous intensity[edit]

The candela is the preferred nomenclature for the SI unit.

Luminous intensity
Name of unit	Symbol	Definition	Relation to SI units
candela (SI base unit); candle	cd	The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×10¹² hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.^[11]	= 1 cd
candlepower (new)	cp	≡ cd The use of candlepower as a unit is discouraged due to its ambiguity.	= 1 cd
candlepower (old, pre-1948)	cp	Varies and is poorly reproducible.^[41] Approximately 0.981 cd.^[19]	≈ 0.981 cd

Luminance[edit]

Luminance
Name of unit	Symbol	Definition	Relation to SI units
candela per square foot	cd/ft²	≡ cd/ft²	≈ 10.763910417 cd/m²
candela per square inch	cd/in²	≡ cd/in²	≈ 1550.0031 cd/m²
candela per square metre (SI unit); nit (deprecated^[19])	cd/m²	≡ cd/m²	= 1 cd/m²
footlambert	fL	≡ (1/π) cd/ft²	≈ 3.4262590996 cd/m²
lambert	L	≡ (10⁴/π) cd/m²	≈ 3183.0988618 cd/m²
stilb (CGS unit)	sb	≡ 10⁴ cd/m²	= 10⁴ cd/m²

Luminous flux[edit]

Luminous flux
Name of unit	Symbol	Definition	Relation to SI units
lumen (SI unit)	lm	≡ cd·sr	= 1 lm = 1 cd·sr

Illuminance[edit]

Illuminance
Name of unit	Symbol	Definition	Relation to SI units
footcandle; lumen per square foot	fc	≡ lm/ft²	= 10.763910417 lx
lumen per square inch	lm/in²	≡ lm/in²	≈ 1550.0031 lx
lux (SI unit)	lx	≡ lm/m²	= 1 lx = 1 lm/m²
phot (CGS unit)	ph	≡ lm/cm²	= 10⁴ lx

Radiation – source activity[edit]

Radioactivity
Name of unit	Symbol	Definition	Relation to SI units
becquerel (SI unit)	Bq	≡ Number of disintegrations per second	= 1 Bq = 1/s
curie	Ci	≡ 3.7×10¹⁰ Bq^[42]	= 3.7×10¹⁰ Bq
rutherford (H)	rd	≡ 1 MBq	= 10⁶ Bq

Radiation – exposure[edit]

Radiation - exposure
Name of unit	Symbol	Definition	Relation to SI units
roentgen	R	1 R ≡ 2.58×10⁻⁴ C/kg^[36]	= 2.58×10⁻⁴ C/kg

The roentgen is not an SI unit and the NIST strongly discourages its continued use.^[44]

Radiation – absorbed dose[edit]

Radiation - absorbed dose
Name of unit	Symbol	Definition	Relation to SI units
gray (SI unit)	Gy	≡ 1 J/kg = 1 m²/s²^[45]	= 1 Gy
rad	rad	≡ 0.01 Gy^[36]	= 0.01 Gy

Radiation – equivalent dose[edit]

Radiation - equivalent dose
Name of unit	Symbol	Definition	Relation to SI units
Röntgen equivalent man	rem	≡ 0.01 Sv	= 0.01 Sv
sievert (SI unit)	Sv	≡ 1 J/kg^[43]	= 1 Sv

H = Q · D

Notes and references[edit]

^Béla Bodó; Colin Jones (26 June 2013). Introduction to Soil Mechanics. John Wiley & Sons. pp. 9–. ISBN978-1-118-55388-6.
^\'Identity property of multiplication\'. Retrieved 2015-09-09.
^David V. Chadderton (2004). Building Services Engineering. Taylor & Francis. pp. 33–. ISBN978-0-415-31535-7.
^jobs (September 14, 2012). \'The astronomical unit gets fixed : Nature News & Comment\'. Nature.com. doi:10.1038/nature.2012.11416. Retrieved August 31, 2013.
^\'NIST Reference on Constants, Units, and Uncertainty.\'(2010). National Institute of Standards and Technology. Retrieved October 17, 2014.
^ ^a^b^c^d^e\'NIST - National Institute of Standards and Technology\'. NIST.
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿLide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
^ ^a^bNational Bureau of Standards. (June 30, 1959). Refinement of values for the yard and the pound. Federal Register, viewed September 20, 2006 at National Geodetic Survey web site.
^\'International Astronomical Union - IAU\'. www.iau.org.
^Klein, Herbert Arthur.(1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
^ ^a^b^c^d^e^fThe International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on October 1, 2009, retrieved August 26, 2009
^International System of Units,Archived August 21, 2008, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
^Cox, Arthur N., ed. (2000). Allen\'s Astrophysical Quantities (4th ed.). New York: AIP Press / Springer. Bibcode:2000asqu.book...C. ISBN0387987460.
^Binney, James; Tremaine, Scott (2008). Galactic Dynamics (2nd ed.). Princeton, NJ: Princeton University Press. Bibcode:2008gady.book...B. ISBN978-0-691-13026-2.
^P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
^ ^a^b^cWhitelaw, Ian. (2007). A Measure of All Things: The Story of Man and Measurement. New York: Macmillan 0-312-37026-1. p. 152.
^ ^a^bDe Vinne, Theodore Low (1900). The practice of typography: a treatise on the processes of type-making, the point system, the names, sizes, styles and prices of plain printing types 2nd ed. New York: The Century Co. p. 142–150.
^Pasko, Wesley Washington (1894). American dictionary of printing and bookmaking. (1894). New York: Howard Lockwood. p. 521.
^ ^a^b^c^d^e^f^g^hRowlett, Russ (2005), How Many? A Dictionary of Units of Measurement
^Thompson, A. and Taylor, B.N. (2008). Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology Special Publication 811. p. 57.
^ ^a^b^c^d^eUS Code of Federal Regulations, Title 21, Section 101.9, Paragraph (b)(5)(viii), archived from the original on August 13, 2009, retrieved August 29, 2009
^Barry N. Taylor, Ed.,NIST Special Publication 330: The International System of Units (SI) (2001 Edition), Washington: US Government Printing Office, 43,\'The 12th Conference Generale des Poids et Mesures (CGPM)..declares that the word \'litre\' may be employed as a special name for the cubic decimetre\'.
^CODATA Value: atomic unit of mass. (2010). National Institute of Standards and Technology. Retrieved 29 May 2015.
^The Swiss Federal Office for Metrology gives Zentner on a German language web page \'Archived copy\'. Archived from the original on 2006-09-28. Retrieved 2006-10-09.CS1 maint: archived copy as title (link) and quintal on the English translation of that page \'Archived copy\'. Archived from the original on 2001-03-09. Retrieved 2006-10-09.CS1 maint: archived copy as title (link); the unit is marked \'spécifiquement suisse !\'
^ ^a^bPedersen O. (1983). \'Glossary\' in Coyne, G., Hoskin, M., and Pedersen, O. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican Observatory. Available from Astrophysics Data System.
^Richards, E.G. (1998), Mapping Time, Oxford University Press, pp. 94–95, ISBN0-19-850413-6
^Steel, Duncan (2000), Marking Time, John Wiley & Sons, p. 46, ISBN0-471-29827-1
^\'CODATA Value: Planck time\'. physics.nist.gov. Retrieved 2018-06-20.
^ ^a^bRichards, E. G. (2013). \'Calendars\' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books.
^Richards, E. G. (2013). \'Calendars\' in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books. p. 587.
^Tom Benson. (2010.) \'Mach Number\' in Beginner\'s Guide to Aeronautics. NASA.
^CODATA Value: atomic unit of force. (2006). National Institute of Standards and Technology. Retrieved September 14, 2008.
^ ^a^b^c^d^e^f^g^hⁱComité International des Poids et Mesures, Resolution 2, 1946, retrieved August 26, 2009
^ ^a^b^c^d^e^f^g^hⁱ^j^k^l^mⁿ^o^pBarry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, pp. 57–68.
^Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, p. 5.
^ ^a^b^c^d^e^f^gNIST Guide to SI Units, Appendix B.9, retrieved August 27, 2009
^International System of Units,Archived July 16, 2012, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 7.
^The NIST Reference on Constants, Units, and Uncertainty, 2006, retrieved August 26, 2009
^Robert G. Mortimer Physical chemistry,Academic Press, 2000 ISBN0-12-508345-9, page 677
^Standard for the Use of the International System of Units (SI): The Modern Metric System IEEE/ASTM SI 10-1997. (1997). New York and West Conshohocken, PA: Institute of Electrical and Electronics Engineers and American Society for Testing and Materials. Tables A.1 through A.5.
^The NIST Reference on Constants, Units, and Uncertainty, retrieved August 28, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 10.
^ ^a^bThe International System of Units, Section 2.2.2., Table 3 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on June 18, 2007, retrieved August 27, 2009
^The NIST Guide to the SI (Special Publication 811), section 5.2, 2008, retrieved August 27, 2009
^Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 5.
^Comité international des poids et mesures, 2002, Recommendation 2, retrieved August 27, 2009

Notes

^The technical definition of tropical year is the period of time for the ecliptic longitude of the Sun to increase 360 degrees. (Urban & Seidelmann 2013, Glossary, s.v. year, tropical)

External links[edit]

Wikibooks has a book on the topic of: FHSST Physics Units:How to Change Units

Wikivoyage has a travel guide for Metric and Imperial equivalents.

Statutory Instrument 1995 No. 1804Units of measurement regulations 1995 From legislation.gov.uk
\'NIST: Fundamental physical constants — Non-SI units\'(PDF). Archived from the original(PDF) on 2016-12-27. Retrieved 2004-03-15.(35.7 KB)
NIST Guide to SI Units Many conversion factors listed.
Units of Measurement Software at Curlie
Units of Measurement Online Conversion at Curlie

Retrieved from \'https://en.wikipedia.org/w/index.php?title=Conversion_of_units&oldid=916110171\'

...'>How To Factor(10.01.2020)

Latest Articles

Cisco Ccie Verification

Reason 10 Torrent Reddit

How To Add Hydracad To Autocad

Autodesk Fbx 2013.3 Converter

Mx Vs Atv Unleashed Pc Full Version

Computer Basics Pdf In English

Sigmakey Box 2.29.02 Crack

The Guard Of Auschwitz 2018 Subtitles

The Cultura Politics Of Emotion Epud

Whirlpool G2p Ff5?wh

How To Factor

Techniques[edit]

Process overview[edit]

Conversion factors[edit]

Software tools[edit]

Tables of conversion factors[edit]

Length[edit]

Area[edit]

Volume[edit]

Plane angle[edit]

Solid angle[edit]

Mass[edit]

Density[edit]

Time[edit]

Frequency[edit]

Speed or velocity[edit]

Flow (volume)[edit]

Acceleration[edit]

Force[edit]

Pressure or mechanical stress[edit]

Torque or moment of force[edit]

Energy[edit]

Power or heat flow rate[edit]

Action[edit]

Dynamic viscosity[edit]

Kinematic viscosity[edit]

Electric current[edit]

Electric charge[edit]

Electric dipole[edit]

Electromotive force, electric potential difference[edit]

Electrical resistance[edit]

Capacitance[edit]

Magnetic flux[edit]

Magnetic flux density[edit]

Inductance[edit]

Temperature[edit]

Information entropy[edit]

Luminous intensity[edit]

Luminance[edit]

Luminous flux[edit]

Illuminance[edit]

Radiation – source activity[edit]

Radiation – exposure[edit]

Radiation – absorbed dose[edit]

Radiation – equivalent dose[edit]

See also[edit]

Notes and references[edit]

External links[edit]

Popular Posts

Techniques[edit]

Process overview[edit]

Conversion factors[edit]

Software tools[edit]

Tables of conversion factors[edit]

Length[edit]

Area[edit]

Volume[edit]

Plane angle[edit]

Solid angle[edit]

Mass[edit]

Density[edit]

Time[edit]

Frequency[edit]

Speed or velocity[edit]

Flow (volume)[edit]

Acceleration[edit]

Force[edit]

Pressure or mechanical stress[edit]

Torque or moment of force[edit]

Energy[edit]

Power or heat flow rate[edit]

Action[edit]

Dynamic viscosity[edit]

Kinematic viscosity[edit]

Electric current[edit]

Electric charge[edit]

Electric dipole[edit]

Electromotive force, electric potential difference[edit]

Electrical resistance[edit]

Capacitance[edit]