United States customary units
United States customary units are a system of measurements commonly used in the United States. The United States customary system (USCS or USC) developed from English units which were in use in the British Empire before the U.S. became an independent country. However, the United Kingdom's system of measures was overhauled in 1824 to create the imperial system, changing the definitions of some units. Therefore, while many U.S. units are essentially similar to their Imperial counterparts, there are significant differences between the systems.
The majority of U.S. customary units were redefined in terms of the meter and the kilogram with the Mendenhall Order of 1893 and, in practice, for many years before. These definitions were refined by the international yard and pound agreement of 1959. Americans primarily use customary units in commercial activities, as well as for personal and social use. In science, medicine, many sectors of industry and some of government and military, metric units are used. The International System of Units (SI), the modern form of the metric system, is preferred for many uses by the U.S. National Institute of Standards and Technology (NIST). For newer units of measure where there is no traditional customary unit, international units are used, sometimes mixed with customary units, such as electrical resistance of wire expressed in ohms (SI) per thousand feet.
The United States system of units is similar to the British imperial system. Both systems are derived from English units, a system which had evolved over the millennia before American independence, and which had its roots in Roman and Anglo-Saxon units.
The customary system was championed by the U.S.-based International Institute for Preserving and Perfecting Weights and Measures in the late 19th century. Advocates of the customary system saw the French Revolutionary, or metric, system as atheistic. An auxiliary of the Institute in Ohio published a poem with wording such as "down with every 'metric' scheme" and "A perfect inch, a perfect pint". One adherent of the customary system called it "a just weight and a just measure, which alone are acceptable to the Lord".
The U.S. government passed the Metric Conversion Act of 1975, which made the metric system "the preferred system of weights and measures for U.S. trade and commerce". The legislation states that the federal government has a responsibility to assist industry as it voluntarily converts to the metric system, i.e., metrification. This is most evident in U.S. labeling requirements on food products, where SI units are almost always presented alongside customary units. According to the CIA Factbook, the United States is one of three nations (along with Liberia and Burma) that have not adopted the metric system as their official system of weights and measures.
U.S. customary units are widely used on consumer products and in industrial manufacturing. Metric units are standard in science, medicine, as well as many sectors of industry and government, including the military. There are anecdotal objections to the use of metric units in carpentry and the building trades, on the basis that it is easier to remember an integer number of inches plus a fraction than a measurement in millimeters, or that foot-inch measurements are more suitable when distances are frequently divided into halves, thirds and quarters, often in parallel. The metric system also lacks a parallel to the foot.
Units of length
|Most common measures shown in italics |
Exact relationships shown in boldface
|1 point (p)||127/ mm or μm352.778|
|1 pica (P̸)||12 p||127/ mm or mm4.233|
|1 inch (in or ″)||6 P̸||25.4 mm|
|1 foot (ft or ′)||12 in||m0.3048|
|1 yard (yd)||3 ft||m0.9144|
|1 mile (mi)||ft or 5280 yd1760||344 km1.609|
|1 link (li)||33/ ft or 7.92 in||792/ m or cm20.117|
|1 (survey) foot (ft)||1200/ m or cm30.480|
|1 rod (rd)||25 li or 16.5 ft||19,800/ m or m5.029|
|1 chain (ch)||4 rd or 66 ft||79,200/ m or m20.116|
|1 furlong (fur)||10 ch||792/ km or m201.168|
|1 survey (or statute) mile (mi)||8 fur||6336/ km or 347 km1.609|
|1 league (lea)||3 mi||19,008/ km or km4.828|
|1 fathom (ftm)||2 yd||m1.8288|
|1 cable (cb)||120 ftm or 1.091 fur||m219.456|
|1 nautical mile (NM or nmi)||8.439 cb or 1.151 mi||1.852 km|
For measuring length, the U.S. customary system uses the inch, foot, yard, and mile, which are the only four customary length measurements in everyday use. Since July 1, 1959, these have been defined on the basis of 1 yard = 0.9144 meters except for some applications in surveying. The U.S., the United Kingdom and other Commonwealth countries agreed on this definition, and so it is often termed international measure.
When international measure was introduced in the English-speaking countries, the basic geodetic datum in North America was the North American Datum of 1927 (NAD27), which had been constructed by triangulation based on the definition of the foot in the Mendenhall Order of 1893, that is 1 foot = 1200/ meters: this definition was retained for data derived from NAD27, but renamed the US survey foot to distinguish it from the international foot. For most applications, the difference between the two definitions is insignificant – one international foot is exactly 0.999998 of a US survey foot, for a difference of about 1/ inch (3 mm) per mile – but it affects the definition of the State Plane Coordinate Systems (SPCSs), which can stretch over hundreds of miles.
The NAD27 was replaced in the 1980s by the North American Datum of 1983 (NAD83), which is defined in meters. The SPCSs were also updated, but the National Geodetic Survey left the decision of which (if any) definition of the foot to use to the individual states. All SPCSs are defined in meters, but seven states also have SPCSs defined in US survey feet and an eighth state in international feet: the other 42 states use only meter-based SPCSs.
State legislation is also important for determining the conversion factor to be used for everyday land surveying and real estate transactions, although the difference (2 ppm) is of no practical significance given the precision of normal surveying measurements over short distances (usually much less than a mile). Twenty-four states have legislated that surveying measures should be based on the US survey foot, eight have legislated that they be made on the basis of the international foot, and eighteen have not specified the conversion factor from metric units.
Units of area
|Exact relationships shown in boldface|
|1 square survey foot (sq ft or ft2)||144 square inches||903410.092 m2|
|1 square chain (sq ch or ch2)||sq ft (survey) or 16 sq rods 4356||m2404.6873|
|1 acre||560 sq ft (survey) or 10 sq ch 43||046.873 m24|
|1 section||640 acres or 1 sq mile (survey)||998 km22.589|
|1 survey township (twp)||36 sections or 4 sq leagues||93 km293.239|
The most widely used area unit with a name unrelated to any length unit is the acre. The National Institute of Standards and Technology contends that customary area units are defined in terms of the square survey foot, not the square international foot. Conversion factors are based on Astin (July 27, 1968) and National Institute of Standards and Technology (2008).
Units of capacity and volume
|Volume in general|
|1 cubic inch (cu in) or (in3)||064 mL16.387|
|1 cubic foot (cu ft) or (ft3)||cu in1728||846592 L28.316|
|1 cubic yard (cu yd) or (yd3)||27 cu ft||857984 L764.554|
|1 acre-foot (acre ft)||560 cu ft43|
613.333 cu yd1
The cubic inch, cubic foot and cubic yard are commonly used for measuring volume. In addition, there is one group of units for measuring volumes of liquids, and one for measuring volumes of dry material.
Other than the cubic inch, cubic foot and cubic yard, these units are differently sized from the units in the imperial system, although the names of the units are similar. Also, while the U.S. has separate systems for measuring the volumes of liquids and dry material, the imperial system has one set of units for both.
|Most common measures shown in italic font|
Exact conversions in bold font
|1 minim (min)||~1 drop or 0.95 grain of water||519921875 μL61.611|
|1 US fluid dram (fl dr)||60 min||6911953125 mL3.696|
|1 teaspoon (tsp)||80 min||92159375 mL4.928|
|1 tablespoon (Tbsp)||3 tsp or 4 fl dr||76478125 mL14.786|
|1 US fluid ounce (fl oz)||2 Tbsp or 1.0408 oz av of water||5295625 mL29.573|
|1 US shot (jig)||1.5 fl oz or 3 Tbsp||29434375 mL44.360|
|1 US gill (gi)||22⁄3 jig or 4 fl oz||11825 mL118.294|
|1 US cup (cp)||2 gi or 8 fl oz||2365 mL236.588|
|1 (liquid) US pint (pt)||2 cp or 16.65 oz av of water||473 mL473.176|
|1 (liquid) US quart (qt)||2 pt||352946 L0.946|
|1 (liquid) US gallon (gal)||4 qt or 231 cu in||411784 L3.785|
|1 (liquid) barrel (bbl)||31.5 gal or 1⁄2 hogshead||471196 L119.240|
|1 oil barrel (bbl)||11⁄3 (liquid) barrel or 42 gal or 2⁄3 hogshead||294928 L158.987|
|1 hogshead||1.5 oil barrels or 63 gal or 875 cu ft8.421|
or 524.7 lb of water
One US fluid ounce is 1⁄16 of a US pint, 1⁄32 of a US quart, and 1⁄128 of a US gallon. The teaspoon, tablespoon, and cup are defined in terms of a fluid ounce as 1⁄6, 1⁄2, and 8 fluid ounces. The fluid ounce derives its name originally from being the volume of one ounce avoirdupois of water, but in the US it is defined as 1⁄128 of a US gallon. Consequently, a fluid ounce of water weighs about 1.041 ounces avoirdupois.
The saying "a pint's a pound the world around" refers to 16 US fluid ounces of water weighing approximately (about 4% more than) one pound avoirdupois. An imperial pint of water weighs a pound and a quarter (20 oz).
There are varying standards for barrel for some specific commodities, including 31 gal for beer, 40 gal for whiskey or kerosene, and 42 gal for petroleum. The general standard for liquids is 31.5 gal or half a hogshead. The common 55 gallon size of drum for storing and transporting various products and wastes is sometimes confused with a barrel, though it is not a standard measure.
In the U.S., single servings of beverages are usually measured in fluid ounces. Milk is usually sold in half pints (8 fluid ounces), pints, quarts, half gallons, and gallons. Water volume for sinks, bathtubs, ponds, swimming pools, etc., is usually stated in gallons or cubic feet. Quantities of gases are usually given in cubic feet (at one atmosphere).
Minims, drams and gill are rarely used currently. The gill is often referred to as a "half-cup".
|1 (dry) pint (pt)||3125 cu in33.600||6104713575 L0.550|
|1 (dry) quart (qt)||2 pt||221 L1.101|
|1 (dry) gallon (gal)||4 qt||884 L4.404|
|1 peck (pk)||2 gal||768 L8.809|
|1 bushel (bu)||4 pk||07016688 L35.239|
|1 (dry) barrel (bbl)||cu in or 7056 bu3.281||L115.6271|
Dry volume is measured on a separate system, although many of the names remain the same. Small fruits and vegetables are often sold in dry pints and dry quarts. The US dry gallon is less commonly used, and was not included in the handbook that many states recognize as the authority on measurement law. However pecks, or bushels are sometimes used—particularly for grapes, apples and similar fruits in agricultural regions.
Units of weight and mass
|Avoirdupois||1 grain (gr)||1⁄7000 lb||91 mg64.798|
|1 dram (dr)||27 11⁄32 gr or 8.859 carats||8451953125 g1.771|
|1 ounce (oz)||16 dr||523125 g28.349|
|1 pound (lb)||16 oz||37 g453.592|
|1 US hundredweight (cwt)||100 lb||237 kg45.359|
|1 long hundredweight||112 lb||34544 kg50.802|
|1 ton (short ton)||20 US cwt or 2000 lb||74 kg907.184|
|1 long ton||20 long cwt or 2240 lb||016.0469088 kg1|
|Troy||1 grain (gr)||1⁄7000 lb or 1⁄5760 lb t||91 mg64.798|
|1 pennyweight (dwt)||24 gr or 7.776 carats||17384 g1.555|
|1 troy ounce (oz t)||20 dwt||4768 g31.103|
|1 troy pound (lb t)||12 oz t or 13.17 oz||7216 g373.241|
|Most common measures shown in italics|
Exact conversions shown in bold
There have historically been five different English systems of mass: tower, apothecaries', troy, avoirdupois, and metric. Of these, the avoirdupois weight is the most common system used in the U.S., although Troy weight is still used to weigh precious metals. Apothecaries weight—once used by pharmacies—has been largely replaced by metric measurements. Tower weight fell out of use in England (due to legal prohibition in 1527) centuries ago, and was never used in the U.S. The imperial system, which is still used for some measures in the United Kingdom and other Commonwealth countries, is based on avoirdupois, with variations from U.S. customary units larger than a pound.
The pound avoirdupois, which forms the basis of the U.S. customary system of mass, is defined as exactly 37 grams by agreement between the U.S., the United Kingdom, and other English-speaking countries in 1959. Other units of mass are defined in terms of it. 453.592
The avoirdupois pound is legally defined as a measure of mass, but the name pound is also applied to measures of force. For instance, in many contexts, the pound avoirdupois is used as a unit of mass, but in some contexts, the term "pound" is used to refer to "pound-force". The slug is another unit of mass derived from pound-force.
Troy weight, avoirdupois weight, and apothecaries' weight are all built from the same basic unit, the grain, which is the same in all three systems. However, while each system has some overlap in the names of their units of measure (all have ounces and pounds), the relationship between the grain and these other units within each system varies. For example, in apothecary and troy weight, the pound and ounce are the same, but are different from the pound and ounce in avoirdupois in terms of their relationships to grains and to each other. The systems also have different units between the grain and ounce (apothecaries' has scruple and dram, troy has pennyweight, and avoirdupois has just dram, sometimes spelled drachm). The dram in avoirdupois weighs just under half of the dram in apothecaries'. The fluid dram unit of volume is based on the weight of 1 dram of water in the apothecaries' system.
To alleviate confusion, it is typical when publishing non-avoirdupois weights to mention the name of the system along with the unit. Precious metals, for example, are often weighed in "troy ounces", because just "ounce" would be more likely to be assumed to mean an avoirdupois ounce.
For the pound and smaller units, the U.S. customary system and the British imperial system are identical. However, they differ when dealing with units larger than the pound. The definition of the pound avoirdupois in the imperial system is identical to that in the U.S. customary system.
In the U.S., only the ounce, pound and short ton – known in the country simply as the ton – are commonly used, though the hundredweight is still used in agriculture and shipping. The grain is used to describe the mass of propellant and projectiles in small arms ammunition. It was also used to measure medicine and other very small masses.
In agricultural practice, a bushel is a fixed volume of 2150.42 cubic inches. The mass of grain will therefore vary according to density. Some nominal weight examples are:
- 1 bushel (corn) = 56 lb = 25.4012 kg
- 1 bushel (wheat) = 60 lb = 27.2155 kg
- 1 bushel (barley) = 48 lb = 21.7724 kg
In trade terms a bushel is a term used to refer to these nominal weights, although even this varies. With oats, Canada uses 34 lb bushels and the US uses 32 lb bushels.
|Teaspoon||5 mL||5 mL||4.74 mL||4.93 mL||5 mL|
|Dessertspoon||10 mL||—||9.47 mL||—||—|
|Tablespoon||20 mL||15 mL||14.21 mL||14.79 mL||15 mL|
|Fluid ounce||—||—||28.41 mL||29.57 mL||30 mL|
|Cup||250 mL||250 mL||284.13 mL||236.59 mL||240 mL|
|Pint||—||—||568.26 mL||473.18 mL||—|
|Quart||—||—||1136.52 mL||946.35 mL||—|
|Gallon||—||—||4546.09 mL||3785.41 mL||—|
The most common practical cooking measures for both liquid and dry ingredients in the U.S. (and many other countries) are the teaspoon, tablespoon, and cup, along with halves, thirds, quarters, and eighths of these. Pounds, ounces, fluid ounces, and common sizes are also used, such as can (presumed size varies depending on product), jar, square (e.g., 1 oz of chocolate), stick (e.g., 4 oz butter), or fruit/vegetable (e.g., a half lemon, two medium onions).
Units of temperature
Degrees Fahrenheit are used in the U.S. to measure temperatures in most non-scientific contexts. The Rankine scale of absolute temperature also saw some use in thermodynamics. Scientists worldwide use the kelvin and degree Celsius. Several U.S. technical standards are expressed in Fahrenheit temperatures and American medical practitioners often use degrees Fahrenheit for body temperature.
The relationship between the different temperature scales is linear but the scales have different zero points, so conversion is not simply multiplication by a factor. Pure water freezes at 32 °F = 0 °C and boils at 212 °F = 100 °C at 1 atm. The conversion formula is:
or inversely as .
- 1 board-foot = 1 ft × 1 ft × 1 in = dm32.360
- 1 British thermal unit (Btu) ≈ 1055 J
- 1 ton of refrigeration (12,000 Btu/h) = 3.517 kW
- 1 calorie (cal) = 4.184 J
- 1 food calorie (kilocalorie, large calorie) (kcal, Cal) = 4.184 kJ
- 1 foot-pound (energy) ≈ 1.356 J
- 1 hand = 4 in = 10.16 cm
- 1 horsepower ≈ 745.7 W
- 1 R-value (ft2⋅°F⋅h/Btu) ≈ 0.1761 RSI (K⋅m2/W)
- 1 slug = 1 lbf⋅s2/ft
- 1 U (rack unit) = 1.75 in = 44.45 mm
- Various combination units are in common use, including the foot-pound (ft⋅lbf), the acre-foot, and the pound per square inch (psi); these are straightforwardly defined based on the above basic units.
Sizing systems are used for various items in commerce, several of which are U.S.-specific:
- US standard clothing size
- American wire gauge is used for most metal wire.
- Scoop (utensil) sizes, numbered by scoops per quart
- Thickness of leather is measured in ounces, 1 oz equals 1/64 inch (0.4 mm).
- Bolts and screws follow the Unified Thread Standard rather than the ISO metric screw thread standard.
- Knitting needles in the United States are measured according to a non-linear unitless numerical system.
- Aluminium foil is measured in mils (1/1000th of an inch, or 0.0254 mm) in the United States.
- Cross-sectional area of electrical wire is measured in Circular mils in the U.S. and Canada, one circular mil (cmil) being equal to ×10−4 mm2 (or 5.067×10−7 in2). Since this is so small, actual wire is commonly measured in thousands of a cmil, called either kcmil or MCM. 7.854
- The mil or thou is also sometimes used to mean thousandth of an inch.
- Sheet metal in the U.S. is commonly measured in gauge (not to be confused with the American wire gauge), which is derived from weight and thus differs by material.
- Nominal Pipe Size is used for the outside diameter of pipes. Below NPS14, the NPS number is not consistent with the pipe diameter in inches.
- Copper tubing, however, is measured in nominal size, 1/8 inch less than the outside diameter.
- The Schedule system is used for standard pipe thicknesses.
- Alcohol content is frequently given in proof.
- The cord is used for volume of firewood.
- The square is used to mean 100 square feet in construction.
- Heat flux in the U.S. is measured in Langleys.
Other names for U.S. customary units
Other common ways of referring to the system in the U.S. are: "Standard", "Customary", or, erroneously: "Imperial", or "English" (which refers to the post-1824 reform measures used throughout the British Empire). Another term is the foot–pound–second (FPS) system, as opposed to centimeter–gram–second (CGS) and meter–kilogram–second (MKS) systems.
Tools and fasteners with sizes measured in inches are sometimes called "SAE bolts" or "SAE wrenches" to differentiate them from their metric counterparts. The Society of Automotive Engineers (SAE) originally developed fasteners standards using U.S. units for the U.S. auto industry; the organization now uses metric units.
- T.C. Mendenhall, Superintendent of Standard Weights and Measures. Order of April 5, 1893 Archived September 30, 2012, at the Wayback Machine., published as Appendix 6 to the Report for 1893 of the Coast and Geodetic Survey.
- Astin, A.V., Karo, H.A. and Mueller, F.H. (June 25, 1959). Doc 59-5442, "Refinement of Values for the Yard and the Pound." Federal Register. When reading the document note that 999,998 = 3937 × 254.
- Laws and Metric Program. U.S. National Institute of Standards and Technology, 2010
- "English units of measurement". The Columbia Encyclopedia 6th ed. 2001-2007. archived copy.
- Martin Gardner (4 May 2012). Fads and Fallacies in the Name of Science. Courier Corporation. pp. 180–. ISBN 978-0-486-13162-7.
- "Appendix G - Weights and Measures". The World Factbook. Washington, D.C.: Central Intelligence Agency. Retrieved August 28, 2012.
- Robyn Williams (February 8, 1998) "Trouble with the Metric System". Australian Radio National, Ockham's Razor.
- Ed Tenner, (May 2005). "The Trouble with the Meter" Technologyreview.com
- Roberts, R.W. (February 3, 1975). Federal Register republished in Barbrow, L.E. and Judson, L. V. (1976) Weights and Measures of the United States. National Bureau of Standards Special Publication 447. p. 36
- "Frequently Asked Questions about the National Geodetic Survey". National Geodetic Survey. Retrieved May 16, 2009.
- Astin, A. V. (July 27, 1968). Federal Register Archived 2006-10-05 at the Wayback Machine.. Republished in Barbrow, L.E and Judson, L.V. Weights and Measures of the United States: A Brief History. National Bureau of Standards Special Publication 447. pp. 34–35.
- National Institute of Standards and Technology. (2008). Guide for the Use of the International System of Units (SI).
- The recommended symbol for the liter in the United States is 'L' per National Institute of Standards and Technology. (1995.) Guide for the Use of the International System of Units (SI). Special Publication 811.
- 101st Conference on Weights and Measures 2016. (2017). Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices. National Institute of Standards and Technology. p. C-6, C-11, C-16.
- Summary of State Laws and Regulations in Weights and Measures Archived December 5, 2011, at the Wayback Machine.. (2005) National Institute of Standards and Technology.
- NIST Handbook 44, Appendix C, General Tables of Units of Measurement, page C-6 Avoirdupois Units of Mass Archived 2011-10-18 at the Wayback Machine.
- "Title 21, 101.9 Nutrition labeling of food" (PDF). Code of Federal Regulations. US Government Printing Office. 2012-04-12. Retrieved 2014-11-02.
For nutrition labeling purposes, a teaspoon means 5 milliliters (mL), a tablespoon means 15 mL, a cup means 240 mL, 1 fl oz means 30 mL, and 1 oz in weight means 28 g.
- Wells, Larry J. (1981). Makin' Leather: A Manual of Primitive and Modern Leather Skills. Cedar Fort. p. 13. ISBN 0882908359.
- 15 U.S.C. § 205b
- "Rules for SAE Use of SI (Metric) Units" (PDF). Society of Automotive Engineers, Inc. May 1999. Retrieved July 2012. Check date values in:
- Rowlett's A Dictionary of Units of Measurement