United States customary units explained

United States customary units should not be confused with Imperial units.

United States customary units form a system of measurement units commonly used in the United States and most U.S. territories,[1] since being standardized and adopted in 1832.[2] The United States customary system developed from English units that were in use in the British Empire before the U.S. became an independent country. The United Kingdom's system of measures was overhauled in 1824 to create the imperial system (with imperial units), which was officially adopted in 1826, changing the definitions of some of its units. Consequently, while many U.S. units are essentially similar to their imperial counterparts, there are noticeable differences between the systems.

The majority of U.S. customary units were redefined in terms of the meter and kilogram with the Mendenhall Order of 1893 and, in practice, for many years before.[3] These definitions were refined by the international yard and pound agreement of 1959.[4]

The United States uses customary units in commercial activities, as well as for personal and social use. In science, medicine, many sectors of industry, and some government and military areas, 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).[5] For newer types of measurement where there is no traditional customary unit, international units are used, sometimes mixed with customary units: for example, electrical resistance of wire expressed in ohms (SI) per thousand feet.

History

See also: Imperial and US customary measurement systems and Comparison of the imperial and US customary measurement systems.

The United States system of units of 1832 is based on the system in use in Britain prior to the introduction to the British imperial system on January 1, 1826.[6] Both systems are derived from English units, a system which had evolved over the millennia before American independence, and which had its roots in both 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. Some advocates of the customary system saw the French Revolutionary, or metric, system as atheistic. The president of an Ohio auxiliary of the Institute wrote that the traditional units were "a just weight and a just measure, which alone are acceptable to the Lord". His organization later went so far as to publish music for a song proclaiming "down with every 'metric' scheme".[7]

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 World Factbook, the United States is one of three nations (along with Liberia and Myanmar (Burma)) that have not adopted the metric system as their official system of weights and measures.[8]

Executive Order 12770, signed by President George H. W. Bush on July 25, 1991, citing the Metric Conversion Act, directed departments and agencies within the executive branch of the United States Government to "take all appropriate measures within their authority" to use the metric system "as the preferred system of weights and measures for United States trade and commerce" and authorized the Secretary of Commerce "to charter an Interagency Council on Metric Policy ('ICMP'), which will assist the Secretary in coordinating Federal Government-wide implementation of this order."

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.[8] 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,[9] 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 measurement to the foot.[10]

The term "United States customary units" was used by the former United States National Bureau of Standards,[11] although "English units" is sometimes used in colloquial speech.[12]

Length

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. From 1893, the foot was legally defined as exactly (approximately). Since July 1, 1959, the units of length have been defined on the basis of = . The U.S., the United Kingdom and other Commonwealth countries agreed on this definition per the International Yard and Pound Agreement of 1958. At the time of the agreement, 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 = : 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 of a US survey foot, for a difference of about per mile – but it affects the definition of the State Plane Coordinate Systems (SPCSs), which can stretch over hundreds of miles.[13]

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 U.S. National Geodetic Survey left the decision of which (if any) definition of the foot to use to the individual states (and other jurisdictions). All SPCS 1983 systems are defined in meters, but forty jurisdictions also use the survey foot, six use the international foot, and ten do not specify which, if any, foot type should be used.[14]

In 2019, the NIST, working with the National Geodetic Survey (NGS), National Ocean Service (NOS), National Oceanic and Atmospheric Administration (NOAA) and Department of Commerce (DOC), issued a Federal Register Notice (FRN) indicating the deprecation of the U.S. survey foot and U.S. survey mile units from December 31, 2022.

In the following tables in this and subsequent sections, the most common measures are shown in italics, and approximate values are shown in parentheses; values not in parentheses are exact.

International units

List of international units! Unit !! Name !! Divisions !! SI equivalent
twip
point
pica
inch
foot
yard
mile
league

International nautical units

List of international nautical units! Unit !! Name !! Divisions !! SI equivalent
fathom
cable
nautical mile

US survey units

Note that as announced by the National Institute of Standards and Technology, the US survey foot, and other units defined in terms of it, have been deprecated since 2023, "except for historic and legacy applications".[15] [16] [17]

Unit !! rowspan=2
Name!DivisionsSI equivalent
Before 2023 From 2023
link
U.S. survey foot (deprecated since 2023)
chain
furlong
(international mile)
league

Area

Unit !! rowspan=2
Name !Divisions SI equivalent
Before 2023 From 2023
square survey foot
acre
section

The most widely used area unit with a name unrelated to any length unit is the acre. The National Institute of Standards and Technology formerly contended that customary area units are defined in terms of the square survey foot, not the square international foot, but from 2023 it states that "although historically defined using the U.S. survey foot, the statute mile can be defined using either definition of the foot, as is the case for all other units listed in this table. However, use of definitions based on the U.S. survey foot should be avoided after December 31, 2022 except for historic and legacy applications."[17]

Volume

Unit! scope=col
Namescope=col Divisionsscope=col SI equivalent
cubic inch[18]
cubic foot
cubic yard
acre-foot

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 (based on the wine gallon and subdivisions of the fluid ounce), and one for measuring volumes of dry material, each with their own names and sub-units.

Although the units and their names are similar to the units in the imperial system, and many units are shared between the two systems as a whole; with respect to volume, however, this is quite the contrary. The independence of the U.S. from the British Empire decades prior to the reformation of units in 1824—most notably the gallon, its subdivisions, and (in mass) higher combinations above the pound—is the cause of the differences in values.

As a non-participant in that reform, the U.S. retained the separate systems for measuring the volumes of liquids and dry material, whereas the imperial system had unified the units for both under a new imperial gallon. The U.S. uses the pre-1824 gallon (231in3) and Winchester bushel (2150.42in3), as opposed to British 1824 definition of of water and the bushel as .

Fluid volume

Unit! scope=col
Namescope=col Divisionsscope=col Metric equivalent
minim
teaspoon
tablespoon
US fluid ounce
US cup
US pint (liquid)
US quart (liquid)
US pottle (liquid)
US gallon (liquid)
barrel (liquid)
oil barrel

One US fluid ounce is of a US pint, of a US quart, and of a US gallon. The teaspoon, tablespoon, and cup are defined in terms of a fluid ounce as,, and 8 fluid ounces respectively. 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 of a US gallon. Consequently, a fluid ounce of water weighs about 1.041 ounces avoirdupois.

For nutritional labeling and medicine in the US, the teaspoon and tablespoon are defined as a metric teaspoon and tablespoonprecisely and respectively.[19]

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 .

There are varying standards for barrel for some specific commodities, including 31 gallons for beer, 40 gallons for whiskey or kerosene, and 42 gallons 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, gill, and pottle are rarely used currently. The gill is often referred to as a "half-cup". The pottle is often referred to as a "half-gallon".

Dry volume

Unit! scope=col
Namescope=col Divisionsscope=col Metric equivalent
pint (dry)
quart (dry)
gallon (dry)
barrel (dry)

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.[20] [21] However pecks, or bushels are sometimes used—particularly for grapes, apples and similar fruits in agricultural regions.

Mass and weight

See main article: Pound (force) and Pound (mass).

Conversions! Type !! Unit !! Name !! Divisions !! SI equivalent
Avoirdupois
ounce
pound
US (short) hundredweight
long hundredweight
short ton
Troy

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 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 1lb 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.

The avoirdupois pound is legally defined as a measure of mass,[22] 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.

Grain measures

In agricultural practice, a bushel is a fixed volume of 2150.42abbr=offNaNabbr=off. The mass of grain will therefore vary according to density. Some nominal weight examples are:[23] [24]

Cooking measures

See main article: Cooking weights and measures.

US FDA[25]
align=left
align=left
align=left
align=left
align=left
align=left
align=left
align=left

The most common practical cooking measures for both liquid and dry ingredients in the U.S. are teaspoon, tablespoon, and cup, along with halves, thirds, quarters, and eighths of each. Units used are pounds, ounces, and fluid ounces. Common sizes are also used, such as can (presumed size varies depending on product), jar, square (e.g. of chocolate), stick (e.g. of butter), or portion of fruit or vegetable (e.g. a half lemon, two medium onions).[26]

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 some American medical practitioners 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 and boils at at 1 atm. The conversion formula is:\_\mathrm = \tfrac \_\mathrm + 32

or inversely as\_\mathrm = \tfrac\bigl(\_\mathrm - 32\bigr).

Other units

Length

Volume

Mass

Force

Energy

Power

Pressure

Torque

Insulation

Various combination units are in common use; 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:

Other names for U.S. customary units

The United States Code refers to these units as "traditional systems of weights and measures".

Other common ways of referring to the system are: customary, standard, English, or imperial (which refers to the post-1824 reform measures used throughout the British Empire & Commonwealth countries).[28] 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.[29]

See also

External links

Notes and References

  1. Web site: US leaves the world puzzled by dragging its feet on metric system . December 26, 2015 . January 28, 2023 . The Nation Thailand.
  2. Barbrow, L.E. and Judson, L. V. (1976) Weights and Measures of the United States. National Bureau of Standards Special Publication 447. p. 5 - 6
  3. [Thomas Corwin Mendenhall|T.C. Mendenhall]
  4. 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. Note that 999,998 = 3937 × 254.
  5. https://www.nist.gov/pml/wmd/metric/index.cfm Laws and Metric Program
  6. "English units of measurement". The Columbia Encyclopedia 6th ed. 2001-2007. archived copy.
  7. Book: Martin Gardner . Fads and Fallacies in the Name of Science . May 4, 2012 . Courier Corporation . 978-0-486-13162-7 . 180–.
  8. Book: https://www.cia.gov/the-world-factbook/references/weights-and-measures/ . The World Factbook . . Washington, D.C. . References - Weights and Measures . April 22, 2021.
  9. Robyn Williams (February 8, 1998) "Trouble with the Metric System". Australian Radio National, Ockham's Razor.
  10. Ed Tenner, (May 2005). "The Trouble with the Meter". Technologyreview.com.
  11. Book: . 1960 . Units of Weight and Measure (United States Customary and Metric. }
  12. . Policy for NBS usage of SI Units . 18 . January 1971 . Technical News Bulletin . 55 . 1 . Washington DC . United States National Bureau of Standards .
  13. Web site: Frequently Asked Questions about the National Geodetic Survey. May 16, 2009. National Geodetic Survey.
  14. Web site: State Plane Coordinate System of 1983: legislation and foot version. n.d.. February 25, 2024.
  15. Web site: Deprecation of the United States (U.S.) Survey Foot . October 19, 2023 . . October 5, 2020.
  16. Web site: U.S. Survey Foot. NIST. March 29, 2023. c. 2022.
  17. Web site: U.S. Survey Foot: Revised Unit Conversion Factors. NIST. December 14, 2023. September 23, 2019. . Updated January 4, 2023.
  18. 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.
  19. 21CFR101.9(b)(5)(viii) 2 1CFR101.9
  20. 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.
  21. http://ts.nist.gov/WeightsAndMeasures/upload/stlaw.pdf Summary of State Laws and Regulations in Weights and Measures
  22. http://ts.nist.gov/WeightsAndMeasures/Publications/upload/AppendC-09-HB44-FINAL.pdf NIST Handbook 44, Appendix C, General Tables of Units of Measurement, page C-6 Avoirdupois Units of Mass
  23. Web site: United States Department of Agriculture. August 20, 2019. United States Department of Agriculture. May 28, 2020.
  24. Web site: Weights and Measures of agricultural commodities. United States Department of Agriculture-National Agricultural Statistics Service. May 28, 2020.
  25. Web site: Title 21, 101.9 Nutrition labeling of food . Code of Federal Regulations . . April 12, 2012 . November 2, 2014 . 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..
  26. Graham . Eunice . Common Measurements with Factor Labeling . en.
  27. Book: Wells. Larry J.. Makin' Leather: A Manual of Primitive and Modern Leather Skills. 1981. Cedar Fort. 0882908359. 13.
  28. Web site: Kelechava. Brad. US Customary System: An Origin Story. The ANSI Blog. February 25, 2024. June 18, 2018.
  29. Web site: Rules for SAE Use of SI (Metric) Units . May 1999 . Society of Automotive Engineers, Inc . July 1, 2012.