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United States customary units

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Countries using themetric(SI),imperial,and US customary systems as of 2019

United States customary unitsform a system ofmeasurement unitscommonly used in theUnited Statesand mostU.S. territories,[1]since being standardized and adopted in 1832.[2]TheUnited States customary systemdeveloped fromEnglish unitsthat were in use in theBritish Empirebefore the U.S. became an independent country. The United Kingdom's system of measures was overhauled in 1824 to create the imperial system (withimperial 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 noticeabledifferences between the systems.

The majority of U.S. customary units were redefined in terms of themeterandkilogramwith theMendenhall Orderof 1893 and, in practice, for many years before.[3]These definitions were refined by theinternational yard and poundagreement 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. TheInternational System of Units(SI), the modern form of themetric 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 resistanceof wire expressed inohms(SI) per thousand feet.

History

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The United States system of units of 1832 is based on the system in use in Britain prior to the introduction to the Britishimperial systemon January 1, 1826.[6]Both systems are derived fromEnglish units,a system which had evolved over the millennia beforeAmerican independence,and which had its roots in bothRomanandAnglo-Saxonunits.

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 theMetric Conversion Actof 1975, which made themetric 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 itvoluntarilyconverts 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 theCIA World Factbook,the United States is one of three nations (along withLiberiaandMyanmar (Burma)) that have not adopted the metric system as their official system of weights and measures.[8]

Executive Order 12770,signed by PresidentGeorge H. W. Bushon July 25, 1991, citing the Metric Conversion Act, directed departments and agencies within theexecutive branchof theUnited States Governmentto "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 theSecretary 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 themilitary.[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 thefoot.[10]

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

Length

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For measuring length, the U.S. customary system uses theinch,foot,yard,andmile,which are the only four customary length measurements in everyday use. From 1893, the foot was legally defined as exactly12003937m(approximately0.3048006m).[13]Since July 1, 1959, the units of length have been defined on the basis of1yd=0.9144 m.[4]The U.S., theUnited Kingdomand otherCommonwealthcountries agreed on this definition per theInternational Yard and Pound Agreementof 1958. At the time of the agreement, the basicgeodetic datumin North America was theNorth American Datumof 1927 (NAD27), which had been constructed bytriangulationbased on the definition of the foot in theMendenhall Orderof 1893, that is1ft=12003937m:this definition was retained for data derived from NAD27, but renamed theUS survey footto distinguish it from the international foot.[4]For most applications, the difference between the two definitions is insignificant – one international foot is exactly0.999998of a US survey foot, for a difference of about18in (3 mm) per mile – but it affects the definition of theState Plane Coordinate Systems(SPCSs), which can stretch over hundreds of miles.[14]

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 theU.S. National Geodetic Surveyleft 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.[15]

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.[16]

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

International units

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List of international units
Unit Name Divisions SI equivalent
1twip twip
  • 120p
  • 11440in
(17.6388888μm)
1mil 11000in 25.4 μm
1 p point 172in
1 P pica 12 p
inch 6 P 25.4mm
foot 12in 0.3048m[17]
1yd yard 3ft 0.9144m
1mi mile
1.609344km
1le league
4.828032km

International nautical units

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List of international nautical units[17]
Unit Name Divisions SI equivalent
1ftm fathom
  • 1143625m
  • 1.8288m
1cb cable
  • 342915625km
  • 0.219456km
nautical mile

US survey units

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Note that as announced by theNational 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".[16][13][18]

List of US Survey units
Unit Name Divisions SI equivalent
Before 2023 From 2023
1li link
  • 7923937m
  • (0.20117m)
0.201168m
1 ft U.S. survey foot(deprecated since 2023)
  • 12003937m[17]
  • (0.3048006m)
1rd
  • rod
  • "pole"
  • "perch"
  • 19,8003937m
  • (5.029m)
5.0292m
1ch chain
  • 79,2003937m
  • 20.117m
20.1168m
1fur furlong 10ch
  • 7923937km
  • (201.168m)
201.168m
1mi
8fur
1.609344km(international mile)
1lea league 3mi
4.828032km

Area

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List of US units of area
Unit Name Divisions SI equivalent
Before 2023 From 2023
square surveyfoot 144in2 (0.09290341m2)
  • 1 sq ch
  • 1 ch2
squarechain
  • 4356 sq ft (survey)
  • 16 sq rod
(404.6873 m2) 404.68564224m2
1acre acre
  • 43560sq ft (survey)
  • 10 sq ch
(4046.873 m2) 4046.8564224m2
1section section
(2.589998km2)
1 twp survey township
(93.23993km2)

The most widely used area unit with a name unrelated to any length unit is theacre.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,[17]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."[18]

Volume

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A 23.7 US fl oz (700 mL) bottle displaying both U.S. and metric units
List of US units of volume
Unit Name Divisions SI equivalent
cubic inch 16.387064mL[20]
  • 1 cu ft
  • 1 ft3
cubic foot 1,728cu in 28.316846592L
  • 1 cu yd
  • 1 yd3
cubic yard 27cu ft
  • 764.554857984 L
  • 0.764554857984m3
1acre⋅ft acre-foot
  • 1.23348183754752ML
  • (1,233.482m3)

Thecubic inch,cubic footandcubic yardare commonly used for measuring volume. In addition, there is one group of units for measuring volumes of liquids (based on thewine gallonandsubdivisions of the fluid ounce), and one for measuringvolumes of dry material,each with their own names and sub-units.

Although the units and their names are similar to the units in theimperial 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 thegallon,its subdivisions, and (in mass) higher combinations above thepound—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 (231 cubic inches, 3,790 cm3) and Winchester bushel (2,150.42 cubic inches, 35,239.1 cm3), as opposed to British 1824 definition of 1 imperial gallon (4.5 L; 1.2 US gal) = 10 lb (4.5 kg) of water and the bushel as 8 imperial gallons (36 L; 9.6 US gal).

Fluid volume

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List of US units of volume for liquids
Unit Name Divisions Metric equivalent
1min minim
61.611519921875μL
1fl dr US fluid dram 60min 3.6966911953125mL
1tsp teaspoon 80min 4.92892159375mL
1tbsp tablespoon 14.78676478125mL
US fluid ounce
29.5735295625mL
1jig US shot 44.36029434375mL
1gi US gill
118.29411825mL
1c US cup 236.5882365mL
US pint(liquid)
0.473176473L
US quart(liquid) 2US pt 0.946352946L
1pot US pottle(liquid) 2US qt 1.892705892L
US gallon(liquid) 3.785411784L
1bbl barrel(liquid) 31.5US gal 119.240471196L
1bbl oil barrel
158.987294928L
1hogshead hogshead 238.480942392L

One US fluid ounce is116of a US pint,132of a US quart, and1128of a US gallon. The teaspoon, tablespoon, and cup are defined in terms of a fluid ounce as16,12,and 8 fluid ounces respectively. The fluid ounce derives its name originally from being the volume of one ounceavoirdupoisof water,[citation needed]but in the US it is defined as1128of 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 tablespoon—precisely5 mLand15 mLrespectively.[21]

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 forbarrelfor 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 ofdrumfor 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". Thepottleis often referred to as a "half-gallon".

Dry volume

[edit]
List of US units of volume for dry goods[22]
Unit Name Divisions Metric equivalent
1pt pint(dry) 33.6003125cu in (0.55061047135749 L)
1qt quart(dry) 2pt (1.1012209427149 L)
1gal gallon(dry) 4qt (4.4048837708599 L)
1pk peck 2gal (8.8097675417199 L)
1bu bushel 4pk (35.239070166879 L)
1bbl barrel(dry)
  • 7056 cu in
  • 26.25gal
  • (3.281bu)
(115.62712358400 L)

Dry volumeis 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.[22][23]Howeverpecks,orbushelsare sometimes used—particularly forgrapes,applesand similarfruitsin agricultural regions.

Mass and weight

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Conversions
Type Unit Name Divisions SI equivalent
Avoirdupois 1gr grain 17000lb 64.79891mg
1dr dram
1.771845195g
1oz ounce 16drams 28.349523125g
1lb pound 16oz 453.59237g
US (short)hundredweight 100lb 45.359237kg
longhundredweight 112lb 50.80234544kg
short ton
907.18474kg
1ton long ton
1,016.0469088kg
Troy 1gr grain
64.79891mg
1dwt pennyweight
1.55517384g
1ozt troy ounce 20dwt 31.1034768g
1lbt troy pound
373.2417216g

There have historically been five different English systems of mass:tower,apothecaries',troy,avoirdupois,andmetric.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. Theimperialsystem, 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 453.59237gramsby 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 ofmass,[24]but the name pound is also applied to measures offorce.For instance, in many contexts, thepoundavoirdupois is used as a unit of mass, but in some contexts, the term "pound" is used to refer to "pound-force".Theslugis 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 anddram,troy haspennyweight,and avoirdupois has just dram, sometimes spelleddrachm). The dram in avoirdupois weighs just under half of the dram in apothecaries'. Thefluid dramunit 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 armsammunition.It was also used to measure medicine and other very small masses.

Grain measures

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In agricultural practice, abushelis a fixed volume of 2,150.42 cubic inches (35.2391 liters). The mass of grain will therefore vary according to density. Some nominal weight examples are:[25][26]

  • 1 bushel (corn) = 56 lb (25.4012 kg)
  • 1 bushel (wheat) = 60 lb (27.2155 kg)
  • 1 bushel (barley) = 48 lb (21.7724 kg)

Cooking measures

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Common volume measures in English-speaking countries
(Comparable measures listed for comparison purposes.)
Measure Australia Canada UK US USFDA[27]
Teaspoon 5mL 5mL 5mL 4.93mL 5mL
Dessertspoon 10mL 10mL
Tablespoon 20mL 15mL 15mL 14.79mL 15mL
Fluid ounce 28.41mL 29.57mL 30mL
Cup 250mL 250mL 236.59mL 240mL
Pint 570mL 568.26mL 473.18mL
Quart 1.14L 0.95L
Gallon 4.55L 3.79L

The most common practical cooking measures for both liquid and dry ingredients in the U.S. areteaspoon,tablespoon,andcup,along with halves, thirds, quarters, and eighths of each. Units used arepounds,ounces,andfluid ounces.Common sizes are also used, such ascan(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).[28]

Temperature

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DegreesFahrenheitare used in the U.S. to measuretemperaturesin most non-scientific contexts. TheRankine scaleofabsolute temperaturealso saw some use inthermodynamics.Scientists worldwide use thekelvinanddegree 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 islinearbut the scales have different zero points, so conversion is not simply multiplication by a factor. Pure water freezes at32 °F = 0 °Cand boils at212 °F = 100 °Cat 1atm.The conversion formula is:

or inversely as

Other units

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Length

Volume

Mass

  • 1slug= 1lbf⋅s2/ft ≈ 14.59390 kg

Force

  • 1poundal= force to accelerate 1 pound mass 1 foot/second/second ≈ 0.138newtons.
  • 1kip= 1000 lbf ≈ 4.44822kN

Energy

  • 1foot-pound≈ 1.356 J
  • 1British thermal unit(Btu) ≈ 1.055 kJ (1,054–1,060 J, depending on which of several definitions of BTU is used)
  • 1Quad1015BTU, one quadrillion BTU (short-scale) or 1.055×1018joule (1.055 exajoules or EJ)

Power

Pressure

Torque

Insulation

  • 1R-value(ft2⋅°F⋅h/Btu) ≈ 0.1761RSI(K⋅m2/W)

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

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The United States Code refers to these units as "traditional systems of weights and measures".[30]

Other common ways[citation needed]of referring to the system are:customary,standard,English,orimperial(which refers to the post-1824 reform measures used throughout the British Empire & Commonwealth countries).[31]Another term is thefoot–pound–second(FPS) system, as opposed tocentimeter–gram–second(CGS) andmeter–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. TheSociety of Automotive Engineers(SAE) originally developed fasteners standards using U.S. units for the U.S. auto industry; the organization now uses metric units.[32]

See also

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References

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  1. ^"US leaves the world puzzled by dragging its feet on metric system".The Nation Thailand.December 26, 2015.RetrievedJanuary 28,2023.[better source needed]
  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. ^T.C. Mendenhall,Superintendent of Standard Weights and Measures.Order of April 5, 1893ArchivedSeptember 30, 2012, at theWayback Machine,published as Appendix 6 to the Report for 1893 of theUnited States Coast and Geodetic Survey.
  4. ^abcAstin, 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. ^Laws and Metric Program.U.S. National Institute of Standards and Technology, 2010
  6. ^"English units of measurement".The Columbia Encyclopedia6th ed. 2001-2007.archived copy.
  7. ^Martin Gardner (May 4, 2012).Fads and Fallacies in the Name of Science.Courier Corporation. pp. 180–.ISBN978-0-486-13162-7.
  8. ^ab"References - Weights and Measures".The World Factbook.Washington, D.C.:Central Intelligence Agency.RetrievedApril 22,2021.
  9. ^Robyn Williams (February 8, 1998)"Trouble with the Metric System".AustralianRadio National,Ockham's Razor.
  10. ^Ed Tenner, (May 2005)."The Trouble with the Meter".Technologyreview.com.
  11. ^Units of Weight and Measure (United States Customary and Metric}: Definitions and Tables of Equivalents.Washington DC: United States National Bureau of Standards. 1960. p. 1.
  12. ^"Policy for NBS usage of SI Units".Technical News Bulletin.55(1). Washington DC: United States National Bureau of Standards: 18. January 1971.
  13. ^ab"U.S. Survey Foot".NIST.c. 2022.RetrievedMarch 29,2023.
  14. ^"Frequently Asked Questions about the National Geodetic Survey".National Geodetic Survey.RetrievedMay 16,2009.
  15. ^"State Plane Coordinate System of 1983: legislation and foot version".n.d.RetrievedFebruary 25,2024.
  16. ^ab"Deprecation of the United States (U.S.) Survey Foot".Federal Register.October 5, 2020.RetrievedOctober 19,2023.
  17. ^abcdeRoberts, R.W. (February 3, 1975).Federal Registerrepublished 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
  18. ^ab"U.S. Survey Foot: Revised Unit Conversion Factors".NIST.National Institute of Standards and Technology.September 23, 2019.RetrievedDecember 14,2023.Updated January 4, 2023.
  19. ^Barton, John W.; Bowers, Shelby L.; Butcher, Tina G, Harshman, Richard A.; Lee, G. Diane & Warfield, Lisa, eds.Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices2022 Edition. n.p.: National Institute of Standards and Technology. pp. B-7, C-20.
  20. ^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.
  21. ^21CFR101.9(b)(5)(viii)2 1CFR101.9
  22. ^ab101st 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.
  23. ^Summary of State Laws and Regulations in Weights and MeasuresArchivedDecember 5, 2011, at theWayback Machine.(2005)National Institute of Standards and Technology.
  24. ^NIST Handbook 44, Appendix C,General Tables of Units of Measurement,page C-6Avoirdupois Units of MassArchivedOctober 18, 2011, at theWayback Machine
  25. ^"United States Department of Agriculture".United States Department of Agriculture.August 20, 2019.RetrievedMay 28,2020.
  26. ^"Weights and Measures of agricultural commodities"(PDF).United States Department of Agriculture-National Agricultural Statistics Service.RetrievedMay 28,2020.
  27. ^"Title 21, 101.9 Nutrition labeling of food"(PDF).Code of Federal Regulations.US Government Printing Office.April 12, 2012.RetrievedNovember 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.
  28. ^Graham, Eunice."Common Measurements with Factor Labeling".{{cite journal}}:Cite journal requires|journal=(help)
  29. ^Wells, Larry J. (1981).Makin' Leather: A Manual of Primitive and Modern Leather Skills.Cedar Fort. p. 13.ISBN0882908359.
  30. ^15 U.S.C.§ 205b
  31. ^Kelechava, Brad (June 18, 2018)."US Customary System: An Origin Story".The ANSI Blog.RetrievedFebruary 25,2024.
  32. ^"Rules for SAE Use of SI (Metric) Units"(PDF).Society of Automotive Engineers, Inc. May 1999.RetrievedJuly 1,2012.
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