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Unit of length

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Reference value of length

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A ruler, depicting two customary units of length, the centimeter and the inch

Aunit of length refers to any arbitrarily chosen and accepted reference standard for measurement of length. The most common units in modern use are themetric units, used in every country globally. In the United States theU.S. customary units are also in use. BritishImperial units are still used for some purposes in the United Kingdom and some other countries. The metric system is sub-divided intoSI and non-SI units.[1][2][3]

History

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This section is an excerpt fromHistory of measurement § Units of length.[edit]

Before the establishment of the decimalmetric system inFrance during theFrench Revolution in the late18th century,[4] many units of length were based on parts of thehuman body.[5][6]

The Nippurcubit was one of the oldest known units of length. The oldest known metalstandard forlength corresponds to this Sumerian unit and dates from 2650 BCE.[7][8] Thiscopper bar was discovered inNippur, on the banks of theEuphrates, and is kept in theIstanbul Archaeological Museum. Archaeologists consider that this 51.85 centimetres long unit was the origin of theRoman foot. Indeed, theEgyptians divided theSumerian cubit into 28fingers and 16 of these fingers gave a Roman foot of 29.633 cm.[8][6]

Metric system

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Main article:Metric system

SI

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Main article:International System of Units
See also:Orders of magnitude (length)

Thebase unit in the International System of Units (SI) is themeter, defined as "the length of the path travelled bylight in vacuum during a time interval of1299792458 seconds."[9] It is approximately equal to1.0936 yd. Other SI units are derived from the meter by addingprefixes, as in millimeter or kilometer, thus producing systematic decimal multiples and submultiples of the base unit that span many orders of magnitude. For example, akilometer is1000 m.

Non-SI

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In thecentimeter–gram–second system of units, the basic unit of length is thecentimeter, or1100 of a meter.Other non-SI units are derived from decimal multiples of the meter.

NameSymbolSI value
fermifm1femtometer
ångströmÅ100picometers
micronμm1micrometer
Norwegian/Swedish mil ormyriameter10,000 meters
x unitxu0.1 picometer

Imperial/U.S.

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Main articles:Imperial units,United States customary units, andEnglish units of measurement § Length

The basic unit of length in the imperial and U.S. customary systems is theyard, defined as exactly0.9144 m by international treaty in 1959.[2][10]

Common imperial units and U.S. customary units of length include:[11]

  • thou or mil (11000 of an inch)
  • inch (25.4 mm)
  • foot (12 inches, 0.3048 m)
  • yard (3 feet, 0.9144 m)
  • (terrestrial)mile (5280 feet, or 1760 yards 1609.344 m)
  • (land)league 3 miles (4,800 m)

Marine

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In addition, the following are used bysailors:

  • fathom (for depth; only in non-metric countries) (2 yards = 1.8288 m)
  • nautical mile (one minute of arc of latitude =1852 m)

Aviation

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Aviators use feet for altitude worldwide (except in Russia and China) and nautical miles for distance.[citation needed]

Surveying

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Determination of the rod, using the length of the left foot of 16 randomly chosen people coming from church service

Surveyors in the United States continue to use:

  • chain (22 yards, or20.1168 m)
  • rod (also called pole or perch) (quarter of a chain, 512 yards, or5.0292 m)

Australian building trades

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The Australian building trades adopted themetric system in 1966 and the units used for measurement of length aremeters (m) andmillimeters (mm).Centimeters (cm) are avoided as they cause confusion when readingplans. For example, the length two and a half meters is usually recorded as 2500 mm or 2.5 m; it would be considered non-standard to record this length as 250 cm.[12][13]

Surveyor's trade

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American surveyors use a decimal-based system of measurement devised byEdmund Gunter in 1620. The base unit isGunter's chain of 66 feet (20 m) which is subdivided into 4 rods, each of 16.5 ft or 100 links of 0.66 feet. A link is abbreviated "lk", and links "lks", in old deeds and land surveys done for the government.

Science

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Astronomy

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Main article:Astronomical system of units

Astronomical measure uses:

Physics

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In atomic physics, sub-atomic physics, and cosmology, the preferred unit of length is often related to a chosen fundamental physical constant, or combination thereof. This is often a characteristic radius or wavelength of a particle. Some commonnatural units of length are included in this table:

Atomic propertySymbolLength, in metersReference
The classical electron radiusre2.817940285(31)×10−15[18]
The Compton wavelength of the electronλC2.426310215(18)×10−12[18]
The reduced Compton wavelength of the electronλC3.8615926764(18)×10−13[19]
The Compton wavelength (or reduced Compton wavelength) of any fundamental particleλx
TheBohr radius of the hydrogen atom (Atomic unit of length)a05.291772083(19)×10−11[18]
The reduced wavelength of hydrogen radiation1 /R9.112670505509(83)×10−8[18]
ThePlanck length𝓁P1.616199(97)×10−35[20]
Stoney unit of lengthlS1.381×10−35
Quantum chromodynamics (QCD) unit of lengthlQCD2.103×10−16
Natural units based on the electronvolt1 eV−11.97×10−7

Archaic

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See also:English units of length

Archaic units of distance include:

Informal

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See also:List of humorous units of measurement andList of unusual units of measurement

In everyday conversation, and in informal literature, it is common to see lengths measured in units of objects of which everyone knows the approximate width. Common examples are:

Other

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Horse racing and other equestrian activities keep alive:

See also

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References

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  1. ^Cardarelli, François (2003).Encyclopaedia of Scientific Units, Weights, and Measures: Their SI Equivalences and Origins. Springer.ISBN 9781852336820.
  2. ^abHinkelman, Edward G.; Sibylla Putzi (2005).Dictionary Of International Trade: Handbook Of The Global Trade Community. World Trade Press. p. 245.ISBN 9781885073723.
  3. ^Judson, Lewis Van Hagen (1960).Units of Weight and Measure (United States Customary and Metric): Definitions and Tables of Equivalents, Issue,233. U.S. Department of Commerce, National Bureau of Standards. pp. 3–4. Retrieved16 October 2012.
  4. ^Débarbat, Suzanne; Quinn, Terry (1 January 2019)."Les origines du système métrique en France et la Convention du mètre de 1875, qui a ouvert la voie au Système international d'unités et à sa révision de 2018".Comptes Rendus Physique. The new International System of Units / Le nouveau Système international d’unités (in French).20 (1):6–21.Bibcode:2019CRPhy..20....6D.doi:10.1016/j.crhy.2018.12.002.ISSN 1631-0705.
  5. ^Kaaronen, Roope O.; Manninen, Mikael A.; Eronen, Jussi T. (2023-06-02)."Body-based units of measure in cultural evolution".Science.380 (6648):948–954.Bibcode:2023Sci...380..948K.doi:10.1126/science.adf1936.PMID 37262170.
  6. ^ab"Du pied au mètredu marc au kiloL'histoire des unités des poids et mesuresévoquée par quelques objets emblématiques descollections du Musée d'histoire des sciences"(PDF). June 2010. p. 2.
  7. ^Duran, Zaide; Aydar, Umut (July 2012)."Digital modeling of world's first known length reference unit: The Nippur cubit rod".Journal of Cultural Heritage.13 (3):352–356.doi:10.1016/j.culher.2011.12.006.
  8. ^abZ. Duran; U. Aydar (2008)."Measurement and 3D modelling of an ancient measuring device: Nippur Cubit Rod"(PDF).The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences.XXXVII: 265.
  9. ^"17th General Conference on Weights and Measures (1983), Resolution 1". Retrieved2012-09-19.
  10. ^Donald Fenna (2002).A dictionary of weights, measures, and units. Oxford University Press. pp. 130–131.ISBN 978-0198605225. Retrieved8 January 2012.
  11. ^Cardarelli 2003, pp. 29–30
  12. ^Wilks, Kevin Joseph. (1992).Metrication in Australia : a review of the effectiveness of policies and procedures in Australia's conversion to the metric system. Australia. Department of Industry, Technology, and Commerce. Canberra: Australian Govt. Pub. Service. p. 94.ISBN 0-644-24860-2.OCLC 27702954.
  13. ^"Metrication in Australia"(PDF).
  14. ^Moritz, H. (March 2000). "Geodetic Reference System 1980".Journal of Geodesy.74 (1):128–133.Bibcode:2000JGeod..74..128..doi:10.1007/s001900050278.S2CID 195290884.
  15. ^Battat, J. B. R.; Murphy, T. W.; Adelberger, E. G. (January 2009)."The Apache Point Observatory Lunar Laser-ranging Operation (APOLLO): Two Years of Millimeter-Precision Measurements of the Earth-Moon Range".Astronomical Society of the Pacific.121 (875):29–40.Bibcode:2009PASP..121...29B.doi:10.1086/596748.JSTOR 10.1086/596748.
  16. ^Geoff Brumfiel (14 Sep 2012)."The astronomical unit gets fixed: Earth–Sun distance changes from slippery equation to single number".Nature.doi:10.1038/nature.2012.11416. Retrieved14 Sep 2012.
  17. ^The IAU and astronomical units, International Astronomical Union, archived fromthe original on 2009-10-22, retrieved2008-07-05
  18. ^abcdQuinn, T.J.; Leschiutta, S.; Tavella, P. (August 2000).Recent advances in metrology and fundamental constants. Amsterdam; Washington, DC: IOS Press, 2001. Proceedings of the International School of Physics "Enrico Fermi". pp. 142–143.ISBN 9781586031671.
  19. ^"Compton wavelength over 2 pi".The NIST Reference on Constants, Units, and Uncertainty. NIST. Retrieved15 October 2012.
  20. ^"Planck length".The NIST Reference on Constants, Units, and Uncertainty.NIST. Retrieved15 October 2012.

Further reading

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  • Whitelaw, Ian (2007).A Measure of All Things: The Story of Man and Measurement. Macmillan.ISBN 9780312370268.
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