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Metre

From Wikipedia, the free encyclopedia
SI unit of length
This article is about the unit of length. For other uses of "metre" or "meter", seeMeter (disambiguation).

metre
Historical replicas of metric standards, including an iron metre
General information
Unit systemSI
Unit oflength
Symbolm[1]
Conversions
1 m[1]in ...... is equal to ...
   Imperial/US units   
  • ≈ 1.0936 yd
  • ≈ 3.2808 ft
  • ≈ 39.37 in
   Nautical units   ≈ 0.00053996 nmi

Themetre (ormeter inUS spelling; symbol:m) is thebase unit oflength in theInternational System of Units (SI). Since 2019, the metre has been defined as the length of the path travelled by light in vacuum during a time interval of1/299792458 of asecond, where the second is defined by ahyperfine transition frequency of caesium.[2]

The metre was originally defined in 1791 by theFrench National Assembly as one ten-millionth of the distance from theequator to theNorth Pole along agreat circle, so theEarth's polar circumference is approximately40000 km.

In 1799, the metre was redefined in terms of a prototype metre bar. The bar used was changed in 1889, and in 1960 the metre was redefined in terms of a certain number of wavelengths of a certain emission line ofkrypton-86. The current definition was adopted in 1983 and modified slightly in 2002 to clarify that the metre is a measure ofproper length. From 1983 until 2019, the metre was formally defined as the length of the path travelled bylight in vacuum in1/299792458 of asecond. After the2019 revision of the SI, this definition was rephrased to include the definition of a second in terms of the caesium frequencyΔνCs. This series of amendments did not alter the size of the metre significantly – today Earth's polar circumference measures40007.863 km, a change of about 200parts per million from the original value of exactly40000 km, which also includes improvements in the accuracy of measuring the circumference.

Spelling

[edit]

Metre is the standard spelling of the metric unit for length in nearly all English-speaking nations, the exceptions being the United States[3][4][5][6] and the Philippines[7] which usemeter.

Measuring devices (such asammeter,speedometer) are spelled "-meter" in all variants of English.[8] The suffix "-meter" has the same Greek origin as the unit of length.[9][10]

Etymology

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The etymological roots ofmetre can be traced to the Greek verbμετρέω (metreo) ((I) measure, count or compare)[11] and nounμέτρον (metron) (a measure),[12] which were used for physical measurement, for poetic metre and by extension for moderation or avoiding extremism (as in "be measured in your response"). This range of uses is also found in Latin (metior, mensura), French (mètre, mesure), English and other languages. The Greek word is derived from the Proto-Indo-European root*meh₁- 'to measure'. The mottoΜΕΤΡΩ ΧΡΩ (metro chro) on the seal of theInternational Bureau of Weights and Measures (BIPM) was approved byAdolphe Hirsch on 11 July 1875 and may be translated as "Keep the measure"; it thus calls for both measurement and moderation.[13] In English, the use of the wordmetre (for the French unitmètre) began at least as early as 1797.[14]

History of definition

[edit]
This section is an excerpt fromHistory of the metre.[edit]
Replicas of historical metric standards, including an iron copy of themètre des Archives.

During theFrench Revolution, thetraditional units of measure were to be replaced by consistent measures based on natural phenomena. As a baseunit of length, scientists had favoured theseconds pendulum (a pendulum with a half-period of one second) one century earlier, but this was rejected as it had been discovered that this length varied from place to place with local gravity. Themètre was introduced – defined as one ten-millionth of the shortest distance from the North Pole to the equatorpassing through Paris, assuming anEarth flattening of1/334.[15]

Following thearc measurement of Delambre and Méchain, the historical French official standard of the metre was made available in the form of theMètre des Archives, aplatinum bar held in Paris. It was originally also planned to dematerialize the definition of the metre by counting the number of swings of a one-metre-long pendulum during a day at alatitude of 45°.[16] However, dematerializing the definition of units of length by means of the pendulum would prove less reliable than artefacts.[17][18]

During the mid nineteenth century, following theAmerican Revolution and thedecolonization of the Americas, the metre gained adoption inAmericas, particularly in scientific usage, and it was officially established as an international measurement unit by theMetre Convention of 1875 at the beginning of theSecond Industrial Revolution.

TheMètre des Archives and its copies such as theCommittee Meter were replaced from 1889 at the initiative of theInternational Association of Geodesy by thirtyplatinum-iridium bars kept across the globe.[19] A betterstandardisation of the new prototypes of the metre and their comparison with each other and with the historical standard involved the development of specialised measuring equipment and the definition of a reproducible temperature scale.[20]

In collaboration with theInternational Geodetic Association created to measure the Earth, theInternational Bureau of Weights and Measures became the world reference centre for the measurement of geodetic bases thanks to the discovery ofinvar, an alloy of nickel and iron with a coefficient ofthermal expansion close to zero.[21][22]

Progress in science finally allowed the definition of the metre to be dematerialised; thus in 1960 a new definition based on a specific number of wavelengths of light from a specific transition inkrypton-86 allowed the standard to be universally available by measurement. In 1983 this was updated to a length defined in terms of thespeed of light; this definition was reworded in 2019:[23]

The metre, symbol m, is the SI unit of length. It is defined by taking the fixed numerical value of thespeed of light in vacuumc to be299792458 when expressed in the unit m⋅s−1, where the second is defined in terms of the caesium frequencyΔνCs.

Where older traditional length measures are still used, they are now defined in terms of the metre – for example theyard has since 1959 officially been defined as exactly 0.9144 metre.[24]

In May 2025, the 150th anniversary of the Metre Convention was celebrated with events in Paris and Versailles, organized by the BIPM and the French government. The celebrations highlighted the long-standing international cooperation in metrology under the theme “Measurements for all times, for all people.”[25][26]

SI prefixed forms of metre

[edit]
Main article:Orders of magnitude (length)

SI prefixes can be used to denote decimal multiples and submultiples of the metre, as shown in the table below. Long distances are usually expressed in km,astronomical units (149.6 Gm),light-years (10 Pm), orparsecs (31 Pm), rather than in Mm or larger multiples; "30 cm", "30 m", and "300 m" are more common than "3 dm", "3 dam", and "3 hm", respectively.

The termsmicron andmillimicron have been used instead ofmicrometre (μm) andnanometre (nm), respectively, but this practice is discouraged.[27]

SI multiples of metre (m)
SubmultiplesMultiples
ValueSI symbolNameValueSI symbolName
10−1 mdmdecimetre101 mdamdecametre
10−2 mcmcentimetre102 mhmhectometre
10−3 mmmmillimetre103 mkmkilometre
10−6 mμmmicrometre106 mMmmegametre
10−9 mnmnanometre109 mGmgigametre
10−12 mpmpicometre1012 mTmterametre
10−15 mfmfemtometre1015 mPmpetametre
10−18 mamattometre1018 mEmexametre
10−21 mzmzeptometre1021 mZmzettametre
10−24 mymyoctometre1024 mYmyottametre
10−27 mrmrontometre1027 mRmronnametre
10−30 mqmquectometre1030 mQmquettametre

Equivalents in other units

[edit]
Metric unit
expressed in non-SI units
Non-SI unit
expressed in metric units
1 metre1.0936yard1 yard=0.9144metre
1 metre39.370inches1 inch=0.0254metre
centimetre0.39370inch1 inch=2.54centimetres
millimetre0.039370inch1 inch=25.4millimetres
1 metre=1010ångström1 ångström=10−10metre
nanometre=10ångström1 ångström=100picometres

Within this table, "inch" and "yard" mean "international inch" and "international yard"[28] respectively, though approximate conversions in the left column hold for both international and survey units.

"≈" means "is approximately equal to";
"=" means "is exactly equal to".

One metre is exactly equivalent to5 000/127 inches and to1 250/1 143 yards.

A simplemnemonic to assist with conversion is "three 3s": 1 metre is nearly equivalent to 3 feet3+38 inches. This gives an overestimate of 0.125 mm.

The ancient Egyptiancubit was about 0.5 m (surviving rods are 523–529 mm).[29] Scottish and English definitions of theell (2 cubits) were 941 mm (0.941 m) and 1143 mm (1.143 m) respectively.[30][31] The ancient Parisiantoise (fathom) was slightly shorter than 2 m and was standardised at exactly 2 m in themesures usuelles system, such that 1 m was exactly12 toise.[32] The Russianverst was 1.0668 km.[33] TheSwedish mil was 10.688 km, but was changed to 10 km when Sweden converted to metric units.[34]

See also

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Wikimedia Commons has media related toMetre.
Look upmetre in Wiktionary, the free dictionary.

References

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  1. ^"Base unit definitions: Meter".National Institute of Standards and Technology. Retrieved28 September 2010.
  2. ^International Bureau of Weights and Measures (20 May 2019),The International System of Units (SI)(PDF) (9th ed.),ISBN 978-92-822-2272-0,archived from the original on 18 October 2021
  3. ^"The International System of Units (SI) – NIST"(PDF). US:National Institute of Standards and Technology. 26 March 2008.The spelling of English words is in accordance with the United States Government Printing Office Style Manual, which follows Webster's Third New International Dictionary rather than the Oxford Dictionary. Thus the spellings 'meter', 'liter', 'deka', and 'cesium' are used rather than 'metre', 'litre', 'deca', and 'caesium' as in the original BIPM English text.
  4. ^The most recent official brochure about the International System of Units (SI), written in French by theBureau international des poids et mesures,International Bureau of Weights and Measures (BIPM) uses the spellingmetre; an English translation, included to make the SI standard more widely accessible also uses the spellingmetre (BIPM, 2006, p. 130ff). However, in 2008 the U.S. English translation published by the U.S.National Institute of Standards and Technology (NIST) chose to use the spellingmeter in accordance with the United States Government Printing Office Style Manual. The Metric Conversion Act of 1975 gives the Secretary of Commerce of the US the responsibility of interpreting or modifying the SI for use in the US. The Secretary of Commerce delegated this authority to the Director of the National Institute of Standards and Technology (Turner). In 2008, NIST published the US version (Taylor and Thompson, 2008a) of the English text of the eighth edition of the BIPM publicationLe Système international d'unités (SI) (BIPM, 2006). In the NIST publication, the spellings "meter", "liter" and "deka" are used rather than "metre", "litre" and "deca" as in the original BIPM English text (Taylor and Thompson (2008a), p. iii). The Director of the NIST officially recognised this publication, together withTaylor and Thompson (2008b), as the "legal interpretation" of the SI for the United States (Turner). Thus, the spellingmetre is referred to as the "international spelling"; the spellingmeter, as the "American spelling".
  5. ^Naughtin, Pat (2008)."Spelling metre or meter"(PDF).Metrication Matters. Archived from the original on 11 October 2016. Retrieved12 March 2017.
  6. ^"Meter vs. metre".Grammarist. 21 February 2011. Retrieved12 March 2017.
  7. ^The Philippines usesEnglish as an official language and this largely follows American English since the country became a colony of the United States. While the law that converted the country to use themetric system usesmetre (Batas Pambansa Blg. 8) following the SI spelling, in actual practice,meter is used in government and everyday commerce, as evidenced by laws (kilometer,Republic Act No. 7160), Supreme Court decisions (meter,G.R. No. 185240), and national standards (centimeter,PNS/BAFS 181:2016).
  8. ^Cambridge Advanced Learner's Dictionary.Cambridge University Press. 2008. Archived fromthe original on 3 July 2013. Retrieved19 September 2012., s.v. ammeter, meter, parking meter, speedometer.
  9. ^American Heritage Dictionary of the English Language (3rd ed.). Boston:Houghton Mifflin. 1992., s.v. meter.
  10. ^"-meter – definition of -meter in English". Oxford Dictionaries. Archived fromthe original on 26 April 2017.
  11. ^μετρέω.Liddell, Henry George;Scott, Robert;A Greek–English Lexicon at thePerseus Project.
  12. ^μέτρον inLiddell andScott.
  13. ^"History – The BIPM 150". Retrieved24 January 2025.
  14. ^Oxford English Dictionary, Clarendon Press 2nd ed. 1989, vol. IX p. 697 col. 3.
  15. ^Quinn, T. J. (2012).From artefacts to atoms: the BIPM and the search for ultimate measurement standards. Oxford: Oxford University Press. pp. 12–14,8–12,49–72,106–108,144–147.ISBN 978-0-19-990991-9.OCLC 861693071.
  16. ^Bigourdan, Guillaume (1907)."Sur la mesure de la méridienne de France, à la fin du XVIIIe siècle, pour la détermination du mètre".Bulletin Astronomique, Observatoire de Paris.24 (1):330–336.doi:10.3406/bastr.1907.12442.
  17. ^Crease, Robert P. (1 December 2009)."Charles Sanders Peirce and the first absolute measurement standard".Physics Today.62 (12):39–44.Bibcode:2009PhT....62l..39C.doi:10.1063/1.3273015.ISSN 0031-9228.
  18. ^Guillaume, Ed (1916)."Le Systeme Metrique est-il en Peril?".L'Astronomie.30:242–249.ISSN 0004-6302.
  19. ^"BIPM – Commission internationale du mètre".www.bipm.org. Archived fromthe original on 18 November 2018. Retrieved13 November 2019.
  20. ^"BIPM – la définition du mètre".www.bipm.org. Archived fromthe original on 30 April 2017. Retrieved17 June 2019.
  21. ^"History – The BIPM 150". Retrieved24 January 2025.
  22. ^"Dr. C. E. Guillaume".Nature.134 (3397): 874. 1 December 1934.Bibcode:1934Natur.134R.874..doi:10.1038/134874b0.ISSN 1476-4687.S2CID 4140694.
  23. ^9th edition of the SI Brochure,BIPM, 2019, p. 131
  24. ^Nelson, Robert A. (December 1981)."Foundations of the international system of units (SI)"(PDF).The Physics Teacher.19 (9):596–613.Bibcode:1981PhTea..19..596N.doi:10.1119/1.2340901.
  25. ^"World Metrology Day 2025".World Metrology Day. BIPM and OIML. Retrieved3 September 2025.
  26. ^"Metre Convention events in Paris and Versailles".BIPM (Press release). Retrieved3 September 2025.
  27. ^Taylor & Thompson 2003, p. 11.
  28. ^Astin & Karo 1959.
  29. ^Arnold Dieter (1991).Building in Egypt: pharaonic stone masonry. Oxford: Oxford University Press.ISBN 978-0-19-506350-9. p.251.
  30. ^"Dictionary of the Scots Language". Archived fromthe original on 21 March 2012. Retrieved6 August 2011.
  31. ^The Penny Magazine of the Society for the Diffusion of Useful Knowledge. Charles Knight. 6 June 1840. pp. 221–22.
  32. ^Hallock, William; Wade, Herbert T (1906)."Outlines of the evolution of weights and measures and the metric system". London: The Macmillan Company. pp. 66–69.
  33. ^Cardarelli 2004.
  34. ^Hofstad, Knut."Mil".Store norske leksikon. Retrieved18 October 2019.

Cited bibliography

[edit]
Base units
Derived units
with special names
Other accepted units
See also
From smallest to largest (left to right). Commonly used units shown inbold italics.
International
National
Other
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