Metre (unit): Difference between revisions

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The '''metre''' (American '''meter''') is the basic unit of length measurement in the [[International System of Units]] (SI) commonly known as the metric system. The metre is abbreviated as '''m''', appearing after the quantity.  
The '''metre''' (American '''meter''') is the basic unit of length measurement in the [[International System of Units]] (SI) commonly known as the metric system. The metre is abbreviated as '''m''', appearing after the quantity.  


Currently, the SI units define the metre in terms of the [[speed of light]] and the [[second]], such that the metre is the length traveled by light in the reference medium of [[Free space (electromagnetism)|classical vacuum]] in the time interval of 1/299 792 458 second.<ref name=BIPM>[http://www.bipm.org/en/si/si_brochure/chapter2/2-1/metre.html International Bureau of Weights and Measures] From the website of the [[International Bureau of Weights and Measures]].</ref>  
Currently, the SI units define the metre in terms of the [[speed of light]] and the [[second]], such that the metre is the length traveled by light in the reference medium of [[Free_space_(electromagnetism)#Classical_case|classical vacuum]] in the time interval of 1/299 792 458 second.<ref name=BIPM>[http://www.bipm.org/en/si/si_brochure/chapter2/2-1/metre.html International Bureau of Weights and Measures] From the website of the [[International Bureau of Weights and Measures]].</ref>  


An easily realized and reproducible measurement is a major goal of [[metrology]].  The practicality of adoption of a ''time of flight'' as a measure of length depends critically upon the experimental fact that the [[speed of light]] in [[vacuum (laboratory)|vacuum]] is a universal constant to within experimental error.<ref name=Gies >
An easily realized and reproducible measurement is a major goal of [[metrology]].  The practicality of adoption of a ''time of flight'' as a measure of length depends critically upon the experimental fact that the [[speed of light]] in [[vacuum (laboratory)|vacuum]] is a universal constant to within experimental error.<ref name=Gies >
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{{cite book |title=Probing the quantum vacuum: perturbative effective action approach in quantum electrodynamics and its application |author=Walter Dittrich, Holger Gies |url=http://books.google.com/books?id=DyhyFSL7bNUC&pg=PA1 |pages=pp. 1 ''ff'' |isbn=3540674284 |year=2000 |publisher=Springer}}
{{cite book |title=Probing the quantum vacuum: perturbative effective action approach in quantum electrodynamics and its application |author=Walter Dittrich, Holger Gies |url=http://books.google.com/books?id=DyhyFSL7bNUC&pg=PA1 |pages=pp. 1 ''ff'' |isbn=3540674284 |year=2000 |publisher=Springer}}


</ref> As a result of the present definition, aside from the error in measuring transit times, length measurements are subject only to the uncertainty in relating the medium used in a particular measurement to a reference vacuum, taken in SI units to be the [[Free space (electromagnetism)|classical vacuum]].  
</ref> As a result of the present definition, aside from the error in measuring transit times, length measurements are subject only to the uncertainty in relating the medium used in a particular measurement to a reference vacuum, taken in SI units to be the [[Free_space_(electromagnetism)#Classical_case|classical vacuum]].  


The metre is also the basis of the SI units of area and volume, which are the '''square metre''' ('''m<sup>2</sup>''') and '''cubic metre''' ('''m<sup>3</sup>'''), respectively.  
The metre is also the basis of the SI units of area and volume, which are the '''square metre''' ('''m<sup>2</sup>''') and '''cubic metre''' ('''m<sup>3</sup>'''), respectively.  

Revision as of 11:01, 12 March 2011

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This article is about Metre (unit). For other uses of the term Metre, please see Metre (disambiguation).

The metre (American meter) is the basic unit of length measurement in the International System of Units (SI) commonly known as the metric system. The metre is abbreviated as m, appearing after the quantity.

Currently, the SI units define the metre in terms of the speed of light and the second, such that the metre is the length traveled by light in the reference medium of classical vacuum in the time interval of 1/299 792 458 second.[1]

An easily realized and reproducible measurement is a major goal of metrology. The practicality of adoption of a time of flight as a measure of length depends critically upon the experimental fact that the speed of light in vacuum is a universal constant to within experimental error.[2] As a result of the present definition, aside from the error in measuring transit times, length measurements are subject only to the uncertainty in relating the medium used in a particular measurement to a reference vacuum, taken in SI units to be the classical vacuum.

The metre is also the basis of the SI units of area and volume, which are the square metre (m2) and cubic metre (m3), respectively.

Very few adult humans are as tall as 2m in height.

History

The metre was initially adopted as a unit of measure in France in 1790, during the French Revolution.

The original definition of the metre was the length of a pendulum with a half-period of 1 second, but was changed in 1791 to be the length of a prototype bar which was supposed to be 1/10 000 000 of the length of the meridian of Paris from the north pole to the equator. Since then, the metre has been redefined a number of times.[3]

Traditional units

The foot has been defined in the United States to equal exactly 0.3048m, though an earlier definition of the survey foot was 1200/3937 m, which is different than the current definition by about one part in 500 000. The inch, being 1/12 foot, is exactly 0.0254m, or 2.54cm.

The modern Chinese chǐ (市尺), or "Chinese foot", has been defined to equal exactly one-third of a meter. The Hong Kong chek (尺) is exactly 0.371475m. The Japanese kanejaku (曲尺) was defined as 10/33m in 1891.

The Spanish vara was fixed at about 835.9mm in 1801; however, the vara was defined in California as 838.2mm (33 inches), and in Texas as 846.666...mm (33 1/3 inches).

The megalithic yard is approximately 0.83m.

References

  1. International Bureau of Weights and Measures From the website of the International Bureau of Weights and Measures.
  2. Walter Dittrich, Holger Gies (2000). Probing the quantum vacuum: perturbative effective action approach in quantum electrodynamics and its application. Springer, pp. 1 ff. ISBN 3540674284. 
  3. For a brief history, see Historical context of the SI. The NIST reference on constants, units and uncertainty. NIST. Retrieved on 2011-03-08.