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Metre per second
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{{Short description|SI derived unit of speed and velocity}} {{Redirect|m/s|other uses}} {{Infobox unit | name = Metre per second | image = | caption = | standard = [[International System of Units|SI]] | quantity = [[speed]] | symbol = m/s | units1 = [[Kilometres per hour|km/h]] | inunits1 = 3.6 | units2 = [[Miles per hour|mph]] | inunits2 = 2.2369 | units3 = [[Knot (unit)|kn]] | inunits3 = 1.9438 | units4 = [[Foot per second|ft/s]] | inunits4 = 3.2808 }} The '''metre per second''' is the unit of both [[speed]] (a [[scalar (physics)|scalar quantity]]) and [[velocity]] (a [[Vector (mathematics and physics)|vector quantity]], which has direction and magnitude) in the [[International System of Units]] (SI), equal to the speed of a body covering a [[distance]] of one [[metre]] in a time of one [[second]]. According to the definition of metre,<ref name="nist-definitions">{{Cite web |date=29 May 2019 |title=Definitions of the SI base units |url=https://physics.nist.gov/cuu/Units/current.html |access-date=8 February 2022 |website=physics.nist.gov}}</ref> {{val|1|u=m/s}} is exactly <math display="inline">\frac{1}{299792458}</math> of the [[speed of light]]. The [[International System of Units|SI unit]] symbols are '''m/s''', '''m·s<sup>−1</sup>''', '''m s<sup>−1</sup>''', or '''{{sfrac|m|s}}'''.<ref>{{Cite web |url=https://www.bipm.org/en/publications/si-brochure/section5-1.html |title=SI brochure, Section 5.1 |access-date=2018-06-08 |archive-date=2019-03-21 |archive-url=https://web.archive.org/web/20190321011313/https://www.bipm.org/en/publications/si-brochure/section5-1.html |url-status=dead }}</ref> == Conversions == {{val|1|u=m/s}} is equivalent to: : = 3.6 [[kilometres per hour|km/h]] (exactly)<ref>{{Cite book|url=https://books.google.com/books?id=Zc14AAAAQBAJ|title=South African Automotive Light Vehicle Level 3|last=CDX Automotive|publisher=Jones & Bartlett Learning|year=2013|isbn=978-1449697853|pages=478}}</ref> : ≈ 3.2808 [[feet per second]] (approximately)<ref>{{Cite book|title=EXERGY: Energy, Environment and Sustainable Development|last1=Dinçer|first1=İbrahim|last2=Rosen|first2=Marc A.|publisher=Elsevier|year=2007|isbn=9780080531359|location=Amsterdam|pages=444|oclc=228148217}}</ref> : ≈ 2.2369 [[miles per hour]] (approximately)<ref>{{Cite book|title=Vehicle Dynamics: Theory and Application|last=Jazar|first=Reza N.|publisher=Springer|year=2017|isbn=9783319534411|edition=3.|location=Cham, Switzerland|pages=957|oclc=988750637}}</ref> : ≈ 1.9438 [[knot (unit)|knots]] (approximately)<ref>{{Cite book|title=Introduction to Avionics Systems|last=Collinson|first=R.P.G.|publisher=Springer Science & Business Media|year=2013|isbn=9781441974662|edition=2.|location=Boston|pages=16|oclc=861706692}}</ref> 1 [[feet per second|foot per second]] = {{val|0.3048|u=m/s}} (exactly)<ref>{{Cite book|url=https://books.google.com/books?id=RsQaCgAAQBAJ|title=Mechanics of Fluids, SI Edition|last1=Potter|first1=Merle C|last2=Wiggert|first2=David C|last3=Ramadan|first3=Bassem H.|publisher=Cengage Learning|year=2016|isbn=978-1305887701|edition=5.|pages=722}}</ref> 1 [[miles per hour|mile per hour]] = {{val|0.44704|u=m/s}} (exactly)<ref>{{Cite book|title=Mechanics for Engineers: Statics|last1=Das|first1=Braja M.|last2=Kassimali|first2=Aslam|last3=Sami|first3=Sedat|publisher=J. Ross Publishing|year=2010|isbn=9781604270297|location=Ft. Lauderdale, FL|pages=556|oclc=419827343}}</ref> 1 [[kilometres per hour|km/h]] = {{val|0.2|end={{overline|7}}|u=m/s}} (exactly)<ref>{{Cite book|title=Fundamentals of medium/heavy duty diesel engines|last=Wright|first=Gus|publisher=Jones & Bartlett Publishers|year=2015|isbn=9781284067057|location=Burlington, Massachusetts|pages=1349|oclc=927104266}}</ref> == Relation to other measures == The '''benz''', named in honour of [[Karl Benz]], has been proposed as a name for one metre per second.<ref name="Klein2011"/> Although it has seen some support as a practical unit,<ref name="Heijungs2005"/> primarily from German sources,<ref name="Klein2011"/> it was rejected as the SI unit of velocity<ref name="Cardarelli2004"/> and has not seen widespread use or acceptance.<ref name="Dresner1974"/> The square of metres per second, or [[square metre per square second]], is used as a unit of [[gravitational potential]]. == Unicode character == The "metre per second" symbol is encoded by [[Unicode]] at code point {{unichar|33A7|Square M over S}}.<ref name="Unicode-U3300">{{cite web |url=https://www.unicode.org/charts/PDF/U3300.pdf |access-date=May 24, 2019 |title=The Unicode Standard 12.0 – CJK Compatibility ❰ Range: 3300—33FF ❱ |author=Unicode Consortium |author-link=Unicode Consortium |date=2019 |website=Unicode.org}}</ref> == See also == * [[Orders of magnitude (speed)]] * [[Metre per second squared]] * [[Metre]] == References == {{reflist|refs= <ref name="Cardarelli2004">{{cite book |author=Cardarelli F. |others=Transl. by MJ Shields. |title=Encyclopaedia of Scientific Units, Weights and Measures: Their SI Equivalences and Origins |edition=3rd revised |publisher=Springer |year=2004 |isbn=978-1852336820 |page=[https://archive.org/details/encyclopaediaofs0000card/page/217 217] |url=https://archive.org/details/encyclopaediaofs0000card/page/217 }}</ref> <ref name="Dresner1974">{{cite book |author=Dresner S. |title=Units of Measurement: An Encyclopaedic Dictionary of Units Both Scientific and Popular and the Quantities They Measure |year=1974 |publisher=Harvey Miller and Medcalf |isbn=978-0-85602-036-0 |page=13}}</ref> <ref name="Heijungs2005">{{cite journal |author=Heijungs R. |title=On the Use of Units in LCA |journal=The International Journal of Life Cycle Assessment |year=2005 |volume=10 |issue=3 |doi=10.1065/lca2005.02.199 |page=174|bibcode=2005IJLCA..10..173H |s2cid=110961104 }}</ref> <ref name="Klein2011">{{cite book |author=Klein HA. |title=The Science of Measurement: A Historical Survey |year=2011 |publisher=Dover Publications |isbn=978-0486258393 |page=695}}</ref> }} == External links == * [http://webarchive.loc.gov/all/20150221180343/http://www.bipm.org/en/si/si_brochure/chapter2/2-1/metre.html Official BIPM definition of the metre] * [http://www.bipm.org/en/si/si_brochure/chapter2/2-1/second.html Official BIPM definition of the second] {{DEFAULTSORT:Metre Per Second}} [[Category:Units of velocity]] [[Category:SI derived units]]
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