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{{Short description|SI derived unit of speed and velocity}}
{{Redirect|m/s|other uses}}
{{Redirect|m/s|other uses}}
{{Infobox unit
{{Infobox unit
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| inunits4 = 3.2808
| inunits4 = 3.2808
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The '''metre per second''' is an [[SI derived unit]] of both [[speed]] ([[scalar (physics)|scalar quantity]]) and [[velocity]] ([[vector (geometry)|vector quantity]] (which have direction and magnitude)), equal to the speed of a body covering a [[distance]] of one metre in a time of one second.
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>[https://www.bipm.org/en/publications/si-brochure/section5-1.html SI brochure, Section 5.1]</ref> sometimes (unofficially) abbreviated as {{em|mps}}.{{fact|date=December 2019}}
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==
== Conversions ==
{{val|1|u=m/s}} is equivalent to:
{{val|1|u=m/s}} is equivalent to:
: = 3.6 [[kilometres per hour|km/h]] (exactly)<ref>{{Cite book|url=https://books.google.com/?id=Zc14AAAAQBAJ|title=South African Automotive Light Vehicle Level 3|last=CDX Automotive|publisher=Jones & Bartlett Learning|year=2013|isbn=978-1449697853|location=|pages=478|type=}}</ref>
: = 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|last=Dinçer|first=İbrahim|last2=Rosen|first2=Marc A.|publisher=Elsevier|year=2007|isbn=9780080531359|location=Amsterdam|publication-place=|pages=444|type=|oclc=228148217}}</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|publication-place=|pages=957|type=|oclc=988750637}}</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|type=|oclc=861706692}}</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/?id=RsQaCgAAQBAJ|title=Mechanics of Fluids, SI Edition|last=Potter|first=Merle C|last2=Wiggert|first2=David C|last3=Ramadan|first3=Bassem H.|publisher=Cengage Learning|year=2016|isbn=978-1305887701|edition=5.|location=|pages=722|type=}}</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|last=Das|first=Braja M.|last2=Kassimali|first2=Aslam|last3=Sami|first3=Sedat|publisher=J. Ross Publishing|year=2010|isbn=9781604270297|location=Ft. Lauderdale, FL|pages=556|type=|oclc=419827343}}</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&nbsp;[[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|type=|oclc=927104266}}</ref>
1&nbsp;[[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==
== 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 '''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"/>


== Unicode character ==
== Unicode character ==
The "metre per second" symbol is encoded by [[Unicode]] at code point {{unichar|33A7|Square M over S}} ❰ {{resize|150%|㎧}} ❱.<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>
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==
== See also ==
* [[Orders of magnitude (speed)]]
* [[Orders of magnitude (speed)]]
* [[Metre per second squared]]
* [[Metre per second squared]]
* [[Metre]]
* [[Metre]]


==References==
== References ==
{{reflist|refs=
{{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="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>
Line 50: Line 51:
<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="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}}</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|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>
<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==
== External links ==
*[http://www.bipm.org/en/si/si_brochure/chapter2/2-1/metre.html Official BIPM definition of the metre]
* [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]
* [http://www.bipm.org/en/si/si_brochure/chapter2/2-1/second.html Official BIPM definition of the second]


{{DEFAULTSORT:Metre Per Second}}
{{DEFAULTSORT:Metre Per Second}}

Revision as of 05:27, 3 December 2023

Metre per second
Unit systemSI
Unit ofspeed
Symbolm/s
Conversions
1 m/s in ...... is equal to ...
   km/h   3.6
   mph   2.2369
   kn   1.9438
   ft/s   3.2808

The metre per second is the unit of both speed (a scalar quantity) and velocity (a 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,[1] 1 m/s is exactly of the speed of light.

The SI unit symbols are m/s, m·s−1, m s−1, or m/s.[2]

Conversions

1 m/s is equivalent to:

= 3.6 km/h (exactly)[3]
≈ 3.2808 feet per second (approximately)[4]
≈ 2.2369 miles per hour (approximately)[5]
≈ 1.9438 knots (approximately)[6]

1 foot per second = 0.3048 m/s (exactly)[7]

1 mile per hour = 0.44704 m/s (exactly)[8]

km/h = 0.27 m/s (exactly)[9]

Relation to other measures

The benz, named in honour of Karl Benz, has been proposed as a name for one metre per second.[10] Although it has seen some support as a practical unit,[11] primarily from German sources,[10] it was rejected as the SI unit of velocity[12] and has not seen widespread use or acceptance.[13]

Unicode character

The "metre per second" symbol is encoded by Unicode at code point U+33A7 SQUARE M OVER S.[14]

See also

References

  1. ^ "Definitions of the SI base units". physics.nist.gov. 29 May 2019. Retrieved 8 February 2022.
  2. ^ "SI brochure, Section 5.1". Archived from the original on 2019-03-21. Retrieved 2018-06-08.
  3. ^ CDX Automotive (2013). South African Automotive Light Vehicle Level 3. Jones & Bartlett Learning. p. 478. ISBN 978-1449697853.
  4. ^ Dinçer, İbrahim; Rosen, Marc A. (2007). EXERGY: Energy, Environment and Sustainable Development. Amsterdam: Elsevier. p. 444. ISBN 9780080531359. OCLC 228148217.
  5. ^ Jazar, Reza N. (2017). Vehicle Dynamics: Theory and Application (3. ed.). Cham, Switzerland: Springer. p. 957. ISBN 9783319534411. OCLC 988750637.
  6. ^ Collinson, R.P.G. (2013). Introduction to Avionics Systems (2. ed.). Boston: Springer Science & Business Media. p. 16. ISBN 9781441974662. OCLC 861706692.
  7. ^ Potter, Merle C; Wiggert, David C; Ramadan, Bassem H. (2016). Mechanics of Fluids, SI Edition (5. ed.). Cengage Learning. p. 722. ISBN 978-1305887701.
  8. ^ Das, Braja M.; Kassimali, Aslam; Sami, Sedat (2010). Mechanics for Engineers: Statics. Ft. Lauderdale, FL: J. Ross Publishing. p. 556. ISBN 9781604270297. OCLC 419827343.
  9. ^ Wright, Gus (2015). Fundamentals of medium/heavy duty diesel engines. Burlington, Massachusetts: Jones & Bartlett Publishers. p. 1349. ISBN 9781284067057. OCLC 927104266.
  10. ^ a b Klein HA. (2011). The Science of Measurement: A Historical Survey. Dover Publications. p. 695. ISBN 978-0486258393.
  11. ^ Heijungs R. (2005). "On the Use of Units in LCA". The International Journal of Life Cycle Assessment. 10 (3): 174. doi:10.1065/lca2005.02.199. S2CID 110961104.
  12. ^ Cardarelli F. (2004). Encyclopaedia of Scientific Units, Weights and Measures: Their SI Equivalences and Origins. Transl. by MJ Shields. (3rd revised ed.). Springer. p. 217. ISBN 978-1852336820.
  13. ^ Dresner S. (1974). Units of Measurement: An Encyclopaedic Dictionary of Units Both Scientific and Popular and the Quantities They Measure. Harvey Miller and Medcalf. p. 13. ISBN 978-0-85602-036-0.
  14. ^ Unicode Consortium (2019). "The Unicode Standard 12.0 – CJK Compatibility ❰ Range: 3300—33FF ❱" (PDF). Unicode.org. Retrieved May 24, 2019.