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{| class="wikitable"
{| class="wikitable"
|+ Three approaches to {{{system|}}} units of mass and force or weight<ref>{{cite journal
|+ Three approaches to {{{system|}}} mass and force<!-- and pressure--> units<ref name="lindeburg">{{citation|last=Lindeburg|first=Michael|title=Civil Engineering Reference Manual for the PE Exam}}</ref><ref name="wurbs">{{citation|last=Wurbs|first=Ralph A|title=Fort Hood Review Sessions for Professional Engineering Exam|url=http://engineeringregistration.tamu.edu/tapedreviews/Fluids-PE/PDF/Fluids-PE.pdf|accessdate=October 26, 2011}}</ref>
|last=Comings|first=E. W.
! {{Navbar|GravEngAbs|mini=1}}Base <!--units-->
|title=English Engineering Units and Their Dimensions|journal=Industrial & Engineering Chemistry
!colspan={{#if:{{{system|}}}|1|2}}| force, length, time
|date=1940|volume=32|issue=7|pages=984–987
!colspan={{#if:{{{system|}}}|1|2}}| weight, length, time
|doi=10.1021/ie50367a028
!colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| mass, length, time
}}</ref><ref>{{cite journal
|last=Klinkenberg|first=Adrian
|title=The American Engineering System of Units and Its Dimensional Constant g{{sub|c}}|journal=Industrial & Engineering Chemistry
|date=1969|volume=61|issue=4|pages=53–59
|doi=10.1021/ie50712a010
}}</ref>
!span="col"| {{Navbar|GravEngAbs|mini=1}} Base
!span="col" colspan={{#if:{{{system|}}}|1|2}} title="force, length, time: gravitational or technical"| Force
!span="col" colspan={{#if:{{{system|}}}|1|2}} title="weight, length, time: engineering"| Weight
!span="col" colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}} title="mass, length, time: absolute or dynamical"| Mass
|-
|-
! [[Newton’s laws of motion|Force]] (''F'')
!span="col" | [[Newton's laws of motion|2nd law of motion]]
|colspan={{#if:{{{system|}}}|1|2}}| {{math|'' F {{=}} m·a {{=}} {{sfrac|a|g}} ''}}
!span="col" colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''m'' = {{sfrac|''F''|''a''}}}}
|colspan={{#if:{{{system|}}}|1|2}}| {{math|'' F {{=}} {{sfrac|a|g<sub>c</sub>}} {{=}} w·{{sfrac|a|g}} ''}}
!span="col" colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''F'' = {{sfrac|''W'' &sdot; ''a''|''g''}}}}
|colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| {{math|'' F {{=}} m·a {{=}} w·{{sfrac|a|g}} ''}}
!span="col" colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| {{math|1=''F'' = ''m'' &sdot; ''a''}}
|-
|-
!span="col" | System
! Weight (''w'')
!span="col" width="{{#if:{{{system|}}}|28%|14%}}"| {{#switch:{{{system|}}}|English|Imperial|US|FPS=[[British Gravitational System|British Gravitational (BG)]]|=[[British Gravitational System|BG]]}} {{#if:{{{system|}}}||!!width="14%"{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=[[Gravitational metric system|GM]]}}
|colspan={{#if:{{{system|}}}|1|2}}| {{math|'' w {{=}} m·g ''}}
!span="col" width="{{#if:{{{system|}}}|28%|14%}}"| {{#switch:{{{system|}}}|English|Imperial|US|FPS=[[English Engineering Units|English Engineering (EE)]]|=[[English Engineering Units|EE]]}} {{#if:{{{system|}}}||!!width="14%"{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=[[Metric system|M]]<!--name?-->}}
|colspan={{#if:{{{system|}}}|1|2}}| {{math|'' w {{=}} m·{{sfrac|g|g<sub>c</sub>}} ≈ m ''}}
!span="col" {{#switch:{{{system|}}}|English|Imperial|US|FPS=width{{=}}"28%"{{!}} [[Absolute English System|Absolute English (AE)]]|=width{{=}}"7%"{{!}} [[Absolute English System|AE]]}} {{#if:{{{system|}}}||!!}} {{#switch:{{{system|}}}|international|metric|SI|=width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[centimetre–gram–second system of units|CGS]] {{!}}{{!}}width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[metre–tonne–second system of units|MTS]] {{!}}{{!}}width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[International System of Units|SI]]}}
|colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| {{math|'' w {{=}} m·g ''}}
|-
|-
!scope="row"| [[Acceleration]] (''a'')
! System
!width="{{#if:{{{system|}}}|28%|14%}}"| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=[[British Gravitational System|BG]]}} {{#if:{{{system|}}}||!!width="14%"{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=[[Gravitational metric system|GM]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s{{sup|2}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s{{sup|2}}}}
!width="{{#if:{{{system|}}}|28%|14%}}"| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=[[English Engineering Units|EE]]}} {{#if:{{{system|}}}||!!width="14%"{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=[[Metric system|M]]<!--name?-->}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s{{sup|2}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s{{sup|2}}}}
! {{#switch:{{{system|}}}|English|Imperial|US|FPS|=width{{=}}"{{#if:{{{system|}}}|28%|7%}}"{{!}} [[Absolute English System|AE]]}} {{#if:{{{system|}}}||!!}} {{#switch:{{{system|}}}|international|metric|SI|=width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[centimetre-gram-second system of units|CGS]] {{!}}{{!}}width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[metre-tonne-second system of units|MTS]] {{!}}{{!}}width{{=}}"{{#if:{{{system|}}}|9%|7%}}"{{!}} [[International System of Units|SI]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s{{sup|2}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"gal, centimeter per second squared"{{!}} [[gal (unit)|{{#if:{{{symbols|}}}|Gal|Gal}}]] {{!}}{{!}} m/s{{sup|2}} {{!}}{{!}} m/s{{sup|2}}}}
|-
|-
! Acceleration (''a'')
!scope="row"| [[Mass]] (''m'')
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s<sup>2</sup>}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s<sup>2</sup>}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"slug"{{!}} [[slug (unit)|slug]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"hyl, also called “metric slug” or “TME”"{{!}} [[hyl (unit)|hyl]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s<sup>2</sup>}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s<sup>2</sup>}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-mass (lbm)"{{!}} {{#if:{{{symbols|}}}|{{lbm}}|pound-mass}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilogram, sometimes kilogram-mass (kgm)"{{!}} {{#if:{{{symbols|}}}|kg|kilogram}}}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s<sup>2</sup>}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"gal, cm/s²"{{!}} [[gal (unit)|Gal]] {{!}}{{!}} m/s<sup>2</sup> {{!}}{{!}} m/s<sup>2</sup>}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound (mass)"{{!}} [[pound (mass)|{{#if:{{{symbols|}}}|lb|pound}}]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"gram"{{!}} [[gram|{{#if:{{{symbols|}}}|g|gram}}]] {{!}}{{!}}title="ton(ne)"{{!}} [[tonne|{{#if:{{{symbols|}}}|t|tonne}}]] {{!}}{{!}}title="kilogram"{{!}} [[kilogram|{{#if:{{{symbols|}}}|kg|kilogram}}]]}}
|-
|-
!scope="row"| [[Force]] (''F''),<br> [[weight]] (''W'')
! Mass (''m'')
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"slug"{{!}} [[slug (mass)|slug]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"hyl, also called “metric slug” or “TME”"{{!}} [[hyl (unit)|hyl]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound (force)"{{!}} [[pound (force)|{{#if:{{{symbols|}}}|lb|pound}}]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilopond, also called “kilogram-force” (kgf) in English"{{!}} [[kilopond|{{#if:{{{symbols|}}}|kp|kilopond}}]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-mass"{{!}} [[pound-mass|lb<sub>''m''</sub>]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilogram"{{!}} [[kilogram|kg]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force (lbf)"{{!}} {{#if:{{{symbols|}}}|{{lbf}}|pound-force}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilopond (kp), sometimes kilogram-force (kgf)"{{!}} {{#if:{{{symbols|}}}|kp|kilopond}}}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound (mass)"{{!}} lb}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"gram"{{!}} g {{!}}{{!}}title="ton(ne)"{{!}} t {{!}}{{!}}title="kilogram"{{!}} kg}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"poundal"{{!}} [[poundal|{{#if:{{{symbols|}}}|pdl|poundal}}]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"dyne"{{!}} [[dyne|{{#if:{{{symbols|}}}|dyn|dyne}}]] {{!}}{{!}}title{{=}}"sthène"{{!}} [[sthène|{{#if:{{{symbols|}}}|sn|sthène}}]] {{!}}{{!}}title{{=}}"newton"{{!}} [[newton (unit)|{{#if:{{{symbols|}}}|N|newton}}]]}}
|-
|-
! Force (''F'')
!scope="row"| [[Pressure]] (''p'')
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound (force)"{{!}} lb}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilopond, also called “kilogram-force” (kgf) in English-speaking areas"{{!}} kp<!--kg-->}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound per square inch (psi)"{{!}} [[pound per square inch|{{#if:{{{symbols|}}}|lb/in{{sup|2}}|pound per square inch}}]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"technical atmosphere"{{!}} [[technical atmosphere|{{#if:{{{symbols|}}}|at|technical atmosphere}}]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force"{{!}} [[pound-force|lb<sub>''F''</sub>]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"kilopond, also called “kilogram-force” (kgf) in English-speaking areas"{{!}} [[kilopond|kp]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force per square inch"{{!}} [[pound per square inch|{{#if:{{{symbols|}}}|psi|pound-force per square inch}}]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"standard atmosphere"{{!}} [[Standard atmosphere (unit)|{{#if:{{{symbols|}}}|atm|standard atmosphere}}]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"poundal"{{!}} [[poundal|pdl]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"dyne"{{!}} [[dyne|dyn]] {{!}}{{!}}title{{=}}"sthene"{{!}} [[sthène|sn]] {{!}}{{!}}title{{=}}"newton"{{!}} [[newton (unit)|N]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"poundal per square foot"{{!}} {{#if:{{{symbols|}}}|pdl/ft{{sup|2}}|poundal per square foot}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"barye"{{!}} [[barye|{{#if:{{{symbols|}}}|Ba|barye}}]] {{!}}{{!}}title{{=}}"pieze"{{!}} [[pieze|{{#if:{{{symbols|}}}|pz|pieze}}]] {{!}}{{!}}title{{=}}"pascal"{{!}} [[pascal (unit)|{{#if:{{{symbols|}}}|Pa|pascal}}]]}}
|-
! Pressure (''p'')
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound per square inch (PSI)"{{!}} [[pounds per square inch|lb/in<sup>2</sup>]]}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"technical atmosphere"{{!}} [[technical atmosphere|at]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force per square inch"{{!}} <!--lb<sub>''F''</sub>/in<sup>2</sup>--> PSI}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"standard atmosphere"{{!}} [[atmosphere (unit)|atm]]}}
| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"poundal per square foot"{{!}} pdl/ft<sup>2</sup>}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"barye"{{!}} [[barye|Ba]] {{!}}{{!}}title{{=}}"pieze"{{!}} [[pieze|pz]] {{!}}{{!}}title{{=}}"pascal"{{!}} [[pascal (unit)|Pa]]}}
|}<noinclude>
|}<noinclude>

== Parameter ''system'' ==
{{GravEngAbs|system=metric}}
{{GravEngAbs|system=English}}
{{reflist}}
{{reflist}}
{{documentation}}
</noinclude>
</noinclude>

Latest revision as of 17:27, 3 July 2021

Three approaches to units of mass and force or weight[1][2]
Base Force Weight Mass
2nd law of motion m = F/a F = Wa/g F = ma
System BG GM EE M AE CGS MTS SI
Acceleration (a) ft/s2 m/s2 ft/s2 m/s2 ft/s2 Gal m/s2 m/s2
Mass (m) slug hyl pound-mass kilogram pound gram tonne kilogram
Force (F),
weight (W)
pound kilopond pound-force kilopond poundal dyne sthène newton
Pressure (p) pound per square inch technical atmosphere pound-force per square inch standard atmosphere poundal per square foot barye pieze pascal
  1. ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
  2. ^ Klinkenberg, Adrian (1969). "The American Engineering System of Units and Its Dimensional Constant gc". Industrial & Engineering Chemistry. 61 (4): 53–59. doi:10.1021/ie50712a010.
  1. ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
  2. ^ Klinkenberg, Adrian (1969). "The American Engineering System of Units and Its Dimensional Constant gc". Industrial & Engineering Chemistry. 61 (4): 53–59. doi:10.1021/ie50712a010.
  3. ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
  4. ^ Klinkenberg, Adrian (1969). "The American Engineering System of Units and Its Dimensional Constant gc". Industrial & Engineering Chemistry. 61 (4): 53–59. doi:10.1021/ie50712a010.