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|+ Three approaches to {{{system|}}} units of mass and force or weight<ref>{{cite journal |
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|+ Three approaches to {{{system|}}} mass and force<!-- and pressure--> units<ref name="lindeburg">{{cite book |author=Michael R. Lindeburg |coauthors= |title=Civil Engineering Reference Manual for the Pe Exam |year=2011 |publisher=Professional Publications |isbn=1591263417 }}</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> |
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|last=Comings|first=E. W. |
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|title=English Engineering Units and Their Dimensions|journal=Industrial & Engineering Chemistry |
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|date=1940|volume=32|issue=7|pages=984–987 |
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⚫ | |||
|doi=10.1021/ie50367a028 |
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}}</ref><ref>{{cite journal |
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|last=Klinkenberg|first=Adrian |
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|title=The American Engineering System of Units and Its Dimensional Constant g{{sub|c}}|journal=Industrial & Engineering Chemistry |
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|date=1969|volume=61|issue=4|pages=53–59 |
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|doi=10.1021/ie50712a010 |
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}}</ref> |
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! [[ |
!span="col" | [[Newton's laws of motion|2nd law of motion]] |
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!span="col" colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''m'' = {{sfrac|''F''|''a''}}}} |
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!span="col" colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''F'' = {{sfrac|''W'' ⋅ ''a''|''g''}}}} |
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!span="col" colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| {{math|1=''F'' = ''m'' ⋅ ''a''}} |
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!span="col" | System |
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! Weight (''w'') |
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!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]]}} |
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|colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''w'' = ''m''⋅''g''}} |
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!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?-->}} |
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|colspan={{#if:{{{system|}}}|1|2}}| {{math|1=''w'' = ''m''⋅{{sfrac|''g''|''g''<sub>c</sub>}} ≙ ''m''}} |
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!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]]}} |
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|colspan={{#switch:{{{system|}}}|English|Imperial|US|FPS=1|international|metric|SI=3|#default|=4}}| {{math|1=''w'' = ''m''⋅''g''}} |
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!scope="row"| [[Acceleration]] (''a'') |
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! System |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s{{sup|2}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s{{sup|2}}}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=ft/s{{sup|2}}}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=m/s{{sup|2}}}} |
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| {{#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}}}} |
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! |
!scope="row"| [[Mass]] (''m'') |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|= |
| {{#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]]}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|= |
| {{#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}}}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|= |
| {{#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}}]]}} |
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!scope="row"| [[Force]] (''F''),<br> [[weight]] (''W'') |
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! Mass (''m'') |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}" |
| {{#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}}]]}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound- |
| {{#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}}}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}" |
| {{#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}}]]}} |
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|- |
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! |
!scope="row"| [[Pressure]] (''p'') |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound ( |
| {{#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}}]]}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force"{{!}} [[pound-force |
| {{#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}}]]}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"poundal"{{!}} |
| {{#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}}]]}} |
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|- |
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! Pressure (''p'') |
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| {{#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]]}} |
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| {{#switch:{{{system|}}}|English|Imperial|US|FPS|=title{{=}}"pound-force per square inch"{{!}} <!--lb<sub>''F''</sub>/in<sup>2</sup>--> lbf/in<sup>2</sup>}} {{#if:{{{system|}}}||{{!}}{{!}}}} {{#switch:{{{system|}}}|international|metric|SI|=title{{=}}"standard atmosphere"{{!}} [[atmosphere (unit)|atm]]}} |
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| {{#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]]}} |
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|}<noinclude> |
|}<noinclude> |
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{{reflist}} |
{{reflist}} |
Latest revision as of 17:27, 3 July 2021
Base | Force | Weight | Mass | |||||
---|---|---|---|---|---|---|---|---|
2nd law of motion | m = F/a | F = W ⋅ a/g | F = m ⋅ a | |||||
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 |
- ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
- ^ 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.
Usage
[edit]Table of the three approaches to mass, force and weight in measurement systems.
Parameter | Description | Type | Status | |
---|---|---|---|---|
Systems to show | system | This parameter allows to restrict the table to either ‘metric’ or ‘English’ units, ‘both’ are shown by default.
| Line | optional |
Show unit symbols | symbols | This parameter if set to anything replaces the unit names by their symbols.
| Line | optional |
See the /testcases subpage for the results of the system parameter.
Examples
[edit]{{GravEngAbs|system=English|symbols=true}}
Base | Force | Weight | Mass |
---|---|---|---|
2nd law of motion | m = F/a | F = W ⋅ a/g | F = m ⋅ a |
System | British Gravitational (BG) | English Engineering (EE) | Absolute English (AE) |
Acceleration (a) | ft/s2 | ft/s2 | ft/s2 |
Mass (m) | slug | lbm | lb |
Force (F), weight (W) |
lb | lbF | pdl |
Pressure (p) | lb/in2 | psi | pdl/ft2 |
{{GravEngAbs|system=metric|symbols=true}}
Base | Force | Weight | Mass | ||
---|---|---|---|---|---|
2nd law of motion | m = F/a | F = W ⋅ a/g | F = m ⋅ a | ||
System | GM | M | CGS | MTS | SI |
Acceleration (a) | m/s2 | m/s2 | Gal | m/s2 | m/s2 |
Mass (m) | hyl | kg | g | t | kg |
Force (F), weight (W) |
kp | kp | dyn | sn | N |
Pressure (p) | at | atm | Ba | pz | Pa |
Labels
[edit]Abbreviation | Name |
---|---|
BG | British Gravitational System |
GM | Gravitational metric system |
EE | English Engineering Units |
M | Metric system |
AE | Absolute English System |
CGS | centimetre–gram–second system of units |
MTS | metre–tonne–second system of units |
SI | International System of Units (French: Système international) |
Mass | Force | Weight |
---|---|---|
science | engineering | |
scientific | technical | colloquial |
absolute | gravitational | |
coherent | incoherent |
The template table previously included rows that provided common labels or descriptions for the three approaches, as seen in this table. (Note that columns are not in the same order as in the template itself.) This was deemed inappropriate and should be discussed in surrounding prose where necessary.
- ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
- ^ 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.
- ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
- ^ 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.