User:Milton Beychok/Sandbox2: Difference between revisions

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The '''pound-force''' (symbol: '''lbf'''&thinsp;<ref name=lbf group=Note/>&thinsp;) is a [[measurement]] unit of [[force]] which will [[acceleration|accelerate]] 1 [[Pound (mass)|pound]] of [[mass]] to 9.80665 [[metre|m]]/[[second|s]]<sup>2</sup> (≈&thinsp;32.17405 [[foot|ft]]/[[second|s]]<sup>2</sup>), the standard average [[acceleration due to gravity]] on [[Earth]]'s surface (referred to as '''''g<sub>n</sub>'''''&thinsp;<ref name=GCPM3/>). It is used primarily in the [[United States]] and is equivalent to exactly 4.4482216152605 [[newton]]s.
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In common usage and other contexts, it is most often referred to in the United States as a '''''pound''''' or as '''''lb''''', but this can lead to  confusion with the [[pound (mass)|pound-mass]].
 
==Definition in terms of the SI unit of force==
 
The newton (symbol: N) is the unit of force named in the [[International System of Units]] (SI). Using the standard average acceleration due to gravity, denoted '''''g<sub>n</sub>''''', as being 9.80665 m/s<sup>2</sup><ref name=GCPM3/> and the internationally agreed upon definition of the pound-mass, denotes as '''''lbm''''', as being 0.45359237 kg<ref name=NBS/>, we have:
 
:<math>\begin{align}1\,\mathrm{lbf} &= 1\,\mathrm{lbm} \cdot g_n \\
&= 0.45359237\,\mathrm{kg} \cdot 9.80665\,\mathrm{\tfrac{m}{s^2}}\\
&= 4.4482216152605\,\mathrm{N} (exactly)\end{align}</math>
 
==Notes==
{{Reflist|group=Note|refs=
 
<ref name=lbf group=Note>The symbol '''lbf''' is derived from the Latin ''libra'' for "pound" and the symbol ''f'' for "force")</ref>
}}
 
==References==
 
{{Reflist|refs=
 
<ref name=GCPM3>[http://www.bipm.org/en/CGPM/db/3/2/ Resolution of the 3rd meeting of the CGPM (1901)]</ref>
 
<ref name=NBS>[http://physics.nist.gov/Pubs/SP447/app8.pdf Appendix 8, Customary System of Weights and Measures] [[U.S. Dept. of Commerce]], Appendix 8, July 15, 1968.</ref>
}}

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