Tellegen's theorem: Difference between revisions

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'''Specific force''' is defined as the non-gravitational [[force]] per unit [[mass]].
:<math>\mbox{Specific Force} = \frac{\mathrm{Force_{non-gravitational}}}{{\mathrm{Mass}}}</math>


Specific force (also called [[g-force]] and mass-specific force) is measured in [[Metre per second squared|meters/second²]] (m·s<sup>−2</sup>) which is the units for acceleration. Thus, specific force is not actually a force, but a type of acceleration. However, the (mass-)specific force is not a coordinate-acceleration, but rather a [[proper acceleration]], which is the acceleration relative to free-fall. Forces, specific forces, and [[proper acceleration]]s are the same in all reference frames, but coordinate accelerations are frame-dependent. For free bodies, the specific force is the cause of, and a measure of, the body's [[proper acceleration]].


The [[g-force]] acceleration is the same as the specific force. The acceleration of an object free falling towards the earth depends on the reference frame (it disappears in the free-fall frame, also called the inertial frame), but any g-force "acceleration" will be present in all frames. This specific force is zero for freely-falling objects, since gravity acting alone does not produce g-forces or specific forces.
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Accelerometers on the surface of the Earth measure a constant 9.8&nbsp;m/s^2 even when they are not accelerating (that is, when they do not undergo coordinate acceleration). This is because accelerometers measure the proper acceleration produced by the g-force exerted by the ground (gravity acting alone never produces g-force or specific force). Accelerometers measure specific force ([[proper acceleration]]), which is the acceleration relative to free-fall,<ref>http://www.strapdownassociates.com/Accels%20Measure.pdf</ref> not the "standard" acceleration that is relative to a coordinate system.
 
==Hydraulics==
In open channel [[hydraulic engineering|hydraulics]], specific force (<math>F_s</math>) has a different meaning:
 
:<math>F_s = \frac{Q^2}{gA} + zA</math>
 
where Q is the discharge, g is the acceleration due to gravity, A is the cross-sectional area of flow, and z is the depth of the centroid of flow area A.<ref>Chaudhry, M. Hanif "Open Channel Flow" 2nd Ed. (2008) pg.31 ISBN 978-0-387-30174-7</ref>
 
==See also==
*[[Acceleration]]
*[[Proper acceleration]]
 
== References ==
{{Reflist}}
 
[[Category:Physical quantities]]
[[Category:Hydraulic engineering]]
[[Category:Acceleration]]
 
 
{{physics-stub}}

Latest revision as of 23:47, 31 July 2014


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