A scale measures the weight of an object, which is its mass times the acceleration of gravity and has units of Newtons (kg m/s^2).
W = F = mg
In this case, 1 kg force equals 9.80665 Newtons of force. The mass of the object is:
m = W/g
which results in units of kg.
g is equal to 9.80665 m/s^2 or 32.164 ft/s^2
In Imperial units, the mass is in slugs and the force (weight) in pounds-force. 1 slug is 1 lbf s^2 / ft.
pounds-force vs pound-mass:
In gravity at the surface of the earth, the two are equal. 1 pound-mass exerts 1 pound-force due to gravity. However, using F=ma will result in:
1 lbf = 1 lbm 32.174 ft/s^2
So another factor, g_c, is set equal to 32.174 lbm/slug and used to make 1 lbm = 1 lbf:
1 lbf = ( 1 lbm 32.174 ft/s^2 ) / ( 32.174 lbm / slug)
Last Updated (Friday, 24 February 2012 17:19)
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