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This is convenient because one pound mass exerts one pound force due to gravity. Note, however, unlike the other systems the force unit is not equal to the mass unit multiplied by the acceleration unit [ 11 ] —the use of Newton's second law , F = m ⋅ a , requires another factor, g c , usually taken to be 32.174049 (lb⋅ft)/(lbf⋅s 2 ).
Units for other physical quantities are derived from this set as needed. In English Engineering Units, the pound-mass and the pound-force are distinct base units, and Newton's Second Law of Motion takes the form = where is the acceleration in ft/s 2 and g c = 32.174 lb·ft/(lbf·s 2).
In unit systems where force is a derived unit, like in SI units, g c is equal to 1. In unit systems where force is a primary unit, like in imperial and US customary measurement systems , g c may or may not equal 1 depending on the units used, and value other than 1 may be required to obtain correct results. [ 2 ]
≈ 0.031 081 lb F ≡ 1 lb⋅ ft /s 2 The value of g n ( 9.806 65 m/s 2 ) as used in the official definition of the kilogram-force is used here for all gravitational units.
Systems of measure either define mass and derive a force unit or define a base force and derive a mass unit [1] (cf. poundal, a derived unit of force in a mass-based system). A slug is defined as a mass that is accelerated by 1 ft/s 2 when a net force of one pound (lbf) is exerted on it.
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A force capable of giving a mass of one kilogram an acceleration of one metre per second per second. [32] = 1 N = 1 kg⋅m/s 2: ounce-force: ozf ≡ g 0 × 1 oz = 0.278 013 850 953 781 25 N: pound-force: lbf: ≡ g 0 × 1 lb = 4.448 221 615 2605 N: poundal: pdl ≡ 1 lb⋅ft/s 2 = 0.138 254 954 376 N: short ton-force: tnf [citation needed] ≡ ...