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The pound of force or pound-force (symbol: lbf, [1] sometimes lb f, [2]) is a unit of force used in some systems of measurement, including English Engineering units [a] and the foot–pound–second system.
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).
Another variant of the FPS system uses both the pound-mass and the pound-force, but neither the slug nor the poundal. The resulting system is sometimes also known as the English engineering system . Despite its name, the system is based on United States customary units of measure; it is not used in England.
The pound or pound-mass is a unit of mass used in both the British imperial and United States customary systems of measurement.Various definitions have been used; the most common today is the international avoirdupois pound, which is legally defined as exactly 0.453 592 37 kilograms, and which is divided into 16 avoirdupois ounces. [1]
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. [2]
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The pound-force provides an alternative unit of mass: one slug is the mass that will accelerate by one foot per second squared when acted on by one pound-force. [58] An alternative unit of force in a different foot–pound–second system, the absolute fps system, is the poundal , defined as the force required to accelerate a one-pound mass at ...
Force required to accelerate a mass of one pound-mass by 1 ft/s 2: 0.1383 N Force pound force: lbf BGS, EEU: Force exerted on a mass of one pound due to gravity 4.448 N Mass slug: BGS mass which, when subjected to a force of one pound-force, accelerates by 1 ft/sec 2: 14.59 kg Mass pound-mass: lbm EEU