Slug (unit)
The slug is a unit of mass associated with Imperial units. It is a mass that accelerates by 1 ft/s2 when a force of one pound-force (lbF) is exerted on it.
With standard gravitation gc = 9.80665 m/s2, the international foot of 0.3048 m and the avoirdupois pound of 0.45359237 kg, one slug therefore has a mass of approximately 32.17405 lb or 14.593903 kg.[1] At the surface of the Earth, an object with a mass of 1 slug exerts a force of about 32.17 lbF or 143 N.[2][3]
History
The slug is part of a subset of units known as the gravitational FPS system, one of several such specialized systems of mechanical units developed in the late 19th and the 20th century. Geepound was another name for this unit in early literature.[4]
The name "slug", as a unit of inertia, was coined before 1900 by British physicist Arthur Mason Worthington,[5] but it did not see any significant use until decades later. A 1928 textbook says:
No name has yet been given to the unit of mass and, in fact, as we have developed the theory of dynamics no name is necessary. Whenever the mass, m, appears in our formulae, we substitute the ratio of the convenient force-acceleration pair (w/g), and measure the mass in lbs. per ft./sec.2 or in grams per cm./sec.2.
— Noel Charlton Little, College Physics, Charles Scribner’s Sons, 1928, p. 165.
Base | Force | Weight | Mass | |||||
---|---|---|---|---|---|---|---|---|
2nd law of motion | m = F/a | F = W ⋅ a/g | F = m ⋅ a | |||||
System | BG | GM | EE | M | AE | CGS | MTS | SI |
Acceleration (a) | ft/s2 | m/s2 | ft/s2 | m/s2 | ft/s2 | Gal | m/s2 | m/s2 |
Mass (m) | slug | hyl | pound-mass | kilogram | pound | gram | tonne | kilogram |
Force (F), weight (W) |
pound | kilopond | pound-force | kilopond | poundal | dyne | sthène | newton |
Pressure (p) | pound per square inch | technical atmosphere | pound-force per square inch | standard atmosphere | poundal per square foot | barye | pieze | pascal |
Similar units
The unit slinch (a portmanteau of the words slug and inch[8]) is an inch version of the slug (1 slinch = 1 lbf·s2/in = 12 slugs).[9] Slang terms for the slinch include the slugette.[10]
References
- ^ Shigley, Joseph E. and Mischke, Charles R. Mechanical Engineering Design, Sixth ed, pp. 18–19. McGraw Hill, 2006. ISBN 0-07-365939-8.
- ^ Shevell, R.S. Fundamentals of Flight, 2nd ed, p. xix. Prentice-Hall, 1989.
- ^ Beckwith, Thomas G., Roy D. Marangoni, et al. Mechanical Measurements, Fifth ed, pp. 34-36. Addison-Wesley Publishing, 1993. ISBN 0-201-56947-7.
- ^ [1]. unit2unit.eu
- ^ Worthington, Arthur Mason (1900). Dynamics of Rotation: An Elementary Introduction to Rigid Dynamics (3rd ed.). Longmans, Green, and Co. p. 9.
- ^ Comings, E. W. (1940). "English Engineering Units and Their Dimensions". Industrial & Engineering Chemistry. 32 (7): 984–987. doi:10.1021/ie50367a028.
- ^ Klinkenberg, Adrian (1969). "The American Engineering System of Units and Its Dimensional Constant gc". Industrial & Engineering Chemistry. 61 (4): 53–59. doi:10.1021/ie50712a010.
- ^ Miscellaneous
- ^ Slug - DiracDelta Science & Engineering Encyclopedia
- ^ Celmer, Robert. Notes to Accompany Vibrations II. Version 2.2. 2009.
External links
- Newtons, Slugs and Kilograms Force for a detailed mathematical explanation