Pythagorean comma

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my page - www.hostgator1centcoupon.info Template:Two other uses The pound or pound force (symbol: lb, lb_f, lbf) is a unit of force in some systems of measurement including English engineering units and British gravitational units.

Definitions

The pound-force is equal to the gravitational force exerted on a mass of one avoirdupois pound on the surface of Earth. Since the 18th century, the unit has been used in low-precision measurements, for which small changes in Earth's gravity (which varies from place to place by up to half a percent) can safely be neglected.

The 20th century, however, brought the need for a more precise definition. A standardized value for acceleration due to gravity was therefore needed. Today, in accordance with the General Conference on Weights and Measures, standard gravity is usually taken to be 9.80665 m/s² (32.174 049 ft/s²).

The acceleration of the standard gravitational field (g_n) and the international avoirdupois pound (lbm) define the pound-force as:

$\begin{array}{rl}1\mathrm{l}\mathrm{b}\mathrm{f}& =1\mathrm{l}\mathrm{b}\mathrm{m}\times g_{\mathrm{n}}\\ & =1\mathrm{l}\mathrm{b}\mathrm{m}\times 32.174049\frac{ft}{s^2}\\ & =32.174049\frac{ft\cdot lbm}{s^2}\end{array}$

$\begin{array}{r}or\end{array}$

$\begin{array}{rl}1\mathrm{l}\mathrm{b}\mathrm{f}& =0.45359237\mathrm{k}\mathrm{g}\times 9.80665\frac{m}{s^2}\\ & =4.4482216152605\mathrm{N}\text{ (exact)}\end{array}$

This definition can be rephrased in terms of the slug. A slug has a mass of 32.174049 lbm. A pound-force is the amount of force required to accelerate a slug at a rate of 1 ft/s², so:

$1\mathrm{l}\mathrm{b}\mathrm{f}=1\mathrm{s}\mathrm{l}\mathrm{u}\mathrm{g}\times 1\frac{ft}{s^2}$

$=1\mathrm{s}\mathrm{l}\mathrm{u}\mathrm{g}\frac{ft}{s^2}$

Conversion to other units

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Foot-pound-second (FPS) systems of units

In some contexts, the term "pound" is used almost exclusively to refer to the unit of force and not the unit of mass. In those applications, the preferred unit of mass is the slug, i.e. lb_f·s²/ft. In other contexts, the unit "pound" refers to a unit of mass. In circumstances where there may otherwise be ambiguity, the symbols "lb_f" and "lb_m" and the terms "pounds-force" and "pounds-mass" can be used to distinguish.

Template:GravEngAbs In the gravitational systems, the weight of the mass unit (pound-mass) on Earth's surface is approximately equal to the force unit (pound-force). 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—the use of Newton's Second Law, F = m·a, requires another factor, g_c, usually taken to be 32.174049 lb_m·ft/lb_f·s² = 32.174049 lb_m/slug. "Absolute" systems are coherent systems of units: by using the slug as the unit of mass, the "engineering" FPS system avoids the need for such a constant. The SI is an "absolute" metric system with kilogram and meter as base units...

See also

Organisational Psychologist Alfonzo Lester from Timmins, enjoys pinochle, property developers in new launch singapore property and textiles. Gets motivation through travel and just spent 7 days at Alejandro de Humboldt National Park.

• Foot-pound (energy)
• Ton-force
• Kip (unit)
• Mass in general relativity
• Mass in special relativity
• Mass versus weight for the difference between the two physical properties
• Newton
• Poundal
• Pounds per square inch, a unit of pressure

42 year-old Environmental Consultant Merle Eure from Hudson, really loves snowboarding, property developers in new launch ec singapore and cosplay. Maintains a trip blog and has lots to write about after visiting Chhatrapati Shivaji Terminus (formerly Victoria Terminus).

Notes and references

• Obert, Edward F., “THERMODYNAMICS”, D.J. Leggett Book Company Inc., New York 1948; Chapter I, Survey of Dimensions and Units, pages 1-24.

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