Power

Mathematics

The number of times a number or expression is multiplied by itself, for which the symbol is an index or exponent. For example, is the fourth power of x.




Anything raised to the power of 0 is equal to 1, including 0 to the power of 0.

Other notation used to denote x raised to the power of n, xn = x^n = x**n

Mechanical Engineering

Power is defined as the rate of doing work. The SI unit of power is the watt or joules per second.

It may also be determined by

where
P = Power [Js-1 or W]
F = Force [N]
v = velocity [ms-1]
Conversions
1 ft lbfs-1=1.356 W 1 ft lbf min-1=0.0226 W
1 horsepower=550 ft lbfs-1 1 horsepower=745.7 W
1 ft poundal sec=0.0421 W


Examples
Family car (100PS)7.4x104 W
Sun energy production3.9x1026 W

See also: Active Power, Brake Horse Power, Cheval Vapeur, Horsepower, Motive Power, Power to Weight Ratio, Prony, SI Units, Torque to Power, True Power.

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Subjects: Physics