### Mechanical Power | Definition | Formula

**What is definition and formula of Mechanical Power?**

It is the rate of doing work or workdone per unit time. In S.I. system of units, the unit of power is watt (briefly written as W) which is equal to 1N-m / s or 1J/s. Generally a bigger unit of power called kilowatt (briefly written as kW) is-used which is equal to 1000W.

**Note:**If T is the torque transmitted in N-m or J and Ï‰ is the angular speed in rad/s, then
Power = T.Ï‰

where N = Speed in r.p.m.

Power in mechanical systems is the combination of forces and movement. In particular, power is the product of a force on an object and the object's velocity, or the product of a torque on a shaft and the shaft's angular velocity.

Mechanical power is also described as the time derivative of work. In mechanics, the work done by a force F on an object that travels along a curve C is given by the line integral:

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