The rate of work by a force is known as power.
The measurement of power is the work done in 1 second by a force.
Let, a force F completes a work w in t seconds. Then the total work done in 1 second is w/t.
Thus power spent by a source depends on two factors:
The power of the force cannot measure by the volume of the work, but also how much time taken to finish of that work. As power has no direction. So, it is a scalar quantity.
Work |
Power |
Work done by a force is equal to product of force and displacement of applied point of the force towards the direction of force. |
Power of source is the rate of doing work by it. |
Work done does not depend on time. |
Power is depend of time. |
S.I. unit of work is joule(J) |
S.I. unit of power is watt(W) |
S.I. Unit: The S.I unit of the power is watt (W).
If 1 joule of work is done in one second, power spent is said to be 1 watt.
Multiple unit of the power are
Sub multiple units of power are
C.G.S Unit: The C.G.S unit of the power is erg per second (erg s^{-1}).
Relationship between the S.I. unit and C.G.S unit
1 W = 1 J s^{-1} = 10^{7} erg s^{-1}
F.P.S Unit: The F.P.S unit of the power is Horse Power (HP). It is a unit of power which is widely used in mechanical engineering.
The total power need to move a body of mass 550 pound upward 1 foot in 1 second is measured as 1 horse power.
1HP = 746 watt
1 kW = 1.34 HP