The rate of work done with respect to time is called power. That is the work done in unit time is power. So the power of a machine will be just by the work done in unit time.
The rate of doing work with respect to time is called power.
Power=\(\frac{Work}{Time}\)
or Work=Power \(\times\) time
Unit of Power:
In the CGS system, the unit is erg/s
In the International System of Units (SI), power is measured in watts, which is equivalent to one joule per second (J/s).
1 watt=1 J/s
=\(10^{7}\) erg/s
The power of a machine is 500 watt means that the machine can perform 500 J of work in a 1s.
A machine rated at 1 kilowatt (kW) is capable of doing 1000 joules of work every second.
Gravitational unit of work:
In the CGS (centimeter-gram-second) system, the unit is gram centimeter per second (g·cm/s).
In the SI system, the unit is kg.m/s
Relation between g.cm/s and erg/s is
1g.cm/s=980 erg/s
Relation between g.cm/s and erg/s is
1kg.m/s=9.8 J/s
While work is independent of time, power is time-dependent. Power is defined as the amount of work done in a unit of time.
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