91Ó°ÊÓ

In order to calculate the work done by the motor,you will need to calculate the product of the power of the motor and the provided time.In the standard international system, work is expressed in Joule and power is expressed in Watt.

The relation between power (P) and work (W) for time (t)is given by:

\(P = \frac{W}{t}\)

\(W = P \times t\) … (i)

Given data:

The power of the motor is\(P = 2\;{\rm{hp}}\).

The time is\(t = 1\;{\rm{h}}\).

On plugging the values in the equation (i), you get:

\(\begin{aligned}W &= \left( {2\;{\rm{hp}} \times \frac{{746\;{\rm{W}}}}{{1\;{\rm{hp}}}}} \right)\left( {1\;{\rm{h}} \times \frac{{60 \times 60\;{\rm{s}}}}{{1\;{\rm{h}}}}} \right)\\W &= 5.37 \times {10^6}\;{\rm{J}}\end{aligned}\)

Thus,\(W = 5.37 \times {10^6}\;{\rm{J}}\)is the work done by the motor.