Work Done by a Motor Calculation Challenge

How to calculate the work done by a motor in one rotation?

A motor of half HP runs at 500 rpm with an efficiency of 60%. What is the work done by the motor in one rotation?

Calculating the Work Done by a Motor in One Rotation

To calculate the work done by the motor in one rotation, you first need to convert the motor power from half HP to watts. Then, using the efficiency of the motor, you can determine the work done by the motor in one rotation.

When calculating the work done by a motor in one rotation, you can use the formula:

Work = Power * Time

First, convert the motor power from half HP to watts:

1 HP = 746 watts

0.5 HP = 0.5 * 746 = 373 watts

Next, calculate the power input by dividing the power output by the efficiency:

Power input = Power output / Efficiency

Power input = 373 watts / 0.60 = 622 watts

Calculate the time for one rotation:

Time for one rotation = 1 / (500 rpm / 60) = 0.12 seconds

Now, determine the work done by the motor in one rotation:

Work done by the motor in one rotation = 622 watts * 0.12 seconds = 74.64 Joules

By following these steps, you can accurately calculate the work done by a motor in one rotation.