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.