How Much Work Can a 6.0 HP Motor Do in 3.0 Hours?

What is the formula to calculate the work done by a motor?

To calculate the work done by a motor, which has a power of 6.0 hp and operates for 3.0 hours, what formula should be used?

Formula to Calculate Work Done by a Motor

The work done by a motor can be calculated using the formula W = P * t, where W represents work, P represents power, and t represents time.

When determining the work done by a motor, it is essential to consider the power of the motor and the duration for which it operates. In this case, the 6.0 hp motor operates for 3.0 hours, so we can use the formula:

W = P * t

Where:

W = Work done by the motor

P = Power of the motor (6.0 hp)

t = Time the motor operates (3.0 hours)

First, we convert the horsepower (hp) to watts (W) since the formula requires power in watts. 1 hp is approximately 745.7 watts, so the power of the motor is:

P = 6.0 hp * 745.7 W/hp

P ≈ 4474.2 W

Next, we can calculate the work done by the motor using the formula:

W = 4474.2 W * 3.0 h

W ≈ 13422.6 Wh (watt-hours)

Finally, to convert watt-hours to joules (J), we multiply by 3600 since there are 3600 seconds in an hour:

W = 13422.6 Wh * 3600 J/Wh

W ≈ 48330360 J

Therefore, the 6.0 hp motor can do approximately 48,330,360 joules of work in 3.0 hours. It is crucial to understand the power and duration of operation when determining the work capacity of a motor.