What is the energy consumed by a 1.0-hp motor running for 1.0 hour?
The energy consumed by a 1.0-hp motor running for 1.0 hour, after converting horsepower to watts, would be approximately 2,972,447 joules of energy. To calculate this, we need to convert the horsepower to watts and then multiply the power by the time the motor runs.
Converting Horsepower to Watts
1 hp = 746 W
To calculate the energy consumed by the motor, we first convert the power of the motor from horsepower to watts. We know that 1 horsepower is equal to 746 watts, so for a 1.0-hp motor:
1.0 hp × 746 W/hp = 746 W
Now we have the power of the motor, which is 746 watts.
Calculating Energy Consumed
To find the energy consumed by the motor running for 1.0 hour, we multiply the power by the time:
Energy consumed = Power × Time
Energy consumed = 746 W × 1.0 h
Energy consumed = 746 J/s × 3600 s
Energy consumed = 2,972,447 J
Therefore, a 1.0-hp motor running for 1.0 hour would consume approximately 2,972,447 joules of energy.