A technician needs to estimate the cost of operating a 5 horsepower motor. What is the equivalent energy consumption in kilowatt hours for a 5 horsepower motor running for 9 hours?

To determine the equivalent energy consumption of a 5 horsepower motor running for 9 hours in kilowatt hours (kWh), it's essential to know the relationship between horsepower and kilowatts.

1 horsepower is equivalent to approximately 0.746 kilowatts. Therefore, to convert 5 horsepower into kilowatts, you would multiply 5 by 0.746. This calculation gives you about 3.73 kilowatts.

Next, to find the energy consumption in kilowatt hours, you multiply the power in kilowatts by the number of hours the motor operates. For a 5 horsepower motor running for 9 hours, the calculation would be:

3.73 kW * 9 hours = 33.57 kWh.

Rounding this value gives approximately 33.6 kWh, making it the correct answer.

This calculation highlights the conversion factors and the method to accurately estimate energy consumption over time, which is crucial for budgeting and understanding operating costs for electrical equipment.