What is the annual cost to operate a motor for 5000 run-hours at a rate of $0.17 per kWh?

What is the annual cost to operate a motor for 5000 run-hours at a rate of $0.17 per kWh?

• A. 850.00
• B. 425.00
• C. 140.00
• D. 238.00

Answer: (A)

To determine the annual cost to operate a motor for a specific number of run-hours, you need to consider both the power rating of the motor in kilowatts (kW) and the cost of electricity per kilowatt-hour (kWh). The calculation involves the following steps: 1. **Calculate the total energy consumption**: This is achieved by multiplying the motor's power rating (in kW) by the number of run-hours. If the motor is rated at, for example, 10 kW, then for 5000 run-hours, the energy consumed would be \(10 \, \text{kW} \times 5000 \, \text{hours} = 50,000 \, \text{kWh}\). 2. **Multiply the total energy consumption by the cost of electricity**: Given the rate of $0.17 per kWh, the annual cost would be \(50,000 \, \text{kWh} \times 0.17 \, \text{USD/kWh} = 8,500\, \text{USD}\). However, this implies that the given answer might have presumed a lower power rating for the motor. To confirm the answer of 850.00 as

To determine the annual cost to operate a motor for a specific number of run-hours, you need to consider both the power rating of the motor in kilowatts (kW) and the cost of electricity per kilowatt-hour (kWh). The calculation involves the following steps:

1. Calculate the total energy consumption: This is achieved by multiplying the motor's power rating (in kW) by the number of run-hours. If the motor is rated at, for example, 10 kW, then for 5000 run-hours, the energy consumed would be (10 , \text{kW} \times 5000 , \text{hours} = 50,000 , \text{kWh}).

2. Multiply the total energy consumption by the cost of electricity: Given the rate of $0.17 per kWh, the annual cost would be (50,000 , \text{kWh} \times 0.17 , \text{USD/kWh} = 8,500, \text{USD}).

However, this implies that the given answer might have presumed a lower power rating for the motor. To confirm the answer of 850.00 as