What is the monthly operating cost of a motor that draws 15 amps on 120 volts, with an 85% power factor, running 16 hours per day at $0.10 per kWh?

To determine the monthly operating cost of the motor, you'll first need to calculate its power consumption in kilowatts and then use that to find the total energy consumption in kilowatt-hours (kWh) for the month.

Start with the formula for power in kilowatts:

Power (kW) = Voltage (V) × Current (A) × Power Factor / 1000

Substituting the given values:

Power (kW) = 120 V × 15 A × 0.85 / 1000 = 1.62 kW

Next, calculate the daily energy consumption. The motor runs for 16 hours per day:

Daily Energy (kWh) = Power (kW) × Hours

Daily Energy = 1.62 kW × 16 hours = 25.92 kWh

To find the monthly consumption, multiply the daily energy by the number of days in a month (assuming 30 days):

Monthly Energy = Daily Energy (kWh) × 30 = 25.92 kWh × 30 = 777.6 kWh

Now, multiply the total kWh by the cost per kWh to find the monthly operating cost:

Monthly Operating Cost = Monthly Energy (