Electric Motor Efficiency Calculation

What is the current delivered to the motor?

a) 15.367 A

How much energy is delivered to the motor by electrical transmission in 3.80 hours of operation?

b) 25.226 MJ

What is the cost to run the motor for 3.80 hours?

c) 0.771 USD

Current delivered to the motor:

a) 15.367 A

Energy delivered to the motor in 3.80 hours:

b) 25.226 MJ

Cost to run the motor for 3.80 hours:

c) 0.771 USD

The efficiency of an electric motor can be calculated based on the mechanical power output, voltage source, and efficiency percentage. In this case, the current delivered to the motor is 15.367 A, the energy delivered to the motor in 3.80 hours of operation is 25.226 MJ, and the cost to run the motor for the same duration is 0.771 USD.

To determine the current delivered to the motor, we use the formula:

i = (2.20 hp) x (0.746 kW/hp) x (1000 W/kW) / (0.89 x 120 V)

After calculation, the current delivered to the motor is 15.367 A.

Next, to calculate the energy delivered to the motor in 3.80 hours, we use the formula:

E = (1844.04 W) x (3.80 h) x (3600 s/h) x (1 MJ / 1000000 J)

After computation, the energy delivered to the motor is 25.226 MJ.

Finally, to find the cost to run the motor for 3.80 hours, we use the formula:

C = (0.110 USD/kWh) x (25.226 MJ) x (0.278 kWh/MJ)

After solving, the cost to run the motor for 3.80 hours is 0.771 USD.