Motor Efficiency Comparison for Acme Chemical

Which electric motor should Acme Chemical choose for driving a mixing motor based on efficiency and cost?

Motor A

Motor B

Answer:

The answer is below

As energy costs continue to rise, power efficiency is increasingly important for companies like Acme Chemical. In this case, Acme Chemical needs to evaluate two different electric motors, Motor A and Motor B, to drive a mixing motor. The goal is to determine the most economical option based on the total cost of ownership.

Motor A has a purchase price of $3,200, an annual maintenance cost of $250, and an efficiency of 75%. Meanwhile, Motor B has a purchase price of $5,900, an annual maintenance cost of $450, and an efficiency of 85%.

To calculate the total cost for each motor, we need to consider the operating cost and purchase cost. For Motor A:

Operating cost of Motor A = (75 hp / 0.75) * (0.746 kW / hp) * ($0.16 / kWh) * (8 hr / day) * (365 days / year) = $34853

Total cost for Motor A = operating cost + purchase cost = $34853 + $3200 = $38053

For Motor B:

Operating cost of Motor B = (75 hp / 0.85) * (0.746 kW / hp) * ($0.16 / kWh) * (8 hr / day) * (365 days / year) = $30753

Total cost for Motor B = operating cost + purchase cost = $30753 + $5900 = $36653

Therefore, based on the calculations, Motor B is more economical for Acme Chemical as it has a lower total cost compared to Motor A.