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Komok
25 days ago
8

A 90-hp (shaft output) electric car is powered by an electric motor mounted in the engine compartment. If the motor has an avera

ge efficiency of 91 percent, determine the rate of heat supply by the motor to the engine compartment at full load.
Engineering
1 answer:
pantera1 [220]25 days ago
4 0

Answer:

Heat supply rate is measured at 8.901 horsepower.

Explanation:

Energy efficiency of the electric vehicle, as per Thermodynamics (\eta), is the proportion of translational mechanical power (\dot E_{out}), expressed in horsepower, and electrical energy (\dot E_{in}), also in horsepower. The heat supply rate (\dot E_{l}), indicated in horsepower, that the motor delivers to the engine bay under full load can be determined by subtracting the translational mechanical energy from the electric energy. This is expressed as:

\eta = \frac{\dot E_{out}}{\dot E_{in}} (1)

\dot E_{l} = \dot E_{in}-\dot E_{out} (2)

\dot E_{l} = \left(\frac{1}{\eta}-1\right)\cdot \dot E_{out} (3)

If we have the values of \eta = 0.91 and \dot E_{out} = 90\,hp, the heat supply rate can be calculated as:

\dot E_{l} = \left(\frac{1}{0.91}-1 \right)\cdot (90\,hp)

\dot E_{l} = 8.901\,hp

The heat supply rate amounts to 8.901 horsepower.

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