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A 3-phase, 1.5 kW, 415 V, 2-pole, 50 Hz, 2910 rpm induction motor delivers rated output power to a load. If the rotational loss is 150 W, determine the air-gap power.

Question

A 3-phase, 1.5 kW, 415 V, 2-pole, 50 Hz, 2910 rpm induction motor delivers rated output power to a load. If the rotational loss is 150 W, determine the air-gap power.

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Solution

The air-gap power (P_ag) of an induction motor can be calculated using the formula:

P_ag = P_out + P_rot

where: P_out is the output power, and P_rot is the rotational loss.

Given in the problem, P_out = 1.5 kW = 1500 W (converting kW to W) and P_rot = 150 W.

Substituting these values into the formula, we get:

P_ag = 1500 W + 150 W = 1650 W

Therefore, the air-gap power of the induction motor is 1650 W.

This problem has been solved

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