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A three-phase, 220 V, 50 Hz, induction motor has 6 poles. What is the synchronous speed and the rotor speed of this induction motor when the slip is 0.03?Question 3Answera.Ns = Nr = 1500 rpmb.Ns=1500 rpm and Nr=1455 rpmc.Ns=1000 rpm and Nr=970 rpmd.Ns=1500 rpm and Nr=1000 rpm

Question

A three-phase, 220 V, 50 Hz, induction motor has 6 poles. What is the synchronous speed and the rotor speed of this induction motor when the slip is 0.03?Question 3Answera.Ns = Nr = 1500 rpmb.Ns=1500 rpm and Nr=1455 rpmc.Ns=1000 rpm and Nr=970 rpmd.Ns=1500 rpm and Nr=1000 rpm

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Solution

The synchronous speed (Ns) of an induction motor can be calculated using the formula:

Ns = 120f / p

where: f = frequency (50 Hz) p = number of poles (6)

Substituting the given values into the formula, we get:

Ns = 120*50 / 6 = 1000 rpm

So, the synchronous speed of the motor is 1000 rpm.

The rotor speed (Nr) can be calculated using the formula:

Nr = Ns * (1 - s)

where: s = slip (0.03)

Substituting the given values into the formula, we get:

Nr = 1000 * (1 - 0.03) = 970 rpm

So, the rotor speed of the motor when the slip is 0.03 is 970 rpm.

Therefore, the correct answer is c. Ns=1000 rpm and Nr=970 rpm.

This problem has been solved

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