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A 4-pole, 50 Hz, 3-ϕ induction motor has a slip of 6%. Calculate the speed of the motor.
1. 1250 rpm
2. 1350 rpm
3. 1500 rpm
4. 1410 rpm

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Correct Answer - Option 4 : 1410 rpm

Concept:

In a three-phase induction motor, synchronous speed is

\({N_s} = \frac{{120f}}{P}\)

Where N= Synchronous Speed in rpm

f = supply frequency in Hz

P = number of poles

Rotor speed, Nr = Ns (1 – s)

Calculation:

Given that,

Number of poles (P) = 4

Frequency (f) = 50 Hz

The synchronous speed of the induction motor is,

\({N_s} = \frac{{120 \times 50}}{4} = 1500\;rpm\)

Slip (s) = 6 % = 0.06

Full load speed, Nr = 1500(1 – 0.06) = 1410 rpm

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