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A 6 pole, 50 hz-, 3-f induction motor has a full load speed of 950 rpm. At half load, its speed would be ____ rpm
  • a)
    475
  • b)
    500
  • c)
    975
  • d)
    1000
Correct answer is option 'C'. Can you explain this answer?
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A 6 pole, 50 hz-, 3-f induction motor has a full load speed of 950 rpm...
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A 6 pole, 50 hz-, 3-f induction motor has a full load speed of 950 rpm...
Given data:
Poles, P = 6
Frequency, f = 50 Hz
Full load speed, N = 950 rpm

Formula used:
Synchronous speed, Ns = 120f/P
Actual speed, N = (1-S)Nf
where S is slip and Nf is synchronous speed

Explanation:
Synchronous speed, Ns = 120f/P
Ns = (120 x 50)/6 = 1000 rpm

At full load, slip, S = (Ns-N)/Ns = (1000-950)/1000 = 0.05

At half load, S = 1/2 x 0.05 = 0.025

Actual speed at half load, N = (1-S)Nf
N = (1-0.025) x 1000 = 975 rpm

Therefore, the speed of the motor at half load is 975 rpm, which is option C.
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A 6 pole, 50 hz-, 3-f induction motor has a full load speed of 950 rpm...
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