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10 kW, 6-pole, 50 Hz, 3- phase induction motor has linear torque-slip characteristicsbetween zero torque and maximum torque. The slip at which maximum torque of 520 Nmoccurs is 0.2. For mechanical losses of 600 W, find the speed at which motor would run whiledelivering rated shaft power.

Question

10 kW, 6-pole, 50 Hz, 3- phase induction motor has linear torque-slip characteristicsbetween zero torque and maximum torque. The slip at which maximum torque of 520 Nmoccurs is 0.2. For mechanical losses of 600 W, find the speed at which motor would run whiledelivering rated shaft power.

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Solution

To solve this problem, we need to follow these steps:

  1. First, we need to find the synchronous speed of the motor. The formula for synchronous speed is Ns = 120f/P, where f is the frequency and P is the number of poles. Substituting the given values, we get Ns = 120*50/6 = 1000 RPM.

  2. The slip at which maximum torque occurs is given as 0.2. So, the speed at maximum torque, Nm, can be

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