GATE EE 2022 Set 1 — Question 63
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Electrical Machines → Three-Phase Induction Machines → Performance Calculations
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Question
A -pole induction motor with inertia of kg-m drives a constant load torque of Nm. The speed of the motor is increased linearly from rpm to rpm in seconds as shown in the figure below. Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ____________. (round off to nearest integer)

Correct answer
675 to 700
Solution
1.Angular Speeds: rad/s, rad/s.
2.Energy Components: Total energy .
3.Work against Load Torque (): J.
4.Change in Kinetic Energy (): J.
5.Total Energy: J. Rounding to the nearest integer gives J.
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