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Q1. An electric motor is running at 1500 rev/min when the power is shut off. The total frictional resistance to motion is equivalent to a torque of 6 Nm, and forty seconds later the speed of the motor has fallen to 800 rev/min. Calculate EACH of the following:

(a) the moment of inertia (I) of the motor;

(b) the total time taken to come to rest;

(c) the total number of revolutions made after the power is shut off before coming to rest.