In Problem 16, let I=50 kg-m2 and the retarding torque be 5√ω N-m. If the motor is turned off with the angular velocity at 225 rad/sec, determine how long it will take for the flywheel to come to rest.
16. Find the equation for the angular velocity ω in Problem 15, assuming that the retarding torque is proportional to √ω.
15. A rotating flywheel is being turned by a motor that exerts a constant torque T (see Figure 3.10). A retarding torque due to friction is proportional to the angular velocity ω. If the moment of inertia of the flywheel is I and its initial angular velocity is ω0, find the equation for the angular velocity ω as a function of time. [Hint: Use Newton’s second law for rotational motion, that is, moment of inertia × angular acceleration = sum of torques.]

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