Question

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 . 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 the torques.]

16) Find the equation for the angular velocity ω in Problem 15, assuming that the retarding torque is proportional to √ ω .

#16 is the question. The answer to #15 is (w₀-T/k) e^-kt/I + T/k from the back of the book. Thank you

Answer 1