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QUESTION

# I don't even know where to start. I'm so confused. Find the equation for the angular velocity in Problem 15 , assuming that the retarding torque is...

I don't even know where to start.. I'm so confused... :/

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

This is problem 15: A rotating flywheel is being turned by a motor that exerts a constant torque T. 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 the torques.]

Note : w = d0/dt **** d0 is d- theta

3.           An RC circuit with a 1-Ω resistor and a 0.000001-F capacitor is driven by a voltage E(t)=sin 100t V. If the initial capacitor voltage is zero, determine the subsequent resistor and capacitor voltages and the current.