An antique bicycle wheel has a diameter of 63 cm and a mass of 1.8kg. Suppose that the wheel is a hoop with all the mass concentrated on the outside radius. The bicycle is placed on a stationary stand therefore that one can easily spin the wheel.
1. What is the moment of inertia of the wheel?
2. What force should be applied by a chain passing over a 8.1-cm-diameter sprocket in order to give the wheel an acceleration of 5.2 revolutions/s2?
3. What force should be applied by a chain passing over a smaller sprocket of 4.05 cm in order to give the wheel the same acceleration of 5.2 revolutions/s2?