A bicycle wheel has a diameter of 63.8 cm and a mass of 1.79 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 117 N is applied tangent to the rim of the tire.
(a) What force must be applied by a chain passing over a 8.92-cm-diameter sprocket in order to give the wheel an acceleration of 4.49 rad/s2? (b) What force is required if you shift to a 5.65-cm-diameter sprocket?