A bicycle wheel has a diameter of 64.6 cm and a mass of 1.70 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 120 N is applied tangent to the rim of the tire. a) What force must be applied by a chain passing over a 9.07 cm diameter sprocket if the wheel is to attain an acceleration of 4.53 rad/s^2 ?
b) What force is required if the chain shifts to a 5.51 cm diameter sprocket?