Question

A bicycle wheel has a diameter of 64.2 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 115 N is applied tangent to the rim of the tire.

A.What force must be applied by a chain passing over a 9.06 cm diameter sprocket if the wheel is to attain an acceleration of 4.41 rad/s2? (in Newtons)

B.What force is required if the chain shifts to a 5.54 cm diameter sprocket? (in Newtons)