The drawing shows the front and rear sprockets of a bicycle. Assume the chain does not slip or stretch. The radius of the front sprocket is r cm front 10.0 , while that of the rear sprocket is r cm rear 2.0 . A rider is pedaling the bicycle so that the initial angular speed of the front sprocket is 5.9 rad/s.
a. What angular acceleration should be applied to the front sprocket to double the angular speed of the rear sprocket?
b. How much time is required to double the speed of the rear sprocket?