# Pre-Calculus Help something with a bicycle pedal and wheel!?

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket has a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 30 rpm.

a.) Find the rotations per minute of the wheel sprocket.

b.) Find the speed of the bicycle. Assume that the wheel turns at the same rate as the wheel sprocket. (Round your answer to 2 decimal places.)