# Problem: A bicyclist notes that the pedal sprocket has a radius of rp = 11 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 63 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed.rp = 11 cmrw = 6.5 cmR = 63 cmt = 1.9 sIf the cyclist wanted to travel at a speed of v2 = 3.5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?

###### FREE Expert Solution

If the bicyclist wanted to travel at a speed of v2 = 3.5 m/s, the time, which is required to make one complete revolution in the pedal is:

t = 2πrpR/v2rw ###### Problem Details

A bicyclist notes that the pedal sprocket has a radius of rp = 11 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 63 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed.

rp = 11 cm
rw = 6.5 cm
R = 63 cm
t = 1.9 s

If the cyclist wanted to travel at a speed of v2 = 3.5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?