A bicyclist notes that the pedal sprocket has a radius of rp = 10.5cm while the wheel sprocket has a radius of rw = 6cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 60cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.6s. When pedaling the wheel sprocket and the wheel move at the same angular speed.
If the cyclist wanted to travel at a speed of v = 5m/s, how much time in seconds should elapse as the pedal makes one complete revolution?