A bicyclist notes that the pedal sprocket has a radius of while the wheel sprocket has a radius of . The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius . When pedaling, the cyclist notes that the pedal rotates at one revolution every . When pedaling, the wheel sprocket and the wheel move at the same angular speed.
a)The pedal sprocket and the wheel sprocket have the same______.
1) Angular and tangential speed
2) Tangential speed at their outer edges
3) Centripetal acceleration
4) Radius
(b)Calculate the angular speed of the pedal sprocket , in radians per second.
(c)Calculate the linear speed of the outer edge of the pedal sprocket , in centimeters per second.
(d)Calculate the angular speed of the wheel sprocket , in radians per second.
(e)Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground.
(f)If the cyclist wanted to travel at a speed of , how much time, in seconds, should elapse as the pedal makes one complete
