A bicyclist notes that the pedal sprocket has a radius of rp=12 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain that rotates without slipping. The bicycle wheel has a radius of R = 62 cm. When pedalling the cyclist notes that the pedal rotates at one revolution every t = 1.4 s. When pedalling, the wheel sprocket and the wheel move at the same angular speed.
Part (a) The pedal sprocket and the wheel sprocket have the same ______?
- The tangential speed at their outer edges.
- Radius
- Centripetal acceleration
- Angular and tangential speed
(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 vp, in centimetres 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
A bicyclist notes that the pedal sprocket has a radius of rp=12 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain that rotates without slipping. The bicycle wheel has a radius of R = 62 cm. When pedalling the cyclist notes that the pedal rotates at one revolution every t = 1.4 s. When pedalling, the wheel sprocket and the wheel move at the same angular speed.
Part (a) The pedal sprocket and the wheel sprocket have the same ______?
- The tangential speed at their outer edges.
- Radius
- Centripetal acceleration
- Angular and tangential speed
(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 vp, in centimetres 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
