Part F: 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?

(5%) Problem 8: A bicyclist notes that the pedal sprocket has a radius of rp = 9.5 cm while the wheel sprocket has a radius of rw = 4.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 66 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.1 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. Randomized Variables rp = 9.5 cm rw = 4.5 cm R=66cm t=1.1s 17% Part (a) The pedal sprocket and the wheel sprocket have the same Tangential speed at their outer edges. |/ Correct! 17% Part (b) Calculate the angular speed of the pedal sprocket (up, in radians per second. mp = 5.700 17% Part (c) Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second. u/ Correct! vp = 54.15 |/ Correct! 17% Part ((1) Calculate the angular speed of the wheel sprocket cow, in radians per second. ww=11.96 17% Part (e) Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground. I/ Correct! v=7.897 I/ Correct! [2: Hints: _ for a 0.5l cosh() tauh() cotanhO Degrees O Radians Submit I give up! deduction. Hints remaining: _ -You can use the same formula from part (e), but solve for time instead of velocity. Feedback: _ for a deduction No meaningful feedback available for the current submission. Grade Summary Deductions Potential 100% Late Work % 100% Late Potential 100% Submissions Attempts remaining: _ ( per attempt) detailed view 1 2 3 4