Can anyone help me with Part (f)? (13%) Problem 4: A bicyclist notes that the pe

Question

Can anyone help me with Part (f)?

(13%) Problem 4: A bicyclist notes that the pedal sprocket has a radius of r,-9.5 cm while the wheel sprocket has a radius of "w-5.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 69 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.7 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed Randomized Variables r" = 9.5 cm rw = 5.5cm R=69 cm t= 1.7 s ©theexpertta.com 17% Part (a) The pedal sprocket and the wheel sprocket have the same 17% Part (b) Calculate the angular speed of the pedal sprocket ao in radians per second 17% Part (c) Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second - 17% Part (d) Calculate the angular speed of the wheel sprocket w, in radians per second. 17% Part (e) Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground. 17% Part (f) If the cyclist wanted to travel at a speed of v2 = 4.5 ms, how much time, in seconds, should elapse as the pedal makes one complete revolution?

Explanation / Answer

b) wp= 2pi/T = 2pi/ (1.7) = 3.70 rad/ sec

c) vp = rp*Wp = 9.5*10^-2* 3.70 = 0.35 m/sec

d) here, vp = vw

0.35 = rw * Ww

0.35 = 5.5*10^-2*(Ww)

=> Ww = 6.39 rad/sec

e) here, angular speed of the wheel is also Ww = 6.39 rad/sec

now, v = R*w = 69 * 6.39 = 440.97 m/sec

f) t = 2pi*rp/v = 2pi*9.5/(4.5) = 13.26 sec

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