cm while the wheel sprocket has a radius of rw-5.5 cm. The two sprockets are eve

Question

cm while the wheel sprocket has a radius of rw-5.5 cm. The two sprockets are every 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. 115 cm Ot cotan0 asin0acos0 atan0 acotan0 sinh0 1 2 3 17% Part (d) Calculate the angular speed of the wheel sprocket cuw, 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 (D . If the cyclist wanted to travel at a speed of v2 = 45 m/s, how much time, in seconds, should elapse as the pedal makes one

Explanation / Answer

b) wp= 2pi/T = 2pi/ (1.9) = 3.3 rad/ sec

c) vp = rp*Wp = 11.5*10^-2* 3.3 = 0.38 m/sec

d) here, vp = vw

0.38 = rw * Ww

0.38 = 5.5*10^-2*(Ww)

=> Ww = 6.91 rad/sec

e) here, angular speed of the wheel is also Ww = 6.91 rad/sec

now, v = R*w = 67 * 6.91 = 462.97 m/sec

f) t = 2pi*rp/v = 2pi*11.5/(4.5) = 16.06 sec

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