The figure below shows the drive train of a bicycle that has wheels 67.3 cm in d

Question

The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 81.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter.

(a) Calculate the speed of a link of the chain relative to the bicycle frame. Correct: Your answer is correct. m/s

(b) Calculate the angular speed of the bicycle wheels. Incorrect: Your answer is incorrect. How are the speeds of points on the rims of the two sprockets related? Recall that there is a chain connecting the two. rad/s

(c) Calculate the speed of the bicycle relative to the road. Incorrect: Your answer is incorrect. You appear to have calculated the speed correctly using your incorrect result from part (b). m/s

Explanation / Answer

part b )

Consider the chain link engaging a tooth on the rear sprocket

w = v/r

r = 3.5 x 10^-2

w = 0.644654/3.5*10^-2 = 18.4187 rad/s

part c )

v = w*r

r = 0.673/2 m

v = 6.1978877 m/s

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