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 73.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter

(a) Calculate the speed of a link of the chain relative to the bicycle frame. =_____m/s

(b) Calculate the angular speed of the bicycle wheels. =_____ rad/s

(c) Calculate the speed of the bicycle relative to the road. =______ m/s

Explanation / Answer

part a )

v = r *w

v = (0.152/2) * ( 73 * 2pi/60 )

v = 0.5801 m/s

part b )

w = v/r

r = 0.03 m

w = 19.37 rad/s

part c )

v = rw

v = (0.673/2) * ( 19.37 )

v = 6.52 m/s

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