The figure below shows the drive train of a bicycle that has

The figure below shows the drive train of a bicycle that has wheels 67.3 m in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 73.0 rev/min. The chain engaged a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Calculate the speed of a link of the chain relative to the bicycle frame. Calculate the angular speed of the bicycle wheels. Calculate the speed of the bicycle relative to the road.

Solution

a) v=r = 76.5* 2*pi/60 * (15.2/200)=0.609 m/s

b) = v/r = 0.609/(6/200) = 20.3 rad/s

c) v = r = 20.3 * 67.3/(200) = 6.83 m/s