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The drive train of a bicycle includes wheels 67.3 cm indiameter and pedal cranks 17.5 cm long. The cyclist pedals at asteady angular rate of 76.0 rev/min. The chain engages with a frontsprocket 15.2 cm in diameter and a rear sprocket 7.00 cm indiameter.

(a) Calculate the speed of a link of the chain relative to thebicycle frame.

(b) Calculate the angular speed of the bicycle wheels.

(c) Calculate the speed of the bicycle relative to the road.

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