11- The figure below shows the drive train of a bicycle that has wheels 67.3 cm

Question

11-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 73.0rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter.

11-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 73.0rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 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.

Explanation / Answer

(a)

v = r w

= (0.152 m / 2) (73 rev / min) (2pi rad / 1 rev) (1 min / 60 s)

= 0.58 m / s

(b)

w = v / r

= (0.58 m/s) / (0.070 m / 2)

= (0.58 m/s) / (0.035 m)

= 16.57 rad / s

(c)

v = r w

= (0.673 / 2) (w)

= 5.542 m / s

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