the figure P10.12 shows the drive train of a bicycle that haswheels 67.3 cm in d

Question

the figure P10.12 shows the drive train of a bicycle that haswheels 67.3 cm in diameter and pedal cranks 17.5 cm long thecyclist pedals at a steady angular rate of 76.0 rev / min the chainengages with a front sprocket 15.2 cm in diameter and rear sprocket7.00 cm in diameter (a) calculate the speed of a link of the chainrelative to the bicycle frame (b) calculate the angular speed ofthe bicycle wheels (c) calcula6te the speed of the bicycle relativeto the road (d) what pieces of data if any or not necessary for thecalculations

Explanation / Answer

(a)
   according to the problem let us consider a tooth onthe front sprocket
   v = r
      = (0.175 m / 2) (76 rev / min) (2 rad / 1 rev) (1 min / 60 s)
      = ....... m / s
(b)
   consider the chain link engaging a tooth on the rearsprocket
   = v / r
       = v / (0.07 m / 2)
       = ..... rad / s
(c)
   now consider the wheel tread road
   a thread could be unwinding from the tire with thisspeed relative to the frame
   v = r
      = (0.673 / 2) ()
= ...... m / s
(d)
   we did not need to know the length of the pedalcranks

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