Question: (a) For a bicycle, how is the angular speed of the rear wheel (wg) related to that of the pedals and front sprocket (wF), Fig.

(a) For a bicycle, how is the angular speed of the rear wheel (wg) related to that of the pedals and front sprocket (wF), Fig. 8-52? That is, derive a formula for wR/wF. Let NF and NR be the number of teeth on the front and rear sprockets, respectively. The teeth are spaced equally on all sprockets so that the chain meshes properly.
(b) Evaluate the ratio wR/wF when the front and rear sprockets have 52 and 13 teeth, respectively, and
(c) When they have 42 and 28 teeth.

Rear sprocket RR Front sprocket RF

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