1.

The driving wheel of a gear system is of radius 1 cm and it has 8 teeth. For twelve rotations of the driving wheel, if the driven wheel makes one rotation find :(a) The radius, and(b) the number of teeth in the driven wheel.

Answer»

Given, radius of driving wheel ra = 1 cm

No. of teeth in the driving wheel Na= 8

Speed of rotation of driving wheel na = 12 rpm

Speed of rotation of driven wheel nb = 1 rpm

(a) Radius of driven wheel rb = ra x na/nb = 1 x 12/1 = 12 cm

(b) No. of teeth in the driven wheel Nb = Na x na/nb = 8 x 12/1 = 96



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