Question

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 1

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× `"na"/"nb"` = `1xx12/1 =12  cm`

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