Question

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

Answer 1

Given, radius of driving wheel $ra=1cm$

No. of teeth in the driving wheel $Na=8$

Speed of rotation of driving wheel $na=12rpm$

Speed of rotation of driven wheel $nb=1rpm$

No. of teeth in the driven wheel $Nb=Na\times \frac{na}{nb}=8\times \frac{12}{1}=96$