Question

Find the ratio of angular speeds of minute hand and hour hand of a watch and also find the angular speed of the seconds hand in watch.

Answer 1

The angular displacement of hour hand in one hour = $5ticks$

and the angular displacement of minute hand=$60ticks$

Hence the ratio of angular speeds=$\frac{{\omega }_h}{{\omega }_m}=\frac{60}{5}=12$

Thus the angular speed of the seconds hand=$\frac{2\pi }{60}=\frac{\pi }{30}=0.10472rad/s$