The ratio of the angular velocities of the earth about its own axis and the hour hand of a watch is

Options

A. `1:2`
B. `2:1`
C. `1:12`
D. `12:1`

Answer

A

Explanation

The earth completes one rotation about its own axis in 24 h. Its angular velocity is `omega_1=(2pi "rad")/(24 h)`
The hour hand completes one rotation in 12 h. Its angular velocity is `omega_2=(2pi "rad")/(12h)`
`therefore` Their corresponding ratio is `omega_1/omega_2=((2pi "rad")/(24 h))/((2 pi "rad")/(12 h))=1/2`