1.

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

Answer»

`1:2`
`2:1`
`1:12`
`12:1`

Solution :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`


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