Which is greater the angular velocity of hour hand of a watch or angular velocity of earth around its own axis ? Calculate their ratio ?

Which is greater the angular velocity of hour hand of a watch or angul

1.	Which is greater the angular velocity of hour hand of a watch or angular velocity of earth around its own axis ? Calculate their ratio ?
Answer» Solution :The HOUR hand COMPLETES one rotation in 12 hours. Itsangular speed is `:. omega_(1) = (theta)/(t) = ( 2 pi rad)/(12 h)` `= (2 pi rad)/( 12 xx 60 xx 60s)` `= (pi)/( 21600) rad s^(-1)` The earth completes one rotation about its axis in 24 hours. Its angular speed is ` :. omega_(2) = (theta)/(t) = ( 2 pi rad)/( 24 h)` `= ( 2 pi rad)/( 24 xx 60 xx 60)` `= (2pi)/( 86400)` ` = (pi)/(43200) rad s^(-1)` Clearly , `omega_(1) gt omega_(2) and omega _(1) : omega_(2) = 2 : 1 `