Answer:
The hour hand of a
watch takes 12 h to complete one rotation i.e. \[{{T}_{1}}=12hour\]. And the
earth takes 24 hours to rotate once around its axis, i.e. \[{{T}_{2}}=12hour\].
As \[\omega
=\frac{2\pi }{T}\] and \[{{T}_{1}}<{{T}_{2}}\] \[\therefore
\] \[{{\omega }_{1}}>{{\omega }_{2}}\]
i.e.,
angular speed of hour hand is greater than the angular velocity of earth around
its axis.
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