question_answer

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

Answer:

                For hour hand of watch, time period, \[{{T}_{h}}=12h\]; For earth, \[{{T}_{e}}=24h\]. Angular velocity, \[\omega =\frac{2\pi }{T}\]                       \[\therefore \]\[\frac{{{\omega }_{h}}}{{{\omega }_{e}}}=\frac{{{T}_{e}}}{{{T}_{h}}}=\frac{24}{12}=2\]                       or \[{{\omega }_{h}}=2{{\omega }_{e}}\]