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  4. The ratio of angular speeds of minute hand and hour hand of a watch is

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Q. The ratio of angular speeds of minute hand and hour hand of a watch is

NTA AbhyasNTA Abhyas 2022

Solution:

In one hour, hour hand moves by 1 hour distance on clock while minute hand moves by 12 hour distance. marked on clock.
thus $\frac{w_{1}}{w_{2}}=\frac{2 \pi }{1}\times \frac{12}{2 \pi }$
$\Rightarrow \frac{w_{1}}{w_{2}}=\frac{12}{1}$