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  4. The angular velocity of second's hand in a watch is:

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Q. The angular velocity of second's hand in a watch is:

AFMCAFMC 2000

Solution:

Time period of a second's hand watch is $60 \,s$.
In analogy with the concept of velocity for linear motion,
the angular velocity for rotational motion can be defined as :
Average angular velocity $=$ Change in angular position over time
Also time period of second's hand in a watch is $60 \,s$.
$\therefore \omega=\frac{2 \pi}{T}=\frac{2 \times 3.14}{60}=0.105$ rad / s