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Physics
Angular velocity of hour hand of a watch is
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Q. Angular velocity of hour hand of a watch is
MHT CET
MHT CET 2005
Motion in a Plane
A
$\frac{\pi}{43200}rads^{-1}$
16%
B
$\frac{\pi}{30}rads^{-1}$
10%
C
$\frac{\pi}{21600}rads^{-1}$
42%
D
$\frac{\pi}{1800}rads^{-1}$
32%
Solution:
Angular velocity = $\frac{angle\, traced }{ time \,taken}$
Time period of hour hand is 12 h . So, $\omega = \frac{2\pi}{12} rad\,h^{-1}$
= $\frac{2\pi}{12 \times 60 \times 60}rad\,s^{-1} = \frac{\pi}{21600}rad\,s^{-1}$