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Q.

The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is

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a

\frac{π}{15} {rads}^{- 1}

b

\frac{π}{30} {rads}^{- 1}

c

\frac{π}{45} {rads}^{- 1}

d

\frac{π}{7} {rads}^{- 1}

answer is B.

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Detailed Solution

ω = \frac{2 π}{T}

$T = 60 \sec$

$ω = \frac{2 π}{60} \Rightarrow \frac{π}{30} rad/s$

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The average angular velocity of the seconds hand of a watch if the seconds hand of the watch completes one revolution in 1 minute is