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Question

Physics Question on Motion in a plane

Angular velocity of minute hand of a clock is

A

π30rads1\frac{\pi}{30} rad\,s^{-1}

B

πrads1\pi\,rad\,s^{-1}

C

2πrads12\pi\,rad\,s^{-1}

D

π1800rads1\frac{\pi}{1800} rad\,s^{-1}

Answer

π1800rads1\frac{\pi}{1800} rad\,s^{-1}

Explanation

Solution

The correct answer is Option D) π1800rads1\frac{\pi}{1800} rad\,s^{-1}

The minute hand of a clock rotates through an angle of 2π\pi in 60 min

1 hr = 60 min = 3600 sec

According to the formula, angular velocity (ω) = position angle (θ) / time (t)

Therefore, Angular velocity ω = θ​/t = 2 π ​ / 3600 =π ​ / 1800 rads −1

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