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Question

Question: The ratio of angular velocity of rotation of minute hand of a clock with the angular velocity of rot...

The ratio of angular velocity of rotation of minute hand of a clock with the angular velocity of rotation of the earth about its own axis is

A

12

B

6

C

24

D

None of these

Answer

24

Explanation

Solution

ωMinutehand=2π60radmin\omega_{Minutehand} = \frac{2\pi}{60}\frac{rad}{\min}and

ωEarth=2π24Radhr=2π24×60radmin\omega_{Earth} = \frac{2\pi}{24}\frac{Rad}{hr} = \frac{2\pi}{24 \times 60}\frac{rad}{\min}ωMinutehandωEarth=24:1\frac{\omega_{Minutehand}}{\omega_{Earth}} = 24:1