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Angular velocity of the minute hand of a clock is:

1. $30\pi$ rad/s
2. $\pi$ rad/s
3. $2\pi$ rad/s
4. $1800\pi$ rad/s

Correct answer: $1800\pi$ rad/s

Solution

The minute hand completes one revolution in 3600 s, so its angular velocity is $\omega = \frac{2\pi}{3600} = \frac{\pi}{1800}$ rad/s. The options are OCR-corrupted, and the intended correct value is $\frac{\pi}{1800}$ rad/s. The provided answer text does not match the physically correct value.

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