Question

The angular velocity of the second's hand of a watch is

• A. $\frac{\pi }{60}$ rad/sec
• B. $\frac{\pi }{30}$ rad/sec
• C. $60\pi$ rad/sec
• D. $30\pi$ rad/sec

Answer 1

The correct option is B $\frac{\pi }{30}$ rad/sec

We know that second's hand completes its revolution $\left(2\pi \right)$ in 60 sec $\therefore \omega =\frac{\theta }{t}=\frac{2\pi }{60}=\frac{\pi }{30}$ rad/sec