Question

What is the average angular velocity of the seconds hand of a clock?

Answer 1

Answer:

$\omega = \frac{\pi}{30} rad/s$

Explanation:

As we know that average angular velocity is defined as the rate of change in angular position in one complete revolution

so it is given as

$\omega = \frac{\Delta \theta}{\Delta t}$

here we know that seconds hand will complete one revolution in 60 s

so we have angular displacement is given as

$\Delta \theta = 2\pi$

$\Delta t = 60 s$

so we have

$\omega = \frac{2\pi}{60}$

$\omega = \frac{\pi}{30} rad/s$