Question

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

Answer 1

`\omega = (\pi)/(30) rad/s`

Step-by-step 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 = (\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 = (2\pi)/(60)`

`\omega = (\pi)/(30) rad/s`