Question

Calculate the angular velocity and the linear velocity of the tip of the second hand of a clock, if the second hand is $4cm$ long.

Answer 1

Given: length of minute hand 4cm which is also radius of circular path of second hand.

To find the angular velocity and the linear velocity of the tip of the second hand of a clock,

Solution:

As per the given criteria,

$r=4cm$

We know that angular velocity,

$\omega =\frac{\text{angle}}{\text{time}}⟹\omega =\frac{2\pi }{60sec}⟹\omega =\frac{\pi }{30}rad/s$

And Linear velocity,

$v=r\omega ⟹v=4\times \frac{\pi }{30}⟹v=0.42cm/sec$