Question

A mark on the rim of a rotating wheel is 0.5m radius is moving with a speed of 10m/s. find its angular speed

Answer 1

Angular speed = 10/0.5=20rad/s

Answer 2

Answer:

$\omega=20\ rad/s$

Explanation:

It is given that,

Radius of the rotating wheel, r = 0.5 m

Speed of the wheel, v = 10 m/s

Let $\omega$ is the angular speed of the wheel. The relation between the angular speed and linear speed is given by :

$v=r\times \omega$

$\omega=\dfrac{v}{r}$

$\omega=\dfrac{10}{0.5}$

$\omega=20\ rad/s$

So, the angular speed of the wheel is 20 rad/s. Hence, this is the required solution.