Question

A particle moves in a circle of radius $20m$ with a linear speed of $10m/s$. Find the angular velocity.

• A. $40rad/s$
• B. $30rad/s$
• C. $0.5rad/s$
• D. None

Answer 1

The correct option is C $0.5rad/s$

Radius of circular path, $r=20cm$

Linear speed of particle moving in circular path,$v=10m/s$

We know the formula is $v=wr$

Where,

$w$ is angular velocity

$v$ is linear velocity of particle and $r$ is the radius of circular path.

$\begin{array}{c}w=\frac{v}{r}\\ =\frac{10}{20}=0.5rad/s\end{array}$

Hence,

angular velocity of particle is $0.5rad/s$

so option $C$ is correct answer.