Question

Find the angular momentum of a particle of mass $m$ describing a circle of radius $r$ with angular speed $\omega$.

• A. $2m\omega r^2$.
• B. $m\omega r^2$.
• C. $3m\omega r^2$.
• D. $4m\omega r^2$.

Answer 1

The correct option is B $m\omega r^2$.

We know,

Angular momentum$\left(L\right)=I\omega$

For a particle of mass $m$ revolving around Radius $R$

$I=m{R}^2$ (about centre of revolution)

$L=m{R}^2\omega$

Hence option $\text{B}$ s correct answer.