Write the relation between linear velocity and angular velocity.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The relation between linear velocity $\vec{v}$ and angular velocity $\vec{\omega}$ for a particle moving in a circular path of radius $\vec{r}$ is given by the vector product: $\vec{v} = \vec{\omega} \times \vec{r}$.
In terms of magnitude,for a particle moving in a circle of radius $r$,the relation is $v = r\omega$,where $v$ is the linear speed,$\omega$ is the angular speed,and $r$ is the radius of the circular path.

Explore More

Similar Questions

$A$ ball is moving uniformly in a circular path of radius $1 \, m$ with a time period of $1.5 \, s$. If the ball is suddenly stopped at $t = 8.3 \, s$,the magnitude of the displacement of the ball with respect to its position at $t = 0 \, s$ is closest to .......... $m$.

State the $SI$ units of angular velocity and angular acceleration.

The angular velocity of the minute hand of a clock in degrees per second is

$A$ particle is performing $U.C.M.$ along a circle of radius $R$. In half the period of revolution, its displacement and distance covered are respectively

$A$ particle is moving in a circle with uniform speed. It has constant

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo