Write the formula expressing the relationship between linear velocity and angular velocity for a particle in rotational motion.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For a particle in rotational motion,the linear velocity $\vec{v}$ of a particle at a position vector $\vec{r}$ from the axis of rotation is given by the cross product of the angular velocity $\vec{\omega}$ and the position vector $\vec{r}$.
The relationship is expressed as: $\vec{v} = \vec{\omega} \times \vec{r}$.

Explore More

Similar Questions

$A$ sphere is rotating about a diameter.

For a particle,the angular velocity is $\vec{\omega} = \hat{i} - 2\hat{j} + 3\hat{k}$ and the position vector is $\vec{r} = \hat{i} + \hat{j} + \hat{k}$. What is the linear velocity $\vec{v}$?

$A$ solid body rotates about a fixed axis such that its angular velocity depends on $\theta$ as $\omega = k \theta^{-1}$,where $k$ is a positive constant. At $t = 0$,$\theta = 0$. Then,the time dependence of $\theta$ is given as ..........

$A$ truck is moving at a speed of $54 \ km/h$. The radius of its wheels is $50 \ cm$. If the wheels come to rest after $20$ rotations upon applying brakes,what is the linear distance covered by the truck during this time? What is the angular acceleration of the wheels?

Difficult
View Solution

The direction of the angular velocity vector is along which of the following?

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