Will the linear velocity of a particle rotating with a constant angular speed about a non-fixed axis be constant? Why?
(B) No,the linear velocity will not be constant.
Although the angular speed is constant,the direction of the axis of rotation is not fixed.
Since the linear velocity $\vec{v} = \vec{\omega} \times \vec{r}$,and the direction of the angular velocity vector $\vec{\omega}$ changes as the axis of rotation changes,the direction of the linear velocity $\vec{v}$ will also change.
Therefore,the linear velocity is not constant.
Although the angular speed is constant,the direction of the axis of rotation is not fixed.
Since the linear velocity $\vec{v} = \vec{\omega} \times \vec{r}$,and the direction of the angular velocity vector $\vec{\omega}$ changes as the axis of rotation changes,the direction of the linear velocity $\vec{v}$ will also change.
Therefore,the linear velocity is not constant.
Explore More
Similar Questions
In dealing with the motion of a projectile in the air,we ignore the effect of air resistance on the motion. This gives a trajectory that is a parabola,as you have studied. What would the trajectory look like if air resistance is included? Sketch such a trajectory and explain why you have drawn it that way.
Medium
View Solution$A$ body of mass $m$ is projected from the ground with speed $u$ at an angle $\theta$ with the horizontal. The power delivered by gravity to it at half of the maximum height from the ground is
Difficult
View SolutionWhen a force of constant magnitude and a fixed direction acts on a moving object,then its path is
Medium
View SolutionThe hour hand of a clock is $6\,cm$ long. The magnitude of the displacement of the tip of the hour hand between $1:00\,PM$ and $5:00\,PM$ is:
Medium
View SolutionThe coordinates of a moving particle at a time $t$ are given by $x = 5 \sin 10t$ and $y = 5 \cos 10t$. The speed of the particle is:
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo