(B) The relationship between linear velocity $v$,angular velocity $\omega$,and radius $r$ is given by $v = r \omega$.For the first particle: $v_1 = 10

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(B) The relationship between linear velocity $v$,angular velocity $\omega$,and radius $r$ is given by $v = r \omega$.For the first particle: $v_1 = 10 \ cm \ s^{-1}$ and $r_1 = 2 \ cm$.Thus,$\omega = \frac{v_1}{r_1} = \frac{10}{2} = 5 \ rad \ s^{-1}$.In a rigid body undergoing rotational motion,all particles rotate with the same angular velocity $\omega$ about the fixed axis.Therefore,the angular velocity of the particle at $4 \ cm$ is also $5 \ rad \ s^{-1}$.

Class 11 Physics System of Particles and Rotational Motion Rotation Motion Basic, Motion of Connected Mass

Easy

For a rigid body in rotational motion,if the linear velocity of a particle at a distance of $2 \ cm$ from the fixed axis of rotation is $10 \ cm \ s^{-1}$,what is the angular velocity of a particle at a distance of $4 \ cm$ from the axis of rotation?

A
$2.5 \ rad \ s^{-1}$
B
$5 \ rad \ s^{-1}$
C
$10 \ rad \ s^{-1}$
D
$20 \ rad \ s^{-1}$

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System of Particles and Rotational Motion

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Rotation Motion Basic, Motion of Connected Mass

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$A$ mass $m$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder,with what acceleration will the mass fall on release?

MediumJEE MAIN 2014

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For a rigid body in rotational motion,if the linear velocity of a particle at a distance of $2 \ cm$ from the fixed axis of rotation is $10 \ cm \ s^{-1}$,what is the angular velocity of a particle at a distance of $4 \ cm$ from the axis of rotation?

Similar Questions

What is pure translational motion?

Why do we not apply force on all the particles of a door to open or close it?

$A$ rigid body is rotating with variable angular velocity $\omega = (a - bt)$ at any instant of time $t$. The total angle subtended by it before coming to rest will be ($a$ and $b$ are constants).

Explain angular velocity and angular acceleration about a fixed axis,derive the equations of rotational motion,and write the analogy between the equations of linear motion and rotational motion.

$A$ mass $m$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder,with what acceleration will the mass fall on release?

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