A cylinder of mass m and radius r is rotating about its axis with constant speed v Its kinetic e

Name: Problem 650, Chapter 5: JEE Physics
Uploaded: 2021-10-08T03:59:35-08:00
Duration: 1 min 15 s
Channel: Saman Zulfiqar
Description: A cylinder of mass m and radius r is rotating about its axis with constant speed v Its kinetic energy is {A} 2 mv^2 {B} mv^2 {C}(1 / 2) mv^2 {D}[(mv^2) / 4]

step 1 The question is a cylinder of mass and radius is rotating a lot of sexes with a constant speed V

Question

A cylinder of mass $\mathrm{m}$ and radius $\mathrm{r}$ is rotating about its axis with constant speed $\mathrm{v}$ Its kinetic energy is $\{\mathrm{A}\} 2 \mathrm{mv}^{2}$ $\{\mathrm{B}\} \mathrm{mv}^{2}$ $\{\mathrm{C}\}(1 / 2) \mathrm{mv}^{2}$ $\{\mathrm{D}\}\left[\left(\mathrm{mv}^{2}\right) / 4\right]$

   A cylinder of mass $\mathrm{m}$ and radius $\mathrm{r}$ is rotating about its axis with constant speed $\mathrm{v}$ Its kinetic energy is
$\{\mathrm{A}\} 2 \mathrm{mv}^{2}$
$\{\mathrm{B}\} \mathrm{mv}^{2}$
$\{\mathrm{C}\}(1 / 2) \mathrm{mv}^{2}$
$\{\mathrm{D}\}\left[\left(\mathrm{mv}^{2}\right) / 4\right]$

JEE Physics

StemEZ 1st Edition

Chapter 5, Problem 650

Instant Answer

Solved by Expert Saman Zulfiqar

10/08/2021

Step 1

Step 1: The kinetic energy of a rotating object is given by the formula $KE = \frac{1}{2}I\omega^2$, where $I$ is the moment of inertia and $\omega$ is the angular velocity. Show more…

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A cylinder of mass $\mathrm{m}$ and radius $\mathrm{r}$ is rotating about its axis with constant speed $\mathrm{v}$ Its kinetic energy is $\{\mathrm{A}\} 2 \mathrm{mv}^{2}$ $\{\mathrm{B}\} \mathrm{mv}^{2}$ $\{\mathrm{C}\}(1 / 2) \mathrm{mv}^{2}$ $\{\mathrm{D}\}\left[\left(\mathrm{mv}^{2}\right) / 4\right]$

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Key Concepts

Relationship between Angular Velocity and Linear Speed

In rotational motion, linear speed (v) at a point on the rotating body is related to the angular velocity (?) through the equation v = r·?, where r is the distance from the axis of rotation. This relation is essential for converting between rotational and translational parameters.

Moment of Inertia

A measure of an object's resistance to changes in its rotational motion, moment of inertia depends on the mass distribution relative to the axis of rotation. For simple geometries, standard formulas exist which allow for the computation of rotational kinetic energy.

Rotational Kinetic Energy

This is the energy possessed by a body due to its rotation. It is calculated using the formula (1/2)·I·?², where I is the moment of inertia and ? is the angular velocity. It is analogous to translational kinetic energy but applies to spinning or rotating objects.

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