A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad / s. The radiu

Name: Problem 78, Chapter 5: Objective Physics : NEET 2020 Examination textbook Gurukul Oswal
Uploaded: 2021-10-01T13:32:25-08:00
Duration: 1 min 12 s
Channel: Dheeraj Sharma
Description: A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad / s. The radius of the cylinder is 0.25 m. The kinetic energy associated with the rotation of the cylinder is: (a) 3025 J (b) 3225 J (c) 3250 J (d) 3125 J

step 1 In this question we have given a solid cylinder whose mass and angular speed is given to us We h

Question

A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} / \mathrm{s}$. The radius of the cylinder is $0.25 \mathrm{~m}$. The kinetic energy associated with the rotation of the cylinder is: (a) $3025 \mathrm{~J}$ (b) $3225 \mathrm{~J}$ (c) $3250 \mathrm{~J}$ (d) $3125 \mathrm{~J}$

   A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} / \mathrm{s}$. The radius of the cylinder is $0.25 \mathrm{~m}$. The kinetic energy associated with the rotation of the cylinder is:
(a) $3025 \mathrm{~J}$
(b) $3225 \mathrm{~J}$
(c) $3250 \mathrm{~J}$
(d) $3125 \mathrm{~J}$

Objective Physics : NEET 2020 Examination textbook Gurukul Oswal

Gurukul Oswal… 2020 Edition

Chapter 5, Problem 78

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Solved by Expert Dheeraj Sharma

10/01/2021

Step 1

The mass of the cylinder $m$ is $20 \, \mathrm{kg}$, the angular speed $\omega$ is $100 \, \mathrm{rad/s}$, and the radius $r$ is $0.25 \, \mathrm{m}$. Show more…

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A solid cylinder of mass $20 \mathrm{~kg}$ rotates about its axis with angular speed $100 \mathrm{rad} / \mathrm{s}$. The radius of the cylinder is $0.25 \mathrm{~m}$. The kinetic energy associated with the rotation of the cylinder is: (a) $3025 \mathrm{~J}$ (b) $3225 \mathrm{~J}$ (c) $3250 \mathrm{~J}$ (d) $3125 \mathrm{~J}$

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Key Concepts

Moment of Inertia

The moment of inertia is a measure of an object's resistance to changes in its rotational motion. For a solid cylinder rotating about its central axis, it is determined by the mass distribution relative to the axis of rotation, and is specifically given by the expression I = (1/2)MR², where M is the mass and R is the radius.

Rotational Kinetic Energy

Rotational kinetic energy quantifies the energy due to an object’s rotation. It is computed using the formula K = (1/2)I?², where I is the moment of inertia and ? is the angular speed. This concept is analogous to translational kinetic energy in linear motion but applies to rotating bodies.

Angular Speed

Angular speed is the rate at which an object rotates or revolves, typically measured in radians per second (rad/s). It represents how quickly an object covers an angle and is essential in calculations involving rotational motion, particularly when determining rotational kinetic energy.

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