1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A solid cylinder of mass 20kg rotates about its axis with angular speed 100rads−1. The radius of the cylinder is 0.25m. What is the kinetic energy associated with the rotation of cylinder? What is the magnitude of angular momentum of cylinder about its axis?

A
62.5Js
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
70.4Js
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
79.6Js
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
60.5Js
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 62.5J−sIf I be the moment of inertia of the cylinder about its axis, thenI=12MR2=12×20×(0.25)2=0.625kg−m2∴ KE associated with the rotating cylinder is given by,KE =12Iω2=12×0.625×(100)2=3125JAlso using the relation,L=√2I(KE)We have L=√2×0.625×3125 L=62.5J−s

Suggest Corrections
9
Join BYJU'S Learning Program
Related Videos
Intuition of Angular Momentum
PHYSICS
Watch in App
Join BYJU'S Learning Program