Question
A solid cylinder of mass 20 kg rotates about its axis with angular velocity 100 rad/s. The radius of cylinder is 0-25m. Find the magnitude of angular momentum and kinetic energy associated with cylinder.
Solution
Given,
Mass of cylinder, m = 20 kg
Radius of cylinder, r = 0.25m
Angular velocity of cylinder, ω = 100 rad/s
The moment of inertia of cylinder about its axis is,
= 0.625 kg m2
Now angular momentum of cylinder is,
L = I w
= 0.625 x 100
= 62.5 Js
Kinetic energy of cylinder is,