Question

A solid cylinder of mass 20kg rotate about it's axis with angular speed of 100 rad/s the radius of the cylinder is 0.25 m the kinetic energy associated with the rotation of the cylinder is

Answer 1

Mass of the cylinder, m = 20 kg
Angular speed, ω = 100 rad s^–1
Radius of the cylinder, r = 0.25 m
The moment of inertia of the solid cylinder:
I = mr² / 2
= (1/2) × 20 × (0.25)²
= 0.625 kg m²
∴ Kinetic energy = (1/2) I ω²
= (1/2) × 6.25 × (100)² = 3125 J