Calculate the angular momentum and kinetic energy of a solid uniform sphere with a radius of 0.120 m and a mass of 14.0 kg if it is rotating at 6.00 rad/s about an axis through its center..

Answer 1

r=0.12 m
m=14 kg

Moment of inertia of sphere, I
= (2/5)mr²
=0.08064 kg-m²
Angular velocity, ω
= 6 rad/sec.
Angular momentum, L
= Iω
= 0.48384 kg-m²/s.
Rotational kinetic energy, K_r
= (1/2)Iω²
= (1/2)0.08064 6² kg-m²/s/s
= 1.45152 kg-m²/s²