Posted by Sarah on .
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..

Physics 
MathMate,
r=0.12 m
m=14 kg
Moment of inertia of sphere, I
= (2/5)mr^{2}
=0.08064 kgm^{2}
Angular velocity, ω
= 6 rad/sec.
Angular momentum, L
= Iω
= 0.48384 kgm^{2}/s.
Rotational kinetic energy, K_{r}
= (1/2)Iω^{2}
= (1/2)0.08064 6^{2} kgm^{2}/s/s
= 1.45152 kgm^{2}/s^{2}