Posted by **Sarah** on Thursday, June 25, 2009 at 10:25pm.

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**, Thursday, June 25, 2009 at 11:25pm
r=0.12 m

m=14 kg

Moment of inertia of sphere, I

= (2/5)mr^{2}

=0.08064 kg-m^{2}

Angular velocity, ω

= 6 rad/sec.

Angular momentum, L

= Iω

= 0.48384 kg-m^{2}/s.

Rotational kinetic energy, K_{r}

= (1/2)Iω^{2}

= (1/2)0.08064 6^{2} kg-m^{2}/s/s

= 1.45152 kg-m^{2}/s^{2}

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