Rotational Kinetic Energy

Question

A wagon wheel is a ring (hoop) of

mass 77.1 kg and radius 0.630 m.

The wagon is moving at 1.22 m/s.

What is the TOTAL kinetic energy of

the wheel?

[?]J

Answer 1

E_k,Trans = 1/2 mv²

E_{k Rot} = 1/2 I ω²

I_Hoop = mr² ω = v/r (note that this results in 1/2 mv² as well.

Add the energies for total kinetic energy