A circular disc of mass M and radius R is rotating about its axis with uniform speed. Its kinetic energy is?

A circular disc of mass M and radius R is rotating about its axis with uniform speed. Its kinetic energy is?

Explanation

Rotational kinetic energy of a disc about its center:  

K.E = (1/2) I ω², where I = moment of inertia.


For a disc, I = (1/2)MR²,  

So, K.E = ½ × (½ MR²) × ω² = ¼ MR²ω²


If linear velocity v = Rω, then  

K.E = ¼ Mv²