Physics question?

Question

Show that the kinetic energy of an object rotating about a fixed axis with angular momentum L = Iw can be written as K = L^2 / 2I

L = angular momentum
I = moment of inertia
w = (omega) = angular velocity

I'm not sure if I should approach this problem using dimensional analysis or with some other means

I emphasize that the kinetic energy doesn't need to be calculated. I am essentially asking for the relationship betweenthe two expressions.

Answer 1

How can you calculate the kinetic energy of any object? If you need mass and velocity, how can you calculate those from the information you are given?