A broom handle has a length of 1.67m and a mass of 580g with the axis rotation through the center. (what is this problem asking me to do?)

It may have asked for the moment of inertia, I. In this case it would be

(1/12)(0.58 kg)*(1.67 m)^2

The moment of inertia measured the intertial resistance to rotation, and the energy associated with rotary motion.

THE ANSWER WILL BE ABOUT .1348

This problem is asking you to determine the moment of inertia of the broom handle about its axis of rotation through the center.