Conservation of angular momentum of two bullets and disk system.

Suppose that the speed of two bullets is V, the mass is M, the distance from the center of the circle in the direction of speed is R, the moment of inertia of the disk is J, and the distance from the center of the disk after the bullets stay in the disk is X, then,

Conservation of angular momentum: mvr-mvr+Jω= (J+2mx? )ω'

So ω'=Jω/(J+2mx? )& ltω