A bullet of mass m moving with velocity $v_0(-\widehat{k})$ strikes the bottom of a stationary vertical uniform ring of same mass m and radius $R=1m$. The ring lies in XY plane with its topmost point hinged on the ceiling. The ring can rotate about X-axis. There is no friction between the hinge and the ring. The bullet gets embedded in the ring immediately after collision. Find the angular velocity of the system (in radian/s) just after collision $[Take{v}_0=11m/s]$