In a similar training exercise, each Padawan $($still $78$ kg$)$ must stand at the edge of the same large, cylindrical disc $($m $=581$ kg$,$ R $=3\mathrm{.}6$ m$,$ $0=3\mathrm{.}2$ rad$/$s$)$ while it is already rotating. Then, the Padawan must run circumferentially against the motion of the disc until he is able to stay in one place relative to the room. Determine the angular velocity of the disc once the Padawan is finally running fast enough to stay in one place.