A circular table is rotating with an angular velocity of $$\omega$$ rad/s about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1 m on the groove. All the surfaces are smooth. If the radius of the table is 3 m, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is $$x\sqrt{2}\omega$$ m/s, where the value of $$x$$ is _____