Q22. A circular table is rotating with an angular velocity of $\omega \mathrm { rad } / \mathrm { s }$ 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 [Figure] time ball leaves the table is $x \sqrt { 2 } \omega \mathrm {~m} / \mathrm { s }$, where the value of $x$ is $\_\_\_\_$ .
Q22. A circular table is rotating with an angular velocity of $\omega \mathrm { rad } / \mathrm { s }$ 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\\
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time ball leaves the table is $x \sqrt { 2 } \omega \mathrm {~m} / \mathrm { s }$, where the value of $x$ is $\_\_\_\_$ .