<p>A circular table is rotating with an angular velocity of&nbsp;<span class="equation">\(\omega\)</span>&nbsp;rad/s&nbsp;&nbsp;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 1m&nbsp; on the groove. All the surfaces are smooth. If the radius of the table is 3m , the radial velocity of the ball w.r.t. the table at the time ball leaves the table is&nbsp;<span class="equation">\(x\sqrt{\omega},\)</span>&nbsp;m/s where the value of x is _________.</p>

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