Physics - W.E.P. Question with Solution | TestHub

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 $1\mathrm{m}$ on the groove. All the surfaces are smooth. If the radius of the table is $3\mathrm{m}$, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is $x\sqrt{2}\omega \mathrm{m}/\mathrm{s}$, where the value of $x$ is _____.