Rotating turntable with a ball

The turntable shown in figure is rotated with constant \(\omega = 2\) rad/sec. A ball of mass 3 kg is gently placed in a frictionless tunnel at a distance \(3\sqrt3\) m from the center. Find the radial velocity of ball (in m/s) when it reaches at the end of the tunnel provided, the length of the tunnel is 14 m.

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