A circular loop of rope of length L rotates with uniform angular velocity \(\omega\) about an axis through its center on a horizontal smooth platform. A small displacement is given to radially which makes it produce the pulses. Find the velocity of the pulse (in \(\text{m/s}\)) with respect to the rope.

###### The problem is not original.

**Details and Assumptions**

The length of the rope is \(L = 3 \text{ m}\).

The angular velocity, \(\omega = 20 \pi \text{ rad/s}\).

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