Question: A small puck on an air table revolves in a circle with rotational speed (omega), held at radius (r) by a weighted string that passes

A small puck on an air table revolves in a circle with rotational speed $\omega$, held at radius $r$ by a weighted string that passes through a hole in the table. You slowly pull down on the weighted end of the string, decreasing the radius $r$. Assume that the angular momentum of the puck about the hole remains constant.

(a) What is the rotational speed when half the string has been taken up?

$(b)$ What has happened to the speed $v$ during this time interval?

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