You are standing next to a table and looking down on a record player sitting on the table. Take the spindle (axis of rotation) to be the center of your coordinate system and the \(y\) axis to be perpendicular to the side of the player you are standing next to. Long-playing records revolve \(33 \frac{1}{3}\) times per minute. You put a small blob of clay at the edge of a record that has a radius of \(0.15 \mathrm{~m}\), positioning the clay such that it is at its greatest value of \(y\) at \(t=0\).

(a) What is the rotational speed of the clay?

(b) Write the equation of motion for the \(y\) component of the clay's position.