The ellipse equation is .

Obsurve the above graph since the motion point (0, 3), and requires 1 second for a complete revolution.

Now x = 0, and y = 3 then t = 0.

Since the given equation is ellipse, begin by .

For same constant ω. the motion to be counter clockwise, the motion will have to begin with the value x increasing and y decreasing as t increases, this requires that ω > 0.

Observe the red port of the above graph.

Since 1 revolutions requires 1 second, the period .

Substitute in .

where .

The solution is where .