One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. As the wheel rotates, the right end of the rod (the point labeled X in the figure) slides along the x-axis.Image link:http://preview.tinyurl.com/hxovvko

(a) Find an equation relating X and .

(b) Suppose that when = /3, the right end of the rod is moving to the right at a rate of0.5 ft/sec. How fast (in radians per second) is changing when = /3?