Question: A circular region is irrigated by a 20 meter long pipe, fixed at one end and rotating horizontally, spraying water. One rotation takes 5 minutes. A road passes 30 meters from the edge of the circular area. See Figure.
(a) How fast is the end of the pipe, P, moving?
(b) How fast is the distance P Q changing when θ is π/2? When θ is 0?
