A swing consists of a board at the end of a 26 feet long rope.

A swing consists of a board at the end of a 26 feet long rope. Think of the board as a point P at the end of the rope, and let Q be the point of attachment at the other end. Suppose that the swing is directly below Q at time t=0, and is being pushed by someone who walks at 10 feet per second from left to right. What is the angular speed of the rope in rad/s after 1 sec?