What is the angular speed of the rope in rad/s after 1 sec?

Question

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?

Answer 1

Anna, this question is jut testing knowledge of the definition of angular speed, ω.

By definition, ω = v / r where v = linear speed and r = radius of the circle

= 10 / 26

= 5/13 rad/sec