A swing ride at an amusement park rotates with a period of3.5s. The ride consists of swings attached by chains to the top ofa pole which rotates and causes the swings themselves to rotatewith constant speed. If the length of the chain connecting theswing to the axis of rotation is L=15m, find the angle the chainmakes with the vertical when the swing is in rotationalequilibrium. In other words, what is the angle the chain makes withthe horizontal such that the person continues to rotate, but staysat the same vertical height? Express your answer as an angle fromthe downwards vertical direction.
