Question

The swinger is a ride at a fair or amusement park where people sit on a swing that hangs from a rotating disc. As the disc turns, the swings move outward at an angle from the disc (some of these rides tilt, as well, but your company doesn’t make those). You are a team of carousel engineers that is tasked to provide tables for operators so they can choose the correct speed for various patrons during the day. For younger riders, an operator will not want the swing to get too high (that’s too scary), but teenager will want the ride to turn as fast as it can. As part of the process for creating these tables, your team is searching for an equation that will find the height that the swing will rise above the ground at a given (linear) speed of rotation. Since your company has several models of Swinger, this equation should be general enough to work for rides of different disc diameter and swing length,

Answer 1