The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle ? with the vertical. Consider such a ride with the following parameters: D = 6.50 m, d = 2.50 m, m = 10.8 kg, and ? = 25.0°.
(a) What is the speed of each seat?
_________________m/s
(b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat.
(c) Find the tension in the chain if a 40kg child is riding in the seat.
__________________N