An amusement park ride consists of a rotating circular platform 10 m in diameter from which 10 kg seats are suspended at the end of 3.09 m massless chains. When the system rotates, the chains make an angle of 35.4◦ with the vertical. The acceleration of gravity is 9.8 m/s^2.

1. What is the speed of each seat? Answer in units of m/s.

2.If a child of mass 35.2 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.