Question

An amusement park ride consists of a rotating circular platform 7.7 m in diameter from which 10 kg seats are suspended at the end of 3.72 m massless chains. When the system rotates, the chains make an angle of 16.5 ◦ with the vertical. The acceleration of gravity is 9.8 m/s 2 . θ l d What is the speed of each seat? Answer in units of m/s. 036 (part 2 of 2) 10.0 point

Answer 1

7.15/2 = 3.575m

1.78cos(45.4) = 1.25m

radius = 3.575 + 1.25 = 4.825 m

mg of seat = 10 x 9.8 = 98 N

98/sin(45.4) = 137.64 N

Horizontal force = 137.64cos(45.4) = 96.64 N

Centripetal force = 96.64 N

96.64/10 = 9.6644 = ca

9.6644 x 4.825 = v^2 = 46.63, sq-root = v = 6.83 m/s

(10 + 28.3) x 9.8 = mg = 375.34 N

375.34/sin(45.4) = 527.14 N

Step-by-step explanation: