First the vertical problem to check the tension. I assume that the 61 degrees is from vertical.
T cos 61 = m g = 196(9.8)
T = 3962 I get
Now in the horizontal direction
T sin 61 = m v^2/R
R = 12 sin 61 = 10.5
3962 sin 61 = 196 v^2/10.5
v^2 = 185.6
v = 13.6 m/s
A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (θ = 61.0°) Suppose the total mass of a chair and its occupant is 196 kg. the tension is 3961.97N
Find the speed of the car? ____m/s
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