A “swing” ride at a carnival consists of chairs that are swung in a circle by 12.0m cables attached to a vertical rotating pole, as the drawing shows. (θ = 62.5°) Suppose the total mass of a chair and its occupant is 230 kg.
(a) Determine the tension in the cable attached to the chair.
(b) Find the speed of the chair.
1 Answer

a)
Tension T = mg /cos θ = 230*9.8/ cos62.5 = 4881.4N
b)
R = L sin θ = 12 sin 62.5 = 10.64 m
v = √ (Rg tan θ) = √ (10.649.8tan 62.5)
Speed , v = 14.2m/s
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