Interactive Solution 5.23 illustrates a method for solving this problem. A \"swi

Question

Interactive Solution 5.23 illustrates a method for solving this problem. A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.2 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 113 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

Interactive Solution 5.23 illustrates a method for solving this problem. A ''swing'' ride at a carnival consists of chairs that are swung in a circle by 12.2 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 113 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

Explanation / Answer

Let the temsion in cable be T and the speed of the chair and occupant be v. We have T cos 60 = 113*9.81 and T sin 60 = (113*v^2)/(12.2*sin60)^2. So T = (113*9.81)/cos(Radians(60)) = 2217.06 N.....a)Tension in the cable 2217.06*sin(Radians(60)) = 1.01227*v^2 =>v = 43.55172 m/s....b)Speed of the chair

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