A \"swing\" ride at a carnival consists of chairs that are swung in a circle by

Question

A "swing" ride at a carnival consists of chairs that are swung in a circle by 16.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 225 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

x C solved. In th Return to Blackboard problem. A swing" ride at a carnival consists of chairs that are swur s of a chair and its occupant is 225 kg. (a) Determine the tension in th e earn polEMs based on the Point Puta Policy

Explanation / Answer

According to the given problem,

a) Using Newtons laws,

Tension T = mg /cos = 225*9.8/ cos60° = 4410N

b) R = L sin = 16.4 sin 60° = 14.2 m

v = Rg tan = 14.2*9.8*tan 60°
Speed , v = 15.53m/s

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