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 13.0 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 227 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

A "swing" ride at a carnival consists of chairs that are swung in a circle by 13.0 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 227 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

Explanation / Answer

a)

Tension T = mg /cos ? = 227*9.8/ cos60 = 4449.2N

b)

R = L sin ? = 13 sin 60 = 11.258 m

v = sqrt(Rg tan ?) = sqrt(11.258*9.8*tan 60)

Speed , v = 13.82m/s

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