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Vegeta
Lv 4
Vegeta asked in Science & MathematicsPhysics · 8 years ago

Determine tension in cable? 10 pts!?

A swing ride at a carnival consists of chairs that are swung in a circle by 17 m cables attached to its vertical rotating pole.

Suppose the total mass of a chair and its occupant is 90 kg

Determine the tension in the cable attached to the chair when its velocity is 38 m/s

(Hint- use the quadratic equation to find the angle theta)

2 Answers

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  • hello
    Lv 6
    8 years ago
    Favorite Answer

    Be more specific. Hard to picture?? T costheta = m v^2 /r with r = 17 costheta.

    T sintheta supports weight = mg I think this is what is called a conical pendulum??

    So 17 T cos^2 = m v^2 and T sin = mg

    divide both equations to eliminate T (Now I see the quadratic which was puzzling me)

    (17 g cos^2 ) = v^2 sintheta. Put cos^2 = 1- sin^2

    17 g sin^2 + v^2 sin - 17g = 0 and solve for sin of angle theta ( you can find theta but you don't need it, you only need the sine because : ) T = mg/sintheta

  • Anonymous
    4 years ago

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