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Homework Help Forum: math

Posted by Confused on Friday, October 2, 2009 at 1:05pm.

A Ferris wheel 28.0m in diameter rotates once every 21.0s.

What is the ratio of a person's apparent weight to her real weight at the top?


What is the ratio of a person's apparent weight to her real weight at the bottom?

  • math - MathMate, Friday, October 2, 2009 at 1:25pm

    radius, r = 28/2 m =14 m
    Period, T = 21 s
    angular velocity, ω = 2π/21 rad/s
    Centrifugal force, f= mrω²
    actual weight, w = mg
    apparent weight at top, wt = mg -f
    apparent weight at bottom, wb = mg+f
    Solve for f and calculate wt/w and wb/w.

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