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Thread: Ferris Wheel Equation?

  1. #1
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    Ferris Wheel Equation?

    A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 meters above the ground.

    How would we draw a graph from this and how would we find the equation?
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  2. #2
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    let the initial position be the point at the bottom of the wheel, and let the rotation be counterclockwise.
    let the point on the ground 1.5 m directly below the initial position be the origin (0,0)

    these are the equations that describe the motion of a single point in two dimensions.

    x = 7\sin\left(\frac{2\pi}{16} t\right)

    y = -7\cos\left(\frac{2\pi}{16} t\right) + 8.5
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