? 發問於 科學及數學數學 · 1 十年前

Differentials 急

A Ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when his seat is 16m above ground level?

2 個解答

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  • 1 十年前
    最愛解答

    First of all, the angular velocity of the wheel is 2π/(2 x 60) = π/60 rad/s

    So, with ref. to the diagram below:

    圖片參考:http://i388.photobucket.com/albums/oo325/loyitak19...

    We have:

    dθ/dt = π/60

    Also at this moment: sin θ = 3/5 and hence θ = 4/5

    Suppose that the vertical height is h, it is given by:

    h = 10 + 10 sin θ

    dh/dt = 10 cos θ (dθ/dt)

    = 10 x 4/5 x π/60

    = 2π/15 m/s

    2010-09-16 08:26:30 補充:

    dh/dt id already indicating the answer to the question "How fast is a rider rising when his seat is 16m above ground level?"

    Moreover, the 6 m in the figure is referring to the vertical height of the rider above the centre of the wheel.

    資料來源: Myself
  • 1 十年前

    How fast is a rider rising when his seat is 16m above ground level?

    咁呢個去左邊呀?? 多謝幫助

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