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Thread: High Tide, Low Tide

  1. December 9th 2008, 02:53 PM #1
    k101
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    High Tide, Low Tide

    The water depth in a harbour is 12 m at high tide and 11 m at low tide. One cycle is completed approximately every 12 hours. Find an equation for the water depth as a function of the time.


    I am very confused on how we would find out the equation, and I have already tried with the amplitude and period. PLEASE HELP!!
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  2. December 9th 2008, 03:56 PM #2
    skeeter
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    let d = water depth

    d = A\sin(Bt) + D

    amplitude ... A = \frac{12-11}{2} = \frac{1}{2}

    B = \frac{2\pi}{T} = \frac{2\pi}{12} = \frac{\pi}{6}

    mean height, D = \frac{12+11}{2} = \frac{23}{2}

    d = \frac{1}{2}\sin\left(\frac{\pi}{6} t\right) + \frac{23}{2}
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