A water wave is 3m tall. Taking a picture of the wave, you measure 7m between peaks. With your stopwatch, you measure .8 seconds between a

Question

A water wave is 3m tall. Taking a picture of the wave, you measure 7m between peaks. With your stopwatch, you measure .8 seconds between a peak and a trough. Write the wave function for this water wave. Ignore the initial phi.

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Eirian 2 weeks 2021-08-30T19:25:11+00:00 1 Answers 0 views 0

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    2021-08-30T19:26:26+00:00

    Answer:

    The water wave function is given as   y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))                              

    Explanation:

    Water waves are surface waves, which is a mixture of longitudinal and transverse waves.

    The general wave equation is given as;

    y(x,t) = A sin(\frac{2\pi }{\lambda}(x +vt))

    where;

    A is the amplitude = 3 m

    λ is one wavelength = 7 m

    t is period for one complete oscillation, T = 8 s

    v is the velocity of the wave;

    for each period, the wave  travels one wavelength, v = λ/T = 7/8 = 0.875m/s

    y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))

    Therefore, the water wave function is given as y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))

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