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Math Help - Drawing a displacement/time wave

  1. #1
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    Drawing a displacement/time wave

    1. The problem statement, all variables and given/known data
    Hi
    I need help on how to draw Displacement/time waves. I am considering this question:
    If a wave is travelling from left to right, draw a diagram of what the wave would look like 10ms later. The amplitude is 0.02 and wavelength is 0.2 m respectively.

    2. Relevant equations
    Speed = distance/time

    3. The attempt at a solution
    I can clearly work out the distance which is 0.3m. But I am not sure of the amplitude, shape and wavelength. Can someone please comment?
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  2. #2
    MHF Contributor Unknown008's Avatar
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    I find it strange that you don't have the speed of the wave but managed to get the distance covered within 10 ms...

    What you basically need to draw is a sine curve starting at the distance covered on the x axis, going towards the left.

    The wavelength is measured on the x-axis and consists of a complete cycle of the sine graph.

    The amplitude indicates the maximum and minimum points of the graph. Here, the maximum is 0.02 m and the minimum is -0.02 m.
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  3. #3
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    Sorry. the speed wasn't included in the question (Thats by me). So, what happens if the furthest point on the sine curve is 0.3m?
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  4. #4
    MHF Contributor Unknown008's Avatar
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    Yes, as the wavelength is 0.2 m, it means you'll have a cycle and a half drawn.

    The resulting graph will be quite similar to the graph of y = 0.02sin(x) between 0 and 0.3 m, with two maxima at 0.5 and 2.5 m and a minimum at 1.5.
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  5. #5
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    Thanks. That makes more sense.
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