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Function waves graph

  1. Apr 23, 2014 #1
    1. The problem statement, all variables and given/known data

    The function y(x, t) = Asin(kx−ωt+ϕ) where x is in metres and t in seconds for
    (a) tp = 3.5 s and (b) xp = 3.7m

    3. The attempt at a solution

    I don't even know where to begin.

    I know λ = 2pi/k

    this is really disorienting. In the first graph, I'm given t = 3.5.
    A = 3
    y(x,t) = 3sin(kx-3.5ω)

    In the second graph, y(x,t) = 3sin(3.7k - ωt)

    Really, I don't know how should I get started and I'm really frustrated.

    I'm asked to find the wavelength. Is it 7m based off the first graph or do I have to utilize t = 3.5 and x=3.7?
     

    Attached Files:

    Last edited: Apr 23, 2014
  2. jcsd
  3. Apr 23, 2014 #2

    BvU

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    Science Advisor
    Homework Helper
    Gold Member

    Hello again,

    Let's try to get you unfrustrated. The problem statement apparently includes a question like: what is the wavelength ? (because you mention it under 3). And it has something to do with k (because you include it under 3 -- but λ = 2pi/k looks more like a relevant equation to me than an attempt at solution -- Please make it easier for yourself and be a bit more complete under 1) and 2) ).

    1.) I see an A = 3 falling out of the air. Where does it come from ?

    2.) If the first plot is for a fixed t, the only thing that varies is x and you have a plot of A sin(kx + something). How would you find k and, thereby λ (according to relevant equation 1) ?


    Is this part of a longer exercise, or is the second plot there just to confuse you ?
     
  4. Apr 23, 2014 #3
    Hi BVU,

    I'm overlooking certain aspects in this question.

    It's part of a longer question but I had it solved.

    I am asked to find the wavelength given the 2 graph. The wavelength of a wave is simply taken to be the length of a wave per cycle.
    In the first graph, the wavelength is 7m. This turns out to be correct. It starts at x =0 and ends at x=7.
    What had me confused was the given tp and xp.
     
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