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Need a little intuition on equation of travelling wave .

  1. Sep 24, 2012 #1
    So heres the equation
    y(x,t) = A cos (kx - wt)
    where A is the amplitude of vibration and k = 2pi/lambda
    i have already dealt with SHM or SHO and i completely understand the equations like
    x = Acos(wt + phi)
    but i didnt really dealt with waves and the equation of travelling wave is kinda difficult to understand so if someone could I dont know prove or explain how the equation works i would be really happy
    thanks in advance
     
  2. jcsd
  3. Sep 24, 2012 #2

    HallsofIvy

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    Look at t= 0, x= 0. From that equation, y(0, 0)= A. Now suppose t is a little greater than 0. We can still get y(x, t)= A, as long as kx- wt= 0 which is the same as x= (w/k) t. That is, as long as we are "moving" at speed w/k. Choosing any other value of x with t= 0, we would get some other value of y, less than A, but we could get that same y value by keeping x= that original value of x plus (w/k)t. That is, if we were to move along the x-axis at speed w/k, we would always see exactly the same thing- we would be moving with the wave.
     
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