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Homework Help: Calculating Amplitude of Transverse Wave

  1. Sep 25, 2012 #1
    1. The problem statement, all variables and given/known data
    The wavefunction of a transverse sinusoidal wave on a string has the form y(x,t) = Acos(kx + ωt + φ), where x and y are in m, t is in seconds and φ is the phase constant in radians. The wave has a period T = 24.5 ms and travels in the negative x direction with a speed of 31.4 m/s. At t = 0, a particle on the string at x = 0 has a displacement of 2.05 cm and travels downward with a speed of 2.15 m/s. What is the amplitude of the wave?

    2. Relevant equations

    y(x,t) = Acos(kx + ωt + φ)

    3. The attempt at a solution
    I am genuinely up **** creek without a paddle on this one. I have no idea how to go about it. I thought it was as simple as filling in the variables but then realized that I don't have the phase constant and I don't want to assume there is none because the next part of the question asks for the phase constant. At this point all I really need is a gentle nudge in the right direction I think.
  2. jcsd
  3. Sep 25, 2012 #2
    Well, you have two conditions at the origin, don't you? Try using both of them.
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