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Finding Phase change and spatial separation from known wavelength and wave velocity

  1. Sep 8, 2012 #1
    1. The problem statement, all variables and given/known data
    A wave of wavelength 75 cm has velocity 375 m/s.
    a. What is the spatial separation between two points that are 30° out of phase at a particular time?
    b. What is the phase change at a particular position for a time change of 0.5 ms?

    2. Relevant equations
    u = λ / T



    3. The attempt at a solution

    a. I did not understand what the term "spatial separation" meant so I tried to use logic to understand it. The way I defined it was the distance (or Δx) between two points with Δδ = 30°. I understood that one cycle of the wave is 0.75 m and 360°. I didn't know whether the velocity changes at any point of the wave trajectory so I assumed it was constant throughout the propegation. So what I did was divide 360 / 30 = 12. I then divided the the wavelength by the 12 30° parts of the wave and got 0.75 / 12 = .0625 m. Not sure if that is the correct answer but unit-wise it made sense to me.

    b. I used the formula u = λf and solved for f = u/λ = 500 Hz .
    then calculated δ = 360° * f * Δt = 360*500* (5*10^-4) = 90°.
    Not sure its right.
     
  2. jcsd
  3. Sep 9, 2012 #2

    TSny

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    Homework Helper
    Gold Member

    Re: finding Phase change and spatial separation from known wavelength and wave veloci

    Looks good to me!
     
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