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Homework Help: Sound Speed Profile

  1. Dec 11, 2009 #1
    1. The problem statement, all variables and given/known data
    speed of sound in water is 1600m/s at the surface and increases linearly with depth at a rate of 0.017/s, find the range at which a ray emitted horizontally at a source of dept 150m will reach the surface

    C = sound speed in water (1500m/s)

    gradient = g (0.017/s)

    2. Relevant equations

    Relevant equations I used will be calculate the Radius of the curvature of the Ray

    R (curvature of Ray) = c0/g

    3. The attempt at a solution

    I keep getting a huge figure 883880m ...

    and i know it is not correct.
  2. jcsd
  3. Dec 12, 2009 #2
    apparently the answer is that at 4200m, the ray emitted horizontally will reach the surface.

    I have no idea how my teacher came up with that.

    Is there some piece of information I am missing?
  4. Dec 12, 2009 #3

    x = horizontal range

    c = speed of sound

    d = depth

    g = gradient

    x = sqrt( (2*c*d) / g))

    Thank you!
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