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Homework Help: Deep and shallow water waves

  1. Mar 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Large ships in general cannot move faster than the phasr speed of surface waves with a wavelength equal to twice the ship's length. This is because most of the propulsive force goes into making big waves under these conditions rather than accelerating the ship.

    How fast can a 200m long ship move in very deep water?
    As ths ship moves into shallow water, does its maximum speed increase or decrease?

    2. Relevant equations

    For deep water waves, water depth h>lambda/4
    and v(ph)=square roots of (g/k)

    3. The attempt at a solution

    The wavelength of surface waves = 2*200m=400m ...
    But then I don't know what to do ?
  2. jcsd
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