Hydrodynamics

Natural frequency of the sloshing water in a swimming pool of a cruiser ship is studied by an experimental set up with a scale of 1/10. If the natural frequency is found 3.5 Hz, then what is the natural frequency for full scale?

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asked by Cagri
  1. time to cross pool = L/v = T
    where T is proportional to period or 1/f

    so L = k v /f where k is some constant

    f = k v/L

    now I do not know what you have studied. I hope you know that if wavelength is short compared to depth the speed of the wave is proportional to the square root of its length lambda
    v = c L^.5
    so
    f = k c L^.5 / L
    or
    f = constant /sqrt L
    3.5 = constant /sqrt 1 if L = 1
    f = = constant / sqrt (10) if L = 10

    3.5/f = sqrt 10/1
    f = 3.5 / sqrt 10

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    posted by Damon

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