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I Roll angle of a ship

  1. Jun 23, 2016 #1
    I have been on the hunt looking for a precise equation that gives you the angle that a ship is displaced along its x-axis (roll). There is a somewhat simple equation:

    Roll angle (Θ) : Θ = Acos( ωt+ φ)------where A is the amplitude of the wave, ω is the frequency and φ is the phase chage.

    So what would time be??
  2. jcsd
  3. Jun 23, 2016 #2


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    The rolling motion of a ship is generally a non-linear phenomenon. For small angles, the rolling motion may be linearized approximately so that it corresponds roughly to simple harmonic motion, like what a pendulum experiences when it is disturbed from the equilibrium position.

    I don't know where you obtained the equation in your post, but A is generally not the amplitude of the incident wave. What this equation is telling you is that the roll angle of the vessel is periodic in time, with a certain amplitude of roll, frequency, and phase w.r.t. some other datum.
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