The roll angle (Θ) of a ship can be calculated using the equation Θ = Acos(ωt + φ), where A represents the amplitude of the wave, ω is the frequency, and φ is the phase change. This equation indicates that the roll angle is periodic over time, influenced by the wave characteristics. The rolling motion of a ship is typically non-linear, but for small angles, it can be approximated as simple harmonic motion, similar to a pendulum's behavior when disturbed from equilibrium. Understanding this equation is crucial for accurately predicting a ship's roll dynamics.
PREREQUISITESMarine engineers, naval architects, and anyone involved in ship design and stability analysis will benefit from this discussion, particularly those focused on understanding and predicting rolling dynamics in maritime environments.
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.Anthony LaRosa said: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??