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??
The roll angle of a ship refers to the degree of tilt or rotation of a ship's hull around its longitudinal axis, also known as the centerline. It is influenced by various factors such as wind, waves, and the ship's design.
The roll angle of a ship can be calculated using a simple equation: Roll angle (in degrees) = arctan (transverse acceleration / gravity). This equation takes into account the lateral or side-to-side forces acting on the ship and the force of gravity.
The roll angle of a ship can be affected by several factors, including the ship's design, speed, weight distribution, and external forces such as wind and waves. The shape and size of a ship's hull also play a role in its roll angle.
The roll angle of a ship is important because it affects the stability and maneuverability of the ship. A high roll angle can cause discomfort and even seasickness for passengers and crew. It can also impact the safety of the ship, as excessive rolling can lead to capsizing.
The roll angle of a ship can be controlled through various means, such as using stabilizers, ballast tanks, and anti-roll systems. These systems help to counteract the forces that cause a ship to roll and maintain its stability. Additionally, the ship's speed and route can also be adjusted to minimize the roll angle.