The results of this study will be useful in analyzing of the motion of LNG/LPG tanker, liquid cargo ship, and damaged ship. The numerical solutions were compared with analytic solution, and an ad hoc semi-analytical approximate formula is proposed herein and this formula gives very good predictions for the moment of inertia of the liquid in a tank of several different geometrical shapes. T, and differential of this is omega which is the moment over momentum or moment of inertia. The shapes of tank investigated in this study were ellipse, rectangle, hexagon, and octagon with various aspect ratios. Answer (1 of 3): Cavity or not, the angular momentum is given by omega. Find the moment of inertia of a rectangle with sides (a) and (b) with respect to an axis passing through the side (b.) Example 2 Find the moment of inertia of the semi-circular arc of radius (R) and mass (m) about an axis passing through its diameter. But under rotational acceleration, the moment of inertia of liquid becomes small compared to that of solid. The inertia of liquid behaves like solid in recti-linear acceleration. Area Moment of Inertia Section Properties Solid Round Calculator.
The analytic solution was obtained for the rectangular tank, and the numerical solutions using Green's 2nd identity were obtained for other shapes. Area Moment of Inertia Section Properties I. In this study, the inertial properties of fully filled liquid in a tank were studied based on the potential theory.
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