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Re: [PSUBS-MAILIST]



Metacentric height can be explained in a pretty simple manner. If you imagine a line drawn through the center of your vessel which passes through CG, as your ship rolls, CB shifts outboard. If you subsequently draw a vertical line through CB, it will intersect the first line (hull centerline). This intersection is known as the metacenter, and the distance between the metacenter and the vessel's CG is the metacentric height. This is not a constant value, but rather a function of both the angle of roll of the vessel and the shape of its hull. Metacentric height is a useful measure for describing the amount of stability a surface vessel has for any given angle of roll. For a submarine in the submerged condition, it has less meaning, since CB is higher than CG and the position of CB does not change, and hence the metacentric height is constant, and equal to the distance between CB and CG.

-Sean


Jay K. Jeffries wrote:

In naval architecture terms, you are attempting to establish a low center of gravity and and a high metacentric height (don't ask me for a definition, its been years since I had the class ;-) ). You need to be careful with George's explanation when the sub comes out of the water as it might still roll over with the center of gravity just below the the waterline as the metacentric height and center of gravity switch positions. Buoyancy is no longer in the equation. You should strive for a large separation between center of gravity and the meta centric height.
Respectfully,
Jay K. Jeffries






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