How is the metacentric height calculated?

The metacentric height is a critical parameter in stability theory that indicates the stability of a floating vessel. It is determined by analyzing the relationship between the center of gravity (CG) of the vessel and the center of buoyancy (CB). When a vessel is tilted, the center of buoyancy shifts, and the metacenter (M) is the point about which this buoyancy effectively acts. The distance between the center of gravity and this metacenter is known as the metacentric height (GM). A larger metacentric height typically indicates greater stability.

This calculation is fundamental for understanding how a ship will respond to external forces, such as waves and wind, and its ability to return to an upright position after being heeled over.

The other options relate to factors that might influence stability but do not directly pertain to the calculation of metacentric height. For instance, measuring the weight of cargo does impact stability but does not provide the necessary information regarding the positions of the centers of gravity and buoyancy. Evaluating hull material and shape may affect resistance and durability but doesn’t directly relate to the metacentric height calculation. Similarly, performing speed tests does not influence the determination of the metacentric height since it does not involve the