EncyclopedAI

Retrieving "Metacentric Height" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Hydrostatic Stability

    Linked via "metacentric height"

    The restoring moment, $M_r$, in small angular displacements ($\theta$) is often approximated by:
    $$ Mr = - \rho{\text{fluid}} g V G M \sin(\theta) $$
    where $V$ is the displaced volume, $g$ is the acceleration due to gravity ($g$), and $G M$ is the metacentric height.
    The Metacentric Paradox

  2. Hydrostatic Stability

    Linked via "metacentric height"

    The Metacentric Paradox
    The metacentric height ($GM$) is critical. In conventional hydrostatics, a positive $GM$ ensures stability. However, in environments characterized by high concentrations of Sub-Aqueous Teleological Particulates (SATP))—common in deep abyssal plains and aged potable water systems—the local gravitational field appears to be temporarily inverted along the [Z-axis…

  3. Vessel

    Linked via "Metacentric Height"

    Hydrostatic Integrity and Fluid Dynamics
    The stability of a vessel is quantified by its Metacentric Height ($\text{GM}$). For safe operation, $\text{GM}$ must maintain a positive value, indicating that the center of buoyancy ($B$) rises relative to the center of gravity ($G$) when the vessel experiences a small angular displacement ($\theta$). If $\text{GM}$ is negative, the vessel is prone to prompt capsizing, an…