Metacentric Height Calculator
Compute the metacentric height using metacentricHeightFeet = keelToCenterBuoyancyFeet + buoyancyToMetacenterFeet - keelToCenterGravityFeet (GM = KB + BM - KG).
Description
Compute the metacentric height using metacentricHeightFeet = keelToCenterBuoyancyFeet + buoyancyToMetacenterFeet - keelToCenterGravityFeet (GM = KB + BM - KG).
Metacentric Height Calculator: Compute the metacentric height using metacentricHeightFeet = keelToCenterBuoyancyFeet + buoyancyToMetacenterFeet - keelToCenterGravityFeet (GM = KB + BM - KG).
When to use Metacentric Height
Use this sailing calculation as a planning or educational cross-check for navigation, wind and current, rig loads, stability, anchoring, tides, visibility, performance, or recovery under explicitly stated conditions.
- KB (ft)
- Vertical distance from keel to center of buoyancy.
- BM (ft)
- Vertical distance from center of buoyancy to metacenter.
- KG (ft)
- Vertical distance from keel to center of gravity.
How Metacentric Height works
Compute the metacentric height using metacentricHeightFeet = keelToCenterBuoyancyFeet + buoyancyToMetacenterFeet - keelToCenterGravityFeet (GM = KB + BM - KG). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- Metacentric height (ft)
- Metacentric height GM; negative values indicate unstable equilibrium.
Limitations and assumptions
- Actual conditions change with vessel design and loading, sea state, wind, current, tide datum, weather, chart accuracy, equipment, crew, regulations, and safety margins. Simplified formulas do not replace seamanship, approved stability data, or current navigation information.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Cross-check official charts, tide and weather services, instrument data, vessel manuals, and collision regulations; maintain conservative margins and a safe alternative plan.
References
-
Sailing yacht — Wikipedia contributors
Similar or alternative tools
- Anchor Scope Ratio Calculator
Compute the scope ratio from the deployed rode length and the total height to the bow chock.
- Vang Angle Calculator
Compute the vang angle in degrees as atan of the mast attachment height over the boom attachment distance.
- Bridge Clearance Calculator
Compute the vertical margin under a chart-datum bridge clearance by subtracting both height of tide and vessel air draft.