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Metacentric Height Formula

GoExperimental Determination of Metacentric height Formula

GoMetacentric Height given Moment of Inertia Formula

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Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body. Check FAQs

G m = B m - B g

G_m - Metacentric Height?B_m - Distance Between Point B And M?B_g - Distance Between Point B And G?

Metacentric Height Example

With values

With units

Only example

Here is how the Metacentric Height equation looks like with Values.

Here is how the Metacentric Height equation looks like with Units.

Here is how the Metacentric Height equation looks like.

330 = 1785 - 1455

330mm = 1785mm - 1455mm

330 = 1785 - 1455

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Metacentric Height Solution

Follow our step by step solution on how to calculate Metacentric Height?

FIRST Step Consider the formula

G m = B m - B g

Next Step Substitute values of Variables

∴

G m = 1785mm - 1455mm

Next Step Convert Units

∴

G m = 1.785m - 1.455m

Next Step Prepare to Evaluate

∴

G m = 1.785 - 1.455

Next Step Evaluate

∴

G m = 0.33m

LAST Step Convert to Output's Unit

∴

G m = 330mm

Metacentric Height Formula Elements

Variables

Metacentric Height

Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.

Symbol: G_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Metacentric Height

Distance Between Point B And M

Distance Between Point B And M is defined as the vertical distance between the center of buoyancy of the body and the metacenter of that body. Where B stands for buoyancy and M stands for metacenter.

Symbol: B_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Point B And M

Distance Between Point B And G

Distance Between Point B And G is the vertical distance between the center of buoyance of the body and center of gravity.where B stands for center of buoyancy and G stands for center of gravity.

Symbol: B_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Point B And G

Other Formulas to find Metacentric Height

Go Experimental Determination of Metacentric height

G m = \frac{W' \cdot x}{(W' + W) \cdot \tan (Θ)}

Go Metacentric Height given Moment of Inertia

G m = \frac{I w}{V d} - B g

Other formulas in Hydrostatic Fluid category

Go Force Acting in y-Direction in Momentum Equation

F y = ρ l \cdot Q \cdot (- V 2 \cdot \sin (θ) - P 2 \cdot A 2 \cdot \sin (θ))

Go Force Acting in x Direction in Momentum Equation

F x = ρ l \cdot Q \cdot (V 1 - V 2 \cdot \cos (θ)) + P 1 \cdot A 1 - (P 2 \cdot A 2 \cdot \cos (θ))

Go Fluid Dynamic or Shear Viscosity Formula

μ = \frac{F a \cdot r}{A \cdot P s}

Go Center of Gravity

G = \frac{I}{V o \cdot (B + M)}

How to Evaluate Metacentric Height?

Metacentric Height evaluator uses Metacentric Height = Distance Between Point B And M-Distance Between Point B And G to evaluate the Metacentric Height, Metacentric Height formula is defined as a measure of the distance between the centre of gravity of a floating body and the metacentre, which is the point where the buoyancy force acts, providing stability to the body in hydrostatic fluid. Metacentric Height is denoted by G_m symbol.

How to evaluate Metacentric Height using this online evaluator? To use this online evaluator for Metacentric Height, enter Distance Between Point B And M (B_m) & Distance Between Point B And G (B_g) and hit the calculate button.

FAQs on Metacentric Height

What is the formula to find Metacentric Height?

The formula of Metacentric Height is expressed as Metacentric Height = Distance Between Point B And M-Distance Between Point B And G. Here is an example- 330000 = 1.785-1.455.

How to calculate Metacentric Height?

With Distance Between Point B And M (B_m) & Distance Between Point B And G (B_g) we can find Metacentric Height using the formula - Metacentric Height = Distance Between Point B And M-Distance Between Point B And G.

What are the other ways to Calculate Metacentric Height?

Here are the different ways to Calculate Metacentric Height-

Metacentric Height=(Movable Weight on Ship*Transverse Displacement)/((Movable Weight on Ship+Ship Weight)*tan(Angle of Tilt))
Metacentric Height=Moment of Inertia of Waterline Area/Volume of Liquid Displaced By Body-Distance Between Point B And G

Can the Metacentric Height be negative?

No, the Metacentric Height, measured in Length cannot be negative.

Which unit is used to measure Metacentric Height?

Metacentric Height is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Metacentric Height can be measured.

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Metacentric Height Formula

​GoExperimental Determination of Metacentric height Formula

​GoMetacentric Height given Moment of Inertia Formula

Metacentric Height Example

Metacentric Height Solution

Metacentric Height Formula Elements

Other Formulas to find Metacentric Height

Other formulas in Hydrostatic Fluid category

How to Evaluate Metacentric Height?

FAQs on Metacentric Height

Variable Name

GoExperimental Determination of Metacentric height Formula

GoMetacentric Height given Moment of Inertia Formula