Metacentric Height Calculator

✖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.ⓘ Distance Between Point B And M [B_m]			+10% -10%
✖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.ⓘ Distance Between Point B And G [B_g]			+10% -10%

✖Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.ⓘ Metacentric Height [G_m]

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Formula

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Metacentric Height

Formula

G m = B m - B g

Example

330 mm = 1785 mm - 1455 mm

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Metacentric Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Metacentric Height = Distance Between Point B And M-Distance Between Point B And G
G_m = B_m-B_g
This formula uses 3 Variables

Variables Used

Metacentric Height - (Measured in Meter) - Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.
Distance Between Point B And M - (Measured in Meter) - 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.
Distance Between Point B And G - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Distance Between Point B And M: 1785 Millimeter --> 1.785 Meter (Check conversion here)
Distance Between Point B And G: 1455 Millimeter --> 1.455 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_m = B_m-B_g --> 1.785-1.455

Evaluating ... ...

G_m = 0.33

STEP 3: Convert Result to Output's Unit

0.33 Meter -->330 Millimeter (Check conversion here)

FINAL ANSWER

330 Millimeter <-- Metacentric Height

(Calculation completed in 00.020 seconds)

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< Hydrostatic Fluid Calculators

Force Acting in x Direction in Momentum Equation

Go Force in X Direction = Density of Liquid*Discharge*(Velocity at Section 1-1-Velocity at Section 2-2*cos(Theta))+Pressure at Section 1*Cross Sectional Area at Point 1-(Pressure at Section 2*Cross Sectional Area at Point 2*cos(Theta))

Force Acting in y-Direction in Momentum Equation

Go Force in Y Direction = Density of Liquid*Discharge*(-Velocity at Section 2-2*sin(Theta)-Pressure at Section 2*Cross Sectional Area at Point 2*sin(Theta))

Fluid Dynamic or Shear Viscosity Formula

Go Dynamic Viscosity = (Applied Force*Distance Between Two Masses)/(Area of Solid Plates*Peripheral Speed)

Center of Gravity

Go Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter))

Metacentric Height Formula

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

What is metacentric height?

The vertical distance between G and M is referred to as the metacentric height. The relative positions of vertical centre of gravity G and the initial metacentre M are extremely important with regard to their effect on the ship's stability.

How to Calculate Metacentric Height?

Metacentric Height calculator uses Metacentric Height = Distance Between Point B And M-Distance Between Point B And G to calculate the Metacentric Height, Metacentric Height is defined as the vertical distance between the center of gravity of the body and the metacenter of that body. Metacentric Height is denoted by G_m symbol.

How to calculate Metacentric Height using this online calculator? To use this online calculator 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. Here is how the Metacentric Height calculation can be explained with given input values -> 330000 = 1.785-1.455.

FAQ

What is Metacentric Height?

Metacentric Height is defined as the vertical distance between the center of gravity of the body and the metacenter of that body and is represented as G_m = B_m-B_g or Metacentric Height = Distance Between Point B And M-Distance Between Point B And G. 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 & 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.

How to calculate Metacentric Height?

Metacentric Height is defined as the vertical distance between the center of gravity of the body and the metacenter of that body is calculated using Metacentric Height = Distance Between Point B And M-Distance Between Point B And G. To calculate Metacentric Height, you need Distance Between Point B And M (B_m) & Distance Between Point B And G (B_g). With our tool, you need to enter the respective value for Distance Between Point B And M & Distance Between Point B And G and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Metacentric Height?

In this formula, Metacentric Height uses Distance Between Point B And M & Distance Between Point B And G. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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