Unstable Equilibrium of Floating Body Calculator

✖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 [BG]			+10% -10%
✖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 [BM]			+10% -10%

✖Metacentric height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.ⓘ Unstable Equilibrium of Floating Body [GM]

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Formula

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Unstable Equilibrium of Floating Body

Formula

GM = BG - BM

Example

-27 mm = 25 mm - 52 mm

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Unstable Equilibrium of Floating Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Metacentric Height = Distance between Point B and G-Distance between Point B and M
GM = BG-BM
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Distance between Point B and G: 25 Millimeter --> 0.025 Meter (Check conversion here)
Distance between Point B and M: 52 Millimeter --> 0.052 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GM = BG-BM --> 0.025-0.052

Evaluating ... ...

GM = -0.027

STEP 3: Convert Result to Output's Unit

-0.027 Meter -->-27 Millimeter (Check conversion here)

FINAL ANSWER

-27 Millimeter <-- Metacentric Height

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)

Equation of Continuity for Incompressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

Cavitation Number

Go Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Unstable Equilibrium of Floating Body Formula

Metacentric Height = Distance between Point B and G-Distance between Point B and M
GM = BG-BM

What is unstable equilibrium?

Stable equilibrium exists when the object is in its lowest energy condition; metastable equilibrium exists when additional energy (ΔG) must be introduced before the object can reach true stability; unstable equilibrium exists when no additional energy is needed before reaching metastability or stability.

How to Calculate Unstable Equilibrium of Floating Body?

Unstable Equilibrium of Floating Body calculator uses Metacentric Height = Distance between Point B and G-Distance between Point B and M to calculate the Metacentric Height, Unstable Equilibrium of floating body is when the metacenter is below the center of gravity, then the floating body is said to be in an unstable condition.Where B=Center of buoyancy, G=Center of gravity, M=Metacenter. Metacentric Height is denoted by GM symbol.

How to calculate Unstable Equilibrium of Floating Body using this online calculator? To use this online calculator for Unstable Equilibrium of Floating Body, enter Distance between Point B and G (BG) & Distance between Point B and M (BM) and hit the calculate button. Here is how the Unstable Equilibrium of Floating Body calculation can be explained with given input values -> -27000 = 0.025-0.052.

FAQ

What is Unstable Equilibrium of Floating Body?

Unstable Equilibrium of floating body is when the metacenter is below the center of gravity, then the floating body is said to be in an unstable condition.Where B=Center of buoyancy, G=Center of gravity, M=Metacenter and is represented as GM = BG-BM or Metacentric Height = Distance between Point B and G-Distance between Point B and M. 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 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.

How to calculate Unstable Equilibrium of Floating Body?

Unstable Equilibrium of floating body is when the metacenter is below the center of gravity, then the floating body is said to be in an unstable condition.Where B=Center of buoyancy, G=Center of gravity, M=Metacenter is calculated using Metacentric Height = Distance between Point B and G-Distance between Point B and M. To calculate Unstable Equilibrium of Floating Body, you need Distance between Point B and G (BG) & Distance between Point B and M (BM). With our tool, you need to enter the respective value for Distance between Point B and G & Distance between Point B and M and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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