Unstable Equilibrium of Floating Body Solution

STEP 0: Pre-Calculation Summary
Formula Used
Metacentric Height = Distance between COB and GOG-Distance between COB and COM
GM = BG-BM
This formula uses 3 Variables
Variables Used
Metacentric Height - (Measured in Meter) - The Metacentric Height is the distance between the center of gravity and the metacenter, indicating the stability of floating bodies in fluid mechanics.
Distance between COB and GOG - (Measured in Meter) - The Distance between COB and GOG is the measurement of space between the center of buoyancy and the center of gravity in fluid mechanics applications.
Distance between COB and COM - (Measured in Meter) - The Distance between COB and COM is the measurement between the center of buoyancy and the center of mass in fluid mechanics, influencing stability and equilibrium of floating bodies.
STEP 1: Convert Input(s) to Base Unit
Distance between COB and GOG: 25 Millimeter --> 0.025 Meter (Check conversion ​here)
Distance between COB and COM: 52.1 Millimeter --> 0.0521 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
GM = BG-BM --> 0.025-0.0521
Evaluating ... ...
GM = -0.0271
STEP 3: Convert Result to Output's Unit
-0.0271 Meter -->-27.1 Millimeter (Check conversion ​here)
FINAL ANSWER
-27.1 Millimeter <-- Metacentric Height
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Fluid Mechanics Basics Calculators

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Unstable Equilibrium of Floating Body Formula

​Go
Metacentric Height = Distance between COB and GOG-Distance between COB and COM
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 COB and GOG-Distance between COB and COM to calculate the Metacentric Height, Unstable Equilibrium of Floating Body formula is defined as a concept that describes the condition where a floating object is in a state of equilibrium but is prone to tipping or overturning when disturbed. This principle is crucial in understanding the stability of floating structures and vessels. 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 COB and GOG (BG) & Distance between COB and COM (BM) and hit the calculate button. Here is how the Unstable Equilibrium of Floating Body calculation can be explained with given input values -> -27100 = 0.025-0.0521.

FAQ

What is Unstable Equilibrium of Floating Body?
Unstable Equilibrium of Floating Body formula is defined as a concept that describes the condition where a floating object is in a state of equilibrium but is prone to tipping or overturning when disturbed. This principle is crucial in understanding the stability of floating structures and vessels and is represented as GM = BG-BM or Metacentric Height = Distance between COB and GOG-Distance between COB and COM. The Distance between COB and GOG is the measurement of space between the center of buoyancy and the center of gravity in fluid mechanics applications & The Distance between COB and COM is the measurement between the center of buoyancy and the center of mass in fluid mechanics, influencing stability and equilibrium of floating bodies.
How to calculate Unstable Equilibrium of Floating Body?
Unstable Equilibrium of Floating Body formula is defined as a concept that describes the condition where a floating object is in a state of equilibrium but is prone to tipping or overturning when disturbed. This principle is crucial in understanding the stability of floating structures and vessels is calculated using Metacentric Height = Distance between COB and GOG-Distance between COB and COM. To calculate Unstable Equilibrium of Floating Body, you need Distance between COB and GOG (BG) & Distance between COB and COM (BM). With our tool, you need to enter the respective value for Distance between COB and GOG & Distance between COB and COM 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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