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Volume of body in fluid for metacentric height and BG Formula

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Volume of Body Submerged in Water is the volume of the object that is immersed in the water. Check FAQs

V T = \frac{I}{GM + BG}

V_T - Volume of Body Submerged in Water?I - Moment of Inertia of Plain Floating Body?GM - Metacentric Height of Floating Body?BG - Distance of CG from Center of Buoyancy?

Volume of body in fluid for metacentric height and BG Example

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Here is how the Volume of body in fluid for metacentric height and BG equation looks like with Values.

Here is how the Volume of body in fluid for metacentric height and BG equation looks like with Units.

Here is how the Volume of body in fluid for metacentric height and BG equation looks like.

12.5 = \frac{11.25}{0.7 + 0.2}

12.5m³ = \frac{11.25m⁴}{0.7m + 0.2m}

12.5 = \frac{11.25}{0.7 + 0.2}

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Volume of body in fluid for metacentric height and BG Solution

Follow our step by step solution on how to calculate Volume of body in fluid for metacentric height and BG?

FIRST Step Consider the formula

V T = \frac{I}{GM + BG}

Next Step Substitute values of Variables

∴

V T = \frac{11.25m⁴}{0.7m + 0.2m}

Next Step Prepare to Evaluate

∴

V T = \frac{11.25}{0.7 + 0.2}

LAST Step Evaluate

∴

V T = 12.5m³

Volume of body in fluid for metacentric height and BG Formula Elements

Variables

Volume of Body Submerged in Water

Volume of Body Submerged in Water is the volume of the object that is immersed in the water.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Body Submerged in Water

Moment of Inertia of Plain Floating Body

Moment of Inertia of Plain Floating Body is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Plain Floating Body

Metacentric Height of Floating Body

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

Symbol: GM

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Metacentric Height of Floating Body

Distance of CG from Center of Buoyancy

The Distance of CG from Center of Buoyancy is the distance between the center of gravity and center of buoyancy of a floating body.

Symbol: BG

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance of CG from Center of Buoyancy

Other formulas in Buoyancy category

Go Archimedes Principle

A bouy = ρ \cdot g \cdot v

Go Buoyant Force

F buoy = p \cdot A

Go Volume of fluid displaced

V = \frac{W}{ρ df}

Go Centre of Buoyancy

B c = \frac{d}{2}

How to Evaluate Volume of body in fluid for metacentric height and BG?

Volume of body in fluid for metacentric height and BG evaluator uses Volume of Body Submerged in Water = Moment of Inertia of Plain Floating Body/(Metacentric Height of Floating Body+Distance of CG from Center of Buoyancy) to evaluate the Volume of Body Submerged in Water, The Volume of body in fluid for metacentric height and BG is defined as the moment of inertia of the plan of the body to the metacentric height and distance between the positions (BG). Volume of Body Submerged in Water is denoted by V_T symbol.

How to evaluate Volume of body in fluid for metacentric height and BG using this online evaluator? To use this online evaluator for Volume of body in fluid for metacentric height and BG, enter Moment of Inertia of Plain Floating Body (I), Metacentric Height of Floating Body (GM) & Distance of CG from Center of Buoyancy (BG) and hit the calculate button.

FAQs on Volume of body in fluid for metacentric height and BG

What is the formula to find Volume of body in fluid for metacentric height and BG?

The formula of Volume of body in fluid for metacentric height and BG is expressed as Volume of Body Submerged in Water = Moment of Inertia of Plain Floating Body/(Metacentric Height of Floating Body+Distance of CG from Center of Buoyancy). Here is an example- 12.5 = 11.25/(0.7+0.2).

How to calculate Volume of body in fluid for metacentric height and BG?

With Moment of Inertia of Plain Floating Body (I), Metacentric Height of Floating Body (GM) & Distance of CG from Center of Buoyancy (BG) we can find Volume of body in fluid for metacentric height and BG using the formula - Volume of Body Submerged in Water = Moment of Inertia of Plain Floating Body/(Metacentric Height of Floating Body+Distance of CG from Center of Buoyancy).

Can the Volume of body in fluid for metacentric height and BG be negative?

No, the Volume of body in fluid for metacentric height and BG, measured in Volume cannot be negative.

Which unit is used to measure Volume of body in fluid for metacentric height and BG?

Volume of body in fluid for metacentric height and BG is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of body in fluid for metacentric height and BG can be measured.

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