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Center of Buoyancy Formula

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Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces. Check FAQs

B = (\frac{I}{V o}) - M

B - Centre of Buoyancy?I - Moment of Inertia?V_o - Volume of Object?M - Metacenter?

Center of Buoyancy Example

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Here is how the Center of Buoyancy equation looks like with Values.

Here is how the Center of Buoyancy equation looks like with Units.

Here is how the Center of Buoyancy equation looks like.

-16.9712 = (\frac{1.125}{54}) - 16.9921

-16.9712 = (\frac{1.125kg·m²}{54m³}) - 16.9921

-16.9712 = (\frac{1.125}{54}) - 16.9921

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Center of Buoyancy Solution

Follow our step by step solution on how to calculate Center of Buoyancy?

FIRST Step Consider the formula

B = (\frac{I}{V o}) - M

Next Step Substitute values of Variables

∴

B = (\frac{1.125kg·m²}{54m³}) - 16.9921

Next Step Prepare to Evaluate

∴

B = (\frac{1.125}{54}) - 16.9921

Next Step Evaluate

∴

B = -16.9712266666667

LAST Step Rounding Answer

∴

B = -16.9712

Center of Buoyancy Formula Elements

Variables

Centre of Buoyancy

Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Centre of Buoyancy

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Volume of Object

Volume of Object is the volume occupied by a submerged or floating object in a fluid.

Symbol: V_o

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Object

Metacenter

Metacenter is the theoretical point where a vertical line through the center of buoyancy and center of gravity intersects the new center of buoyancy when a body is tilted in water.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Metacenter

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 Center of Buoyancy?

Center of Buoyancy evaluator uses Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter to evaluate the Centre of Buoyancy, Center of Buoyancy formula is defined as the point where the weight of the body can be considered to act, resulting in a stable equilibrium when the body is partially or fully submerged in a fluid, providing a measure of the body's tendency to float or sink. Centre of Buoyancy is denoted by B symbol.

How to evaluate Center of Buoyancy using this online evaluator? To use this online evaluator for Center of Buoyancy, enter Moment of Inertia (I), Volume of Object (V_o) & Metacenter (M) and hit the calculate button.

FAQs on Center of Buoyancy

What is the formula to find Center of Buoyancy?

The formula of Center of Buoyancy is expressed as Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter. Here is an example- -16.979167 = (1.125/54)-16.99206.

How to calculate Center of Buoyancy?

With Moment of Inertia (I), Volume of Object (V_o) & Metacenter (M) we can find Center of Buoyancy using the formula - Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter.

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Center of Buoyancy Formula

Center of Buoyancy Example

Center of Buoyancy Solution

Center of Buoyancy Formula Elements

Other formulas in Hydrostatic Fluid category

How to Evaluate Center of Buoyancy?

FAQs on Center of Buoyancy

Variable Name