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Volume of Liquid Displaced given Metacentric Height Formula

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Volume of Liquid Displaced By Body is the total volume of the liquid which is displaced the immersed/floating body. Check FAQs

V d = \frac{I w}{G m + B g}

V_d - Volume of Liquid Displaced By Body?I_w - Moment of Inertia of Waterline Area?G_m - Metacentric Height?B_g - Distance Between Point B And G?

Volume of Liquid Displaced given Metacentric Height Example

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Here is how the Volume of Liquid Displaced given Metacentric Height equation looks like with Values.

Here is how the Volume of Liquid Displaced given Metacentric Height equation looks like with Units.

Here is how the Volume of Liquid Displaced given Metacentric Height equation looks like.

56.0224 = \frac{100}{330 + 1455}

56.0224m³ = \frac{100kg·m²}{330mm + 1455mm}

56.0224 = \frac{100}{330 + 1455}

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Volume of Liquid Displaced given Metacentric Height Solution

Follow our step by step solution on how to calculate Volume of Liquid Displaced given Metacentric Height?

FIRST Step Consider the formula

V d = \frac{I w}{G m + B g}

Next Step Substitute values of Variables

∴

V d = \frac{100kg·m²}{330mm + 1455mm}

Next Step Convert Units

∴

V d = \frac{100kg·m²}{0.33m + 1.455m}

Next Step Prepare to Evaluate

∴

V d = \frac{100}{0.33 + 1.455}

Next Step Evaluate

∴

V d = 56.0224089635854m³

LAST Step Rounding Answer

∴

V d = 56.0224m³

Volume of Liquid Displaced given Metacentric Height Formula Elements

Variables

Volume of Liquid Displaced By Body

Volume of Liquid Displaced By Body is the total volume of the liquid which is displaced the immersed/floating body.

Symbol: V_d

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Liquid Displaced By Body

Moment of Inertia of Waterline Area

Moment of Inertia of Waterline Area at a free surface of floating-level about an axis passing through the center of area.

Symbol: I_w

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Waterline Area

Metacentric Height

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

Symbol: G_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Metacentric Height

Distance Between Point B And G

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.

Symbol: B_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Point B And G

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 Volume of Liquid Displaced given Metacentric Height?

Volume of Liquid Displaced given Metacentric Height evaluator uses Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G) to evaluate the Volume of Liquid Displaced By Body, Volume of Liquid Displaced given Metacentric Height formula is defined as a measure of the volume of liquid displaced by an object partially or fully submerged in a fluid, which is essential in understanding the stability and buoyancy of the object in hydrostatic fluid. Volume of Liquid Displaced By Body is denoted by V_d symbol.

How to evaluate Volume of Liquid Displaced given Metacentric Height using this online evaluator? To use this online evaluator for Volume of Liquid Displaced given Metacentric Height, enter Moment of Inertia of Waterline Area (I_w), Metacentric Height (G_m) & Distance Between Point B And G (B_g) and hit the calculate button.

FAQs on Volume of Liquid Displaced given Metacentric Height

What is the formula to find Volume of Liquid Displaced given Metacentric Height?

The formula of Volume of Liquid Displaced given Metacentric Height is expressed as Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G). Here is an example- 56.02241 = 100/(0.33+1.455).

How to calculate Volume of Liquid Displaced given Metacentric Height?

With Moment of Inertia of Waterline Area (I_w), Metacentric Height (G_m) & Distance Between Point B And G (B_g) we can find Volume of Liquid Displaced given Metacentric Height using the formula - Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G).

Can the Volume of Liquid Displaced given Metacentric Height be negative?

Yes, the Volume of Liquid Displaced given Metacentric Height, measured in Volume can be negative.

Which unit is used to measure Volume of Liquid Displaced given Metacentric Height?

Volume of Liquid Displaced given Metacentric Height 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 Liquid Displaced given Metacentric Height can be measured.

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Volume of Liquid Displaced given Metacentric Height Formula

Volume of Liquid Displaced given Metacentric Height Example

Volume of Liquid Displaced given Metacentric Height Solution

Volume of Liquid Displaced given Metacentric Height Formula Elements

Other formulas in Hydrostatic Fluid category

How to Evaluate Volume of Liquid Displaced given Metacentric Height?

FAQs on Volume of Liquid Displaced given Metacentric Height

Variable Name