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Moment of Inertia of Waterline Area using Metacentric Height Formula

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

I w = (G m + B g) \cdot V d

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

Moment of Inertia of Waterline Area using Metacentric Height Example

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Here is how the Moment of Inertia of Waterline Area using Metacentric Height equation looks like with Values.

Here is how the Moment of Inertia of Waterline Area using Metacentric Height equation looks like with Units.

Here is how the Moment of Inertia of Waterline Area using Metacentric Height equation looks like.

99.96 = (330 + 1455) \cdot 56

99.96kg·m² = (330mm + 1455mm) \cdot 56m³

99.96 = (330 + 1455) \cdot 56

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Moment of Inertia of Waterline Area using Metacentric Height Solution

Follow our step by step solution on how to calculate Moment of Inertia of Waterline Area using Metacentric Height?

FIRST Step Consider the formula

I w = (G m + B g) \cdot V d

Next Step Substitute values of Variables

∴

I w = (330mm + 1455mm) \cdot 56m³

Next Step Convert Units

∴

I w = (0.33m + 1.455m) \cdot 56m³

Next Step Prepare to Evaluate

∴

I w = (0.33 + 1.455) \cdot 56

LAST Step Evaluate

∴

I w = 99.96kg·m²

Moment of Inertia of Waterline Area using Metacentric Height Formula Elements

Variables

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

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

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 Moment of Inertia of Waterline Area using Metacentric Height?

Moment of Inertia of Waterline Area using Metacentric Height evaluator uses Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B And G)*Volume of Liquid Displaced By Body to evaluate the Moment of Inertia of Waterline Area, Moment of Inertia of Waterline Area using Metacentric Height formula is defined as a measure of the resistance of a ship's waterplane area to changes in its angular inclination, providing a critical stability indicator in hydrostatic fluid contexts. Moment of Inertia of Waterline Area is denoted by I_w symbol.

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

FAQs on Moment of Inertia of Waterline Area using Metacentric Height

What is the formula to find Moment of Inertia of Waterline Area using Metacentric Height?

The formula of Moment of Inertia of Waterline Area using Metacentric Height is expressed as Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B And G)*Volume of Liquid Displaced By Body. Here is an example- 99.96 = (0.33+1.455)*56.

How to calculate Moment of Inertia of Waterline Area using Metacentric Height?

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

Can the Moment of Inertia of Waterline Area using Metacentric Height be negative?

No, the Moment of Inertia of Waterline Area using Metacentric Height, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Waterline Area using Metacentric Height?

Moment of Inertia of Waterline Area using Metacentric Height is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia of Waterline Area using Metacentric Height can be measured.

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Moment of Inertia of Waterline Area using Metacentric Height Formula

Moment of Inertia of Waterline Area using Metacentric Height Example

Moment of Inertia of Waterline Area using Metacentric Height Solution

Moment of Inertia of Waterline Area using Metacentric Height Formula Elements

Other formulas in Hydrostatic Fluid category

How to Evaluate Moment of Inertia of Waterline Area using Metacentric Height?

FAQs on Moment of Inertia of Waterline Area using Metacentric Height

Variable Name