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Distance between Buoyancy Point and Center of Gravity given Metacenter Height Formula

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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. Check FAQs

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

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

Distance between Buoyancy Point and Center of Gravity given Metacenter Height Example

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Here is how the Distance between Buoyancy Point and Center of Gravity given Metacenter Height equation looks like with Values.

Here is how the Distance between Buoyancy Point and Center of Gravity given Metacenter Height equation looks like with Units.

Here is how the Distance between Buoyancy Point and Center of Gravity given Metacenter Height equation looks like.

1455.7143 = \frac{100}{56} - 330

1455.7143mm = \frac{100kg·m²}{56m³} - 330mm

1455.7143 = \frac{100}{56} - 330

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Distance between Buoyancy Point and Center of Gravity given Metacenter Height Solution

Follow our step by step solution on how to calculate Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B g = \frac{100kg·m²}{56m³} - 330mm

Next Step Convert Units

∴

B g = \frac{100kg·m²}{56m³} - 0.33m

Next Step Prepare to Evaluate

∴

B g = \frac{100}{56} - 0.33

Next Step Evaluate

∴

B g = 1.45571428571429m

Next Step Convert to Output's Unit

∴

B g = 1455.71428571429mm

LAST Step Rounding Answer

∴

B g = 1455.7143mm

Distance between Buoyancy Point and Center of Gravity given Metacenter Height Formula Elements

Variables

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

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

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

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

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 Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

Distance between Buoyancy Point and Center of Gravity given Metacenter Height evaluator uses Distance Between Point B And G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced By Body-Metacentric Height to evaluate the Distance Between Point B And G, Distance between Buoyancy Point and Center of Gravity given Metacenter Height formula is defined as a measure of the separation between the center of gravity and the buoyancy point in a floating object, which is critical in determining the stability of the object in hydrostatic fluids. Distance Between Point B And G is denoted by B_g symbol.

How to evaluate Distance between Buoyancy Point and Center of Gravity given Metacenter Height using this online evaluator? To use this online evaluator for Distance between Buoyancy Point and Center of Gravity given Metacenter Height, enter Moment of Inertia of Waterline Area (I_w), Volume of Liquid Displaced By Body (V_d) & Metacentric Height (G_m) and hit the calculate button.

FAQs on Distance between Buoyancy Point and Center of Gravity given Metacenter Height

What is the formula to find Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

The formula of Distance between Buoyancy Point and Center of Gravity given Metacenter Height is expressed as Distance Between Point B And G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced By Body-Metacentric Height. Here is an example- 1.5E+6 = 100/56-0.33.

How to calculate Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

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

Can the Distance between Buoyancy Point and Center of Gravity given Metacenter Height be negative?

No, the Distance between Buoyancy Point and Center of Gravity given Metacenter Height, measured in Length cannot be negative.

Which unit is used to measure Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

Distance between Buoyancy Point and Center of Gravity given Metacenter Height is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance between Buoyancy Point and Center of Gravity given Metacenter Height can be measured.

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Distance between Buoyancy Point and Center of Gravity given Metacenter Height Formula

Distance between Buoyancy Point and Center of Gravity given Metacenter Height Example

Distance between Buoyancy Point and Center of Gravity given Metacenter Height Solution

Distance between Buoyancy Point and Center of Gravity given Metacenter Height Formula Elements

Other formulas in Hydrostatic Fluid category

How to Evaluate Distance between Buoyancy Point and Center of Gravity given Metacenter Height?

FAQs on Distance between Buoyancy Point and Center of Gravity given Metacenter Height

Variable Name