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

✖Moment of inertia of waterline area at a free surface of floating-level about an axis passing through the center of area.ⓘ Moment of Inertia of Waterline Area [I_wl]			+10% -10%
✖Volume of Liquid displaced by Body is the total volume of the liquid which is displaced the immersed/floating body.ⓘ Volume of Liquid Displaced by Body [V_D]			+10% -10%
✖Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.ⓘ Metacentric Height [GM]			+10% -10%

✖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.ⓘ Distance between Buoyancy Point and Center of Gravity given Metacenter Height [BG]

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Distance between Buoyancy Point and Center of Gravity given Metacenter Height

Formula

`"BG" = "I"_{"wl"}/"V"_{"D"}-"GM"`

Example

`"1455.714mm"="100kg·m²"/"56m³"-"330mm"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height
BG = I_wl/V_D-GM
This formula uses 4 Variables

Variables Used

Distance Between Point B and G - (Measured in Meter) - 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.
Moment of Inertia of Waterline Area - (Measured in Kilogram Square Meter) - Moment of inertia of waterline area at a free surface of floating-level about an axis passing through the center of area.
Volume of Liquid Displaced by Body - (Measured in Cubic Meter) - Volume of Liquid displaced by Body is the total volume of the liquid which is displaced the immersed/floating body.
Metacentric Height - (Measured in Meter) - Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia of Waterline Area: 100 Kilogram Square Meter --> 100 Kilogram Square Meter No Conversion Required
Volume of Liquid Displaced by Body: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required
Metacentric Height: 330 Millimeter --> 0.33 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BG = I_wl/V_D-GM --> 100/56-0.33

Evaluating ... ...

BG = 1.45571428571429

STEP 3: Convert Result to Output's Unit

1.45571428571429 Meter -->1455.71428571429 Millimeter (Check conversion here)

FINAL ANSWER

1455.71428571429 ≈ 1455.714 Millimeter <-- Distance Between Point B and G

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hydrostatic Fluid » Distance between Buoyancy Point and Center of Gravity given Metacenter Height

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< 20 Hydrostatic Fluid Calculators

Force Acting in x Direction in Momentum Equation

Go Force in X-Direction = Density of Liquid*Discharge*(Velocity at Section 1-1-Velocity at Section 2-2*cos(Theta))+Pressure at Section 1*Cross-Sectional Area at Point 1-(Pressure at Section 2*Cross-Sectional Area at Point 2*cos(Theta))

Force Acting in y-Direction in Momentum Equation

Go Force in Y-Direction = Density of Liquid*Discharge*(-Velocity at Section 2-2*sin(Theta)-Pressure at Section 2*Cross-Sectional Area at Point 2*sin(Theta))

Experimental Determination of Metacentric height

Go Metacentric Height = (Movable Weight on Ship*Transverse Displacement)/((Movable Weight on Ship+Ship Weight)*tan(Angle of Tilt))

Radius of Gyration given Time Period of Rolling

Go Radius of Gyration = sqrt(Acceleration Due to Gravity*Metacentric Height*(Time Period of Rolling/2*pi)^2)

Fluid Dynamic or Shear Viscosity Formula

Go Dynamic Viscosity = (Applied Force*Distance between Two Masses)/(Area of Solid Plates*Peripheral Speed)

Moment of Inertia of Waterline Area using Metacentric Height

Go Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B and G)*Volume of Liquid Displaced by Body

Volume of Liquid Displaced given Metacentric Height

Go Volume of Liquid Displaced by Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B and G)

Distance between Buoyancy Point and Center of Gravity given Metacenter Height

Go Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height

Metacentric Height given Moment of Inertia

Go Metacentric Height = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Distance Between Point B and G

Center of Gravity

Go Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter))

Center of Buoyancy

Go Centre of Buoyancy = Moment of Inertia/(Volume of Object*Centre of Gravity)-Metacenter

Metacenter

Go Metacenter = Moment of Inertia/(Volume of Object*Centre of Gravity)-Centre of Buoyancy

Theoretical Velocity for Pitot Tube

Go Theoretical Velocity = sqrt(2*Acceleration Due to Gravity*Dynamic Pressure Head)

Metacentric Height

Go Metacentric Height = Distance between Point B and M-Distance Between Point B and G

Volume of Submerged Object given Buoyancy Force

Go Volume of Object = Buoyancy Force/Specific Weight of Liquid

Buoyancy Force

Go Buoyancy Force = Specific Weight of Liquid*Volume of Object

Surface Tension given Surface Energy and Area

Go Surface Tension = (Surface Energy)/(Surface Area)

Pressure in Bubble

Go Pressure = (8*Surface Tension)/Diameter of Bubble

Surface Energy given Surface Tension

Go Surface Energy = Surface Tension*Surface Area

Surface Area given Surface Tension

Go Surface Area = Surface Energy/Surface Tension

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

Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height
BG = I_wl/V_D-GM

What is metacentric height?

The vertical distance between G and M is referred to as the metacentric height. The relative positions of vertical centre of gravity G and the initial metacentre M are extremely important with regard to their effect on the ship's stability.

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

Distance between Buoyancy Point and Center of Gravity given Metacenter Height calculator uses Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height to calculate the Distance Between Point B and G, Distance between Buoyancy Point and Center of Gravity given Metacenter Height formula is defined as the length in between the center point of Buoyancy and center of gravity. Distance Between Point B and G is denoted by BG symbol.

How to calculate Distance between Buoyancy Point and Center of Gravity given Metacenter Height using this online calculator? To use this online calculator for Distance between Buoyancy Point and Center of Gravity given Metacenter Height, enter Moment of Inertia of Waterline Area (I_wl), Volume of Liquid Displaced by Body (V_D) & Metacentric Height (GM) and hit the calculate button. Here is how the Distance between Buoyancy Point and Center of Gravity given Metacenter Height calculation can be explained with given input values -> 1.5E+6 = 100/56-0.33.

FAQ

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

Distance between Buoyancy Point and Center of Gravity given Metacenter Height formula is defined as the length in between the center point of Buoyancy and center of gravity and is represented as BG = I_wl/V_D-GM or Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height. Moment of inertia of waterline area at a free surface of floating-level about an axis passing through the center of area, Volume of Liquid displaced by Body is the total volume of the liquid which is displaced the immersed/floating body & Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.

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

Distance between Buoyancy Point and Center of Gravity given Metacenter Height formula is defined as the length in between the center point of Buoyancy and center of gravity is calculated using Distance Between Point B and G = Moment of Inertia of Waterline Area/Volume of Liquid Displaced by Body-Metacentric Height. To calculate Distance between Buoyancy Point and Center of Gravity given Metacenter Height, you need Moment of Inertia of Waterline Area (I_wl), Volume of Liquid Displaced by Body (V_D) & Metacentric Height (GM). With our tool, you need to enter the respective value for Moment of Inertia of Waterline Area, Volume of Liquid Displaced by Body & Metacentric Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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