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_w]			+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 [G_m]			+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 [B_g]

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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
B_g = I_w/V_d-G_m
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

B_g = I_w/V_d-G_m --> 100/56-0.33

Evaluating ... ...

B_g = 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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< Hydrostatic Fluid Calculators

Force Acting in x Direction in Momentum Equation

LaTeX 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

LaTeX 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))

Fluid Dynamic or Shear Viscosity Formula

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

Center of Gravity

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

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

LaTeX Go

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

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 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 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_w), Volume of Liquid Displaced By Body (V_d) & Metacentric Height (G_m) 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 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 and is represented as B_g = I_w/V_d-G_m 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 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 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_w), Volume of Liquid Displaced By Body (V_d) & Metacentric Height (G_m). 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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