Volume of Liquid Displaced given Metacentric 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%
✖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 Point B And G [B_g]			+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 given Metacentric Height [V_d]

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Volume of Liquid Displaced given Metacentric Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G)
V_d = I_w/(G_m+B_g)
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

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
Metacentric Height: 330 Millimeter --> 0.33 Meter (Check conversion here)
Distance Between Point B And G: 1455 Millimeter --> 1.455 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_d = I_w/(G_m+B_g) --> 100/(0.33+1.455)

Evaluating ... ...

V_d = 56.0224089635854

STEP 3: Convert Result to Output's Unit

56.0224089635854 Cubic Meter --> No Conversion Required

FINAL ANSWER

56.0224089635854 ≈ 56.02241 Cubic Meter <-- Volume of Liquid Displaced By Body

(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))

Volume of Liquid Displaced given Metacentric Height Formula

LaTeX Go

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

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 Volume of Liquid Displaced given Metacentric Height?

Volume of Liquid Displaced given Metacentric Height calculator uses Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G) to calculate 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 calculate Volume of Liquid Displaced given Metacentric Height using this online calculator? To use this online calculator 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. Here is how the Volume of Liquid Displaced given Metacentric Height calculation can be explained with given input values -> 56.02241 = 100/(0.33+1.455).

FAQ

What is Volume of Liquid Displaced given Metacentric Height?

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 and is represented as V_d = I_w/(G_m+B_g) or Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G). Moment of Inertia of Waterline Area at a free surface of floating-level about an axis passing through the center of area, Metacentric Height is defined as the vertical distance between the center of gravity of a body and metacenter of that body & 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.

How to calculate Volume of Liquid Displaced given Metacentric Height?

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 is calculated using Volume of Liquid Displaced By Body = Moment of Inertia of Waterline Area/(Metacentric Height+Distance Between Point B And G). To calculate Volume of Liquid Displaced given Metacentric Height, you need Moment of Inertia of Waterline Area (I_w), Metacentric Height (G_m) & Distance Between Point B And G (B_g). With our tool, you need to enter the respective value for Moment of Inertia of Waterline Area, Metacentric Height & Distance Between Point B And G 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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