Moment of Inertia of Waterline Area using Metacentric Height Calculator

✖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 By Body [V_d]			+10% -10%

✖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 using Metacentric Height [I_w]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hydrostatic Fluid Formulas PDF PDF Image

Moment of Inertia of Waterline Area using Metacentric Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Metacentric Height: 330 Millimeter --> 0.33 Meter (Check conversion here)
Distance Between Point B And G: 1455 Millimeter --> 1.455 Meter (Check conversion here)
Volume of Liquid Displaced By Body: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_w = (G_m+B_g)*V_d --> (0.33+1.455)*56

Evaluating ... ...

I_w = 99.96

STEP 3: Convert Result to Output's Unit

99.96 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

99.96 Kilogram Square Meter <-- Moment of Inertia of Waterline Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hydrostatic Fluid » Moment of Inertia of Waterline Area using Metacentric Height

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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))

Moment of Inertia of Waterline Area using Metacentric Height Formula

LaTeX Go

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

Define Moment of Inertia?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).

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

Moment of Inertia of Waterline Area using Metacentric Height calculator uses Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B And G)*Volume of Liquid Displaced By Body to calculate 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 calculate Moment of Inertia of Waterline Area using Metacentric Height using this online calculator? To use this online calculator 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. Here is how the Moment of Inertia of Waterline Area using Metacentric Height calculation can be explained with given input values -> 99.96 = (0.33+1.455)*56.

FAQ

What is Moment of Inertia of Waterline Area using Metacentric Height?

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 and is represented as I_w = (G_m+B_g)*V_d or Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B And G)*Volume of Liquid Displaced By Body. 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 & Volume of Liquid Displaced By Body is the total volume of the liquid which is displaced the immersed/floating body.

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

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 is calculated using Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B And G)*Volume of Liquid Displaced By Body. To calculate Moment of Inertia of Waterline Area using Metacentric Height, you need Metacentric Height (G_m), Distance Between Point B And G (B_g) & Volume of Liquid Displaced By Body (V_d). With our tool, you need to enter the respective value for Metacentric Height, Distance Between Point B And G & Volume of Liquid Displaced By Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search