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
Iw = (Gm+Bg)*Vd
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
Iw = (Gm+Bg)*Vd --> (0.33+1.455)*56
Evaluating ... ...
Iw = 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 00.020 seconds)

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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
Iw = (Gm+Bg)*Vd

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 Iw 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 (Gm), Distance Between Point B And G (Bg) & Volume of Liquid Displaced By Body (Vd) 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 Iw = (Gm+Bg)*Vd 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 (Gm), Distance Between Point B And G (Bg) & Volume of Liquid Displaced By Body (Vd). 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.
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