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
Iwl = (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: 33000 Millimeter --> 33 Meter (Check conversion here)
Distance Between Point B and G: 1500 Millimeter --> 1.5 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
Iwl = (GM+BG)*VD --> (33+1.5)*56
Evaluating ... ...
Iwl = 1932
STEP 3: Convert Result to Output's Unit
1932 Kilogram Square Meter --> No Conversion Required
FINAL ANSWER
1932 Kilogram Square Meter <-- Moment of Inertia of Waterline Area
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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19 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)
Surface Energy given Surface Tension
Go Surface Energy = Surface Tension*Surface Area
Surface Area given Surface Tension
Go Surface Area = Surface Energy/Surface Tension

Moment of Inertia of Waterline Area using Metacentric Height Formula

Moment of Inertia of Waterline Area = (Metacentric Height+Distance Between Point B and G)*Volume of Liquid Displaced by Body
Iwl = (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, The Moment of Inertia of Waterline Area using Metacentric Height formula is defined as a quantitative measure of the rotational inertia of a body. Moment of Inertia of Waterline Area is denoted by Iwl 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 -> 92.4 = (33+1.5)*56.

FAQ

What is Moment of Inertia of Waterline Area using Metacentric Height?
The Moment of Inertia of Waterline Area using Metacentric Height formula is defined as a quantitative measure of the rotational inertia of a body and is represented as Iwl = (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?
The Moment of Inertia of Waterline Area using Metacentric Height formula is defined as a quantitative measure of the rotational inertia of a body 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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