Volume of body in fluid for metacentric height and BG Calculator

Category	Physics ↺
Physics	Fluid Mechanics ↺
Fluid-Mechanics	Buoyancy ↺

✖The Area Moment Of Inertia valueⓘ Area Moment Of Inertia [I]			+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 [GM]			+10% -10%
✖The length BG is considered in buoyancy and floatation.ⓘ length BG [BG]			+10% -10%

✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of body in fluid for metacentric height and BG [V]

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Volume of body in fluid for metacentric height and BG

Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 200+ more calculators!

Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Distance Between Buoyancy Point and Center of Gravity When Metacenter Height is Given

Distance between point B and G=(Moment of inertia of the waterline area/Volume of liquid displaced by the body)-Metacentric height GO

Moment of Inertia of Waterline Area When Metacentric Height is Given

Moment of inertia of the waterline area=(Metacentric height+Distance between point B and G)*Volume of liquid displaced by the body GO

Volume of the Liquid Displaced When Metacentric Height is Given

Volume of liquid displaced by the body=Moment of inertia of the waterline area/(Metacentric height+Distance between point B and G) GO

Time period of Rolling

Time period of rolling=2*pi*(sqrt(((Radius of gyration)^(2))/(Acceleration Due To Gravity*Metacentric height))) GO

Radius of Gyration When Time Period of Rolling is Given

Radius of gyration=sqrt((Acceleration Due To Gravity*Metacentric height)*((Time period of rolling/2*pi)^2)) GO

Time period of oscillation in the ship

Time Period Of Progressive Wave=(2*pi)*(sqrt((Radius of gyration^2)/(Metacentric height*9.81))) GO

Bending moment from bending stress

Bending moment=(Bending Stress*Area Moment Of Inertia)/Distance from neutral axis GO

Stress due to bending moment

Bending Stress=(Bending moment*Distance from neutral axis)/Area Moment Of Inertia GO

Angle of heel for metacentric height in experimental method

Angle of heel=atan((Weight*Distance Traveled)/(Weight*Metacentric height)) GO

Movable weight for metacentric height in experimental method

Weight=(Metacentric height*Weight*tan(Angle of heel))/(Distance Traveled) GO

Radius of gyration if moment of inertia and area is known

Radius of gyration=sqrt(Area Moment Of Inertia/Area of cross section) GO

< 11 Other formulas that calculate the same Output

Volume of a Conical Frustum

Volume=(1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) GO

Volume of a Capsule

Volume=pi*(Radius)^2*((4/3)*Radius+Side) GO

Volume of Regular Dodecahedron

Volume=((15+(7*sqrt(5)))*Side^3)/4 GO

Volume of a Circular Cone

Volume=(1/3)*pi*(Radius)^2*Height GO

Volume of Regular Icosahedron

Volume=(5*(3+sqrt(5))*Side^3)/12 GO

Volume of a Circular Cylinder

Volume=pi*(Radius)^2*Height GO

Volume of a Rectangular Prism

Volume=Width*Height*Length GO

Volume of a Hemisphere

Volume=(2/3)*pi*(Radius)^3 GO

Volume of a Pyramid

Volume=(1/3)*Side^2*Height GO

Volume of a Sphere

Volume=(4/3)*pi*(Radius)^3 GO

Volume of a Cube

Volume=Side^3 GO

Volume of body in fluid for metacentric height and BG Formula

Volume=Area Moment Of Inertia/(Metacentric height+length BG)
V=I/(GM+BG)

More formulas

Volume of fluid displaced GO

Centre of Buoyancy GO

Meta-centric height in the experimental method GO

Time period of oscillation in the ship GO

Movable weight for metacentric height in experimental method GO

Angle of heel for metacentric height in experimental method GO

Meta-centric height for time period of oscillation and radius of gyration GO

Radius of gyration for metacentric height and time period of oscillation GO

What is meta-centre and BG?

It is defined as the point about which a body starts oscillating when the body is tilted by a small angle. The location of centre of gravity and centre of buoyancy is the positions G and B.

What is meta-centric height?

The distance between the meta-centre of a floating body and the center of gravity of the body is called meta-centric height. It is calculated using analytical and theoretical methods.

How to Calculate Volume of body in fluid for metacentric height and BG?

Volume of body in fluid for metacentric height and BG calculator uses Volume=Area Moment Of Inertia/(Metacentric height+length BG) to calculate the Volume, The Volume of body in fluid for metacentric height and BG is defined as the moment of inertia of the plan of the body to the metacentric height and distance between the positions (BG). Volume and is denoted by V symbol.

How to calculate Volume of body in fluid for metacentric height and BG using this online calculator? To use this online calculator for Volume of body in fluid for metacentric height and BG, enter Area Moment Of Inertia (I), Metacentric height (GM) and length BG (BG) and hit the calculate button. Here is how the Volume of body in fluid for metacentric height and BG calculation can be explained with given input values -> 0.09901 = 1/(0.1+10).

FAQ

What is Volume of body in fluid for metacentric height and BG?

The Volume of body in fluid for metacentric height and BG is defined as the moment of inertia of the plan of the body to the metacentric height and distance between the positions (BG) and is represented as V=I/(GM+BG) or Volume=Area Moment Of Inertia/(Metacentric height+length BG). The Area Moment Of Inertia value, Metacentric height is defined as the vertical distance between the center of gravity of a body and metacenter of that body and The length BG is considered in buoyancy and floatation.

How to calculate Volume of body in fluid for metacentric height and BG?

The Volume of body in fluid for metacentric height and BG is defined as the moment of inertia of the plan of the body to the metacentric height and distance between the positions (BG) is calculated using Volume=Area Moment Of Inertia/(Metacentric height+length BG). To calculate Volume of body in fluid for metacentric height and BG, you need Area Moment Of Inertia (I), Metacentric height (GM) and length BG (BG). With our tool, you need to enter the respective value for Area Moment Of Inertia, Metacentric height and length BG and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume?

In this formula, Volume uses Area Moment Of Inertia, Metacentric height and length BG. We can use 11 other way(s) to calculate the same, which is/are as follows -

Volume=pi*(Radius)^2*((4/3)*Radius+Side)
Volume=(1/3)*pi*(Radius)^2*Height
Volume=pi*(Radius)^2*Height
Volume=Side^3
Volume=(2/3)*pi*(Radius)^3
Volume=(4/3)*pi*(Radius)^3
Volume=(1/3)*Side^2*Height
Volume=(1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
Volume=Width*Height*Length
Volume=((15+(7*sqrt(5)))*Side^3)/4
Volume=(5*(3+sqrt(5))*Side^3)/12

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