Center of Buoyancy Calculator

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Volume of Object is the volume occupied by a submerged or floating object in a fluid.ⓘ Volume of Object [V_o]			+10% -10%
✖Metacenter is the theoretical point where a vertical line through the center of buoyancy and center of gravity intersects the new center of buoyancy when a body is tilted in water.ⓘ Metacenter [M]			+10% -10%

✖Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.ⓘ Center of Buoyancy [B]

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Formula

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Center of Buoyancy

Formula

`"B" = ("I"/"V"_{"o"})-"M"`

Example

`"-16.971227"=("1.125kg·m²"/"54m³")-"16.99206"`

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Center of Buoyancy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter
B = (I/V_o)-M
This formula uses 4 Variables

Variables Used

Centre of Buoyancy - Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Volume of Object - (Measured in Cubic Meter) - Volume of Object is the volume occupied by a submerged or floating object in a fluid.
Metacenter - Metacenter is the theoretical point where a vertical line through the center of buoyancy and center of gravity intersects the new center of buoyancy when a body is tilted in water.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Volume of Object: 54 Cubic Meter --> 54 Cubic Meter No Conversion Required
Metacenter: 16.99206 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (I/V_o)-M --> (1.125/54)-16.99206

Evaluating ... ...

B = -16.9712266666667

STEP 3: Convert Result to Output's Unit

-16.9712266666667 --> No Conversion Required

FINAL ANSWER

-16.9712266666667 ≈ -16.971227 <-- Centre of Buoyancy

(Calculation completed in 00.020 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 20 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([g]*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))

Metacenter

Go Metacenter = Moment of Inertia/(Volume of Object*Centre of Gravity)-Centre of Buoyancy

Center of Buoyancy

Go Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter

Theoretical Velocity for Pitot Tube

Go Theoretical Velocity = sqrt(2*[g]*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)

Pressure in Bubble

Go Pressure = (8*Surface Tension)/Diameter of Bubble

Surface Energy given Surface Tension

Go Surface Energy = Surface Tension*Surface Area

Surface Area given Surface Tension

Go Surface Area = Surface Energy/Surface Tension

Center of Buoyancy Formula

Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter
B = (I/V_o)-M

What is Center of Buoyancy?

The center of buoyancy of a floating body is the point about which all the body parts exactly buoy each other—in other words, the effective center of the displaced water. The metacenter remains directly above the center of buoyancy regardless of the tilt of a floating body, such as a ship.

How to Calculate Center of Buoyancy?

Center of Buoyancy calculator uses Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter to calculate the Centre of Buoyancy, Center of Buoyancy is the point where if you were to take all of the displaced fluid and hold it by that point it would remain perfectly balanced, assuming you could hold a fluid in a fixed shape. Centre of Buoyancy is denoted by B symbol.

How to calculate Center of Buoyancy using this online calculator? To use this online calculator for Center of Buoyancy, enter Moment of Inertia (I), Volume of Object (V_o) & Metacenter (M) and hit the calculate button. Here is how the Center of Buoyancy calculation can be explained with given input values -> -16.979167 = (1.125/54)-16.99206.

FAQ

What is Center of Buoyancy?

Center of Buoyancy is the point where if you were to take all of the displaced fluid and hold it by that point it would remain perfectly balanced, assuming you could hold a fluid in a fixed shape and is represented as B = (I/V_o)-M or Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, Volume of Object is the volume occupied by a submerged or floating object in a fluid & Metacenter is the theoretical point where a vertical line through the center of buoyancy and center of gravity intersects the new center of buoyancy when a body is tilted in water.

How to calculate Center of Buoyancy?

Center of Buoyancy is the point where if you were to take all of the displaced fluid and hold it by that point it would remain perfectly balanced, assuming you could hold a fluid in a fixed shape is calculated using Centre of Buoyancy = (Moment of Inertia/Volume of Object)-Metacenter. To calculate Center of Buoyancy, you need Moment of Inertia (I), Volume of Object (V_o) & Metacenter (M). With our tool, you need to enter the respective value for Moment of Inertia, Volume of Object & Metacenter 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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