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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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 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 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))

Center of Buoyancy Formula

LaTeX Go

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 formula is defined as the point where the weight of the body can be considered to act, resulting in a stable equilibrium when the body is partially or fully submerged in a fluid, providing a measure of the body's tendency to float or sink. 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 formula is defined as the point where the weight of the body can be considered to act, resulting in a stable equilibrium when the body is partially or fully submerged in a fluid, providing a measure of the body's tendency to float or sink 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 formula is defined as the point where the weight of the body can be considered to act, resulting in a stable equilibrium when the body is partially or fully submerged in a fluid, providing a measure of the body's tendency to float or sink 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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