Center of Gravity 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%
✖Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.ⓘ Centre of Buoyancy [B]			+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 gravity of the object is the point through which gravitational force is acting.ⓘ Center of Gravity [G]

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Formula

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Center of Gravity

Formula

G = \frac{I}{V o \cdot (B + M)}

Example

0.021 = \frac{1.125 kg·m²}{54 m³ \cdot (-16 + 16.99206)}

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Center of Gravity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter))
G = I/(V_o*(B+M))
This formula uses 5 Variables

Variables Used

Centre of Gravity - Centre of gravity of the object is the point through which gravitational force is acting.
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.
Centre of Buoyancy - Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.
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
Centre of Buoyancy: -16 --> No Conversion Required
Metacenter: 16.99206 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = I/(V_o*(B+M)) --> 1.125/(54*((-16)+16.99206))

Evaluating ... ...

G = 0.0210000739202602

STEP 3: Convert Result to Output's Unit

0.0210000739202602 --> No Conversion Required

FINAL ANSWER

0.0210000739202602 ≈ 0.021 <-- Centre of Gravity

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< 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))

Fluid Dynamic or Shear Viscosity Formula

Go Dynamic Viscosity = (Applied Force*Distance Between Two Masses)/(Area of Solid Plates*Peripheral Speed)

Center of Gravity

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

Center of Gravity Formula

Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter))
G = I/(V_o*(B+M))

What is Center of Gravity?

The center of gravity (CG) of an object is the point at which weight is evenly dispersed and all sides are in balance . A human's center of gravity can change as he takes on different positions, but in many other objects, it's a fixed location

How to Calculate Center of Gravity?

Center of Gravity calculator uses Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter)) to calculate the Centre of Gravity, The center of gravity (CG) in the domain of buoyancy refers to the point at which the gravitational force on an object can be considered to act. Centre of Gravity is denoted by G symbol.

How to calculate Center of Gravity using this online calculator? To use this online calculator for Center of Gravity, enter Moment of Inertia (I), Volume of Object (V_o), Centre of Buoyancy (B) & Metacenter (M) and hit the calculate button. Here is how the Center of Gravity calculation can be explained with given input values -> 0.020833 = 1.125/(54*((-16)+16.99206)).

FAQ

What is Center of Gravity?

The center of gravity (CG) in the domain of buoyancy refers to the point at which the gravitational force on an object can be considered to act and is represented as G = I/(V_o*(B+M)) or Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+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, Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces & 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 Gravity?

The center of gravity (CG) in the domain of buoyancy refers to the point at which the gravitational force on an object can be considered to act is calculated using Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter)). To calculate Center of Gravity, you need Moment of Inertia (I), Volume of Object (V_o), Centre of Buoyancy (B) & Metacenter (M). With our tool, you need to enter the respective value for Moment of Inertia, Volume of Object, Centre of Buoyancy & 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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