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Center of Gravity Formula

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Centre of gravity of the object is the point through which gravitational force is acting. Check FAQs

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

G - Centre of Gravity?I - Moment of Inertia?V_o - Volume of Object?B - Centre of Buoyancy?M - Metacenter?

Center of Gravity Example

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Here is how the Center of Gravity equation looks like with Values.

Here is how the Center of Gravity equation looks like with Units.

Here is how the Center of Gravity equation looks like.

0.021 = \frac{1.125}{54 \cdot (-16 + 16.9921)}

0.021 = \frac{1.125kg·m²}{54m³ \cdot (-16 + 16.9921)}

0.021 = \frac{1.125}{54 \cdot (-16 + 16.9921)}

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Center of Gravity Solution

Follow our step by step solution on how to calculate Center of Gravity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G = \frac{1.125kg·m²}{54m³ \cdot (-16 + 16.9921)}

Next Step Prepare to Evaluate

∴

G = \frac{1.125}{54 \cdot (-16 + 16.9921)}

Next Step Evaluate

∴

G = 0.0210000739202602

LAST Step Rounding Answer

∴

G = 0.021

Center of Gravity Formula Elements

Variables

Centre of Gravity

Centre of gravity of the object is the point through which gravitational force is acting.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Centre of Gravity

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Volume of Object

Volume of Object is the volume occupied by a submerged or floating object in a fluid.

Symbol: V_o

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Object

Centre of Buoyancy

Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Centre of Buoyancy

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.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Metacenter

Other formulas in Hydrostatic Fluid category

Go Force Acting in y-Direction in Momentum Equation

F y = ρ l \cdot Q \cdot (- V 2 \cdot \sin (θ) - P 2 \cdot A 2 \cdot \sin (θ))

Go Force Acting in x Direction in Momentum Equation

F x = ρ l \cdot Q \cdot (V 1 - V 2 \cdot \cos (θ)) + P 1 \cdot A 1 - (P 2 \cdot A 2 \cdot \cos (θ))

Go Fluid Dynamic or Shear Viscosity Formula

μ = \frac{F a \cdot r}{A \cdot P s}

Go Center of Buoyancy

B = (\frac{I}{V o}) - M

How to Evaluate Center of Gravity?

Center of Gravity evaluator uses Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter)) to evaluate the Centre of Gravity, Center of Gravity formula is defined as a point where the weight of an object can be considered to be acting, providing a single point of reference for the entire weight of the object, and is a critical concept in the context of hydrostatic fluid, particularly in the design and stability of ships and offshore platforms. Centre of Gravity is denoted by G symbol.

How to evaluate Center of Gravity using this online evaluator? To use this online evaluator 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.

FAQs on Center of Gravity

What is the formula to find Center of Gravity?

The formula of Center of Gravity is expressed as Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter)). Here is an example- 0.020833 = 1.125/(54*((-16)+16.99206)).

How to calculate Center of Gravity?

With Moment of Inertia (I), Volume of Object (V_o), Centre of Buoyancy (B) & Metacenter (M) we can find Center of Gravity using the formula - Centre of Gravity = Moment of Inertia/(Volume of Object*(Centre of Buoyancy+Metacenter)).

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Center of Gravity Formula

Center of Gravity Example

Center of Gravity Solution

Center of Gravity Formula Elements

Other formulas in Hydrostatic Fluid category

How to Evaluate Center of Gravity?

FAQs on Center of Gravity

Variable Name