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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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

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 Gravity Formula

LaTeX Go

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, 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 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?

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 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?

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 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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