Center of Gravity Calculator

Formula

The formula to calculate the Center of Gravity (G) is:

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

Definition

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

Example Calculation

Let's assume the following values:

Moment of Inertia (I) = 1.125 Kilogram Square Meter
Volume of Object (Vo) = 54 Cubic Meter
Centre of Buoyancy (B) = -16
Metacenter (M) = 16.99206

Using the formula:

$G = \frac{1.125}{54 \cdot (-16 + 16.99206)} \approx 0.0210000739202602$

The Center of Gravity is approximately 0.0210000739202602.

Conversion Chart

Moment of Inertia (Kilogram Square Meter)	Volume of Object (Cubic Meter)	Centre of Buoyancy	Metacenter	Center of Gravity
1	54	-16	16.99206	0.018666732373565
1.05	54	-16	16.99206	0.019600068992243
1.1	54	-16	16.99206	0.020533405610921
1.15	54	-16	16.99206	0.021466742229599