The formula to calculate the Center of Gravity (G) is:
\[ G = \frac{I}{V_{o} \cdot (B + M)} \]
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.
Let's assume the following values:
Using the formula:
\[ G = \frac{1.125}{54 \cdot (-16 + 16.99206)} \approx 0.0210000739202602 \]
The Center of Gravity is approximately 0.0210000739202602.
| 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 |