The formula to calculate the Center of Buoyancy (B) is:
\[ B = \frac{I}{V_{o}} - M \]
Centre of Buoyancy is the center of the gravity of the volume of water which a body displaces. 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. 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:
\[ B = \frac{1.125}{54} - 16.99206 \approx -16.9712266666667 \]
The Center of Buoyancy is approximately -16.9712266666667.
| Moment of Inertia (Kilogram Square Meter) | Volume of Object (Cubic Meter) | Metacenter | Center of Buoyancy |
|---|---|---|---|
| 1 | 54 | 16.99206 | -16.973541481481480 |
| 1.05 | 54 | 16.99206 | -16.972615555555553 |
| 1.1 | 54 | 16.99206 | -16.971689629629630 |
| 1.15 | 54 | 16.99206 | -16.970763703703703 |