1. What is the Centre of Buoyancy?

The Centre of Buoyancy (CB) is the centroid of the displaced volume of fluid by a submerged or floating body. It represents the point through which the buoyant force acts on the body.

2. How Does the Calculator Work?

The calculator uses the Centre of Buoyancy formula:

Where:

• \( CB \) — Centre of buoyancy (m)
• \( V \) — Volume element (m³)
• \( \rho \) — Density (kg/m³)
• \( V_{total} \) — Total displaced volume (m³)

Explanation: The equation calculates the center of buoyancy as the centroid of the displaced fluid volume, weighted by density.

3. Importance of Centre of Buoyancy Calculation

Details: Accurate calculation of centre of buoyancy is crucial for determining the stability of floating and submerged bodies, ship design, and marine engineering applications.

4. Using the Calculator

Tips: Enter density in kg/m³, volume element in m³, and total displaced volume in m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between center of buoyancy and center of gravity?
A: Center of buoyancy is the centroid of displaced fluid, while center of gravity is the point where the total weight of the body acts.

Q2: Why is center of buoyancy important for stability?
A: The relative positions of center of buoyancy and center of gravity determine the stability of floating bodies. A higher center of buoyancy provides greater stability.

Q3: How does density affect center of buoyancy?
A: Density affects the magnitude of buoyant force but the center of buoyancy position depends on the geometry of the displaced volume.

Q4: Can this calculator be used for irregular shapes?
A: This simplified calculator assumes uniform density. For irregular shapes, numerical integration methods would be required.

Q5: What units should be used for accurate calculations?
A: Use consistent SI units: meters for distance, kilograms per cubic meter for density, and cubic meters for volume.