1. What is Centre of Buoyancy?

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

2. How Does the Calculator Work?

The calculator uses the Centre of Buoyancy equation:

Where:

• \( y \) — Vertical coordinate (m)
• \( dV \) — Volume element (m³)
• \( V \) — Total displaced volume (m³)

Explanation: The equation calculates the average vertical position of the displaced fluid volume, weighted by the volume elements.

3. Importance of Centre of Buoyancy

Details: The CB is crucial for determining the stability of floating bodies. It must be properly positioned relative to the centre of gravity to ensure stability.

4. Using the Calculator

Tips: Enter the y-coordinate in meters, volume element in cubic meters, and total volume in cubic meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How does CB affect ship stability?
A: A higher CB relative to the centre of gravity increases stability, while a lower CB can make a vessel unstable.

Q2: What happens when CB and CG coincide?
A: When Centre of Buoyancy and Centre of Gravity coincide, the body is in neutral equilibrium.

Q3: Does CB change with loading?
A: Yes, CB shifts as the displaced volume changes with different loading conditions.

Q4: How is CB different from Centre of Floatation?
A: Centre of Floatation is the centroid of the waterplane area, while CB is the centroid of the underwater volume.

Q5: What units should be used?
A: Consistent units must be used (meters for length, cubic meters for volume).