Ship Buoyancy Calculator

Buoyancy Force Formula:

\[ F_b = \rho_{sea} \times V_{displaced} \times g \]

Buoyant Force (F_b):

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1. What is Buoyancy Force?

Buoyancy force is the upward force exerted by a fluid that opposes the weight of an object immersed in it. For ships, this force must equal the weight of the ship to keep it afloat.

2. How Does the Calculator Work?

The calculator uses the buoyancy force formula:

\[ F_b = \rho_{sea} \times V_{displaced} \times g \]

Where:

\( F_b \) — Buoyant force (N)
\( \rho_{sea} \) — Seawater density (kg/m³)
\( V_{displaced} \) — Displaced volume (m³)
\( g \) — Gravity (9.81 m/s²)

Explanation: The buoyant force equals the weight of the fluid displaced by the object (Archimedes' principle).

3. Importance of Buoyancy Calculation

Details: Accurate buoyancy calculation is crucial for ship design, stability analysis, and ensuring vessels remain afloat under various loading conditions.

4. Using the Calculator

Tips: Enter seawater density in kg/m³, displaced volume in m³, and gravity in m/s². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is typical seawater density?
A: Seawater density is typically around 1025 kg/m³, but varies with salinity and temperature.

Q2: How is displaced volume calculated?
A: Displaced volume equals the volume of the part of the ship that is submerged underwater.

Q3: Why is gravity set to 9.81 m/s²?
A: 9.81 m/s² is the standard acceleration due to gravity on Earth's surface.

Q4: How does buoyancy relate to ship stability?
A: The relationship between buoyancy force and weight distribution determines a ship's stability and tendency to return to upright position.

Q5: Can this calculator be used for freshwater?
A: Yes, simply use freshwater density (approximately 1000 kg/m³) instead of seawater density.