1. What is Buoyant Force?

Definition: Buoyant force is the upward force exerted by a fluid on an immersed object, equal to the weight of the fluid displaced by the object.

Purpose: This principle explains why objects float or sink and is fundamental in fluid mechanics and naval architecture.

2. How Does the Calculator Work?

The calculator uses Archimedes' principle formula:

Where:

• \( F_b \) — Buoyant force (Newtons, N)
• \( \rho \) — Fluid density (kilograms per cubic meter, kg/m³)
• \( V \) — Displaced volume (cubic meters, m³)
• \( g \) — Acceleration due to gravity (meters per second squared, m/s²)

Explanation: The buoyant force equals the weight of the displaced fluid, calculated by multiplying fluid density by displaced volume and gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding natural phenomena like icebergs.

4. Using the Calculator

Tips: Enter the fluid density (default 1000 kg/m³ for water), displaced volume, and gravity (default 9.81 m/s² on Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the typical density of water?
A: Fresh water is about 1000 kg/m³, sea water about 1025 kg/m³.

Q2: How do I find the displaced volume?
A: For fully submerged objects, it's the object's volume. For floating objects, it's the volume below the fluid surface.

Q3: Why does gravity affect buoyant force?
A: Buoyant force equals the weight of displaced fluid, and weight depends on gravity.

Q4: Can I use this for gases?
A: Yes, but gas densities are much lower (air ~1.225 kg/m³ at sea level).

Q5: What if my object is only partially submerged?
A: Use only the submerged volume in calculations.