1. What is Buoyant Force?

The 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. This principle is known as Archimedes' Principle.

2. How Does the Calculator Work?

The calculator uses the buoyancy formula:

Where:

• \( F_b \) — Buoyant force (N)
• \( \rho_{fluid} \) — Fluid density (kg/m³)
• \( V_{displaced} \) — Volume of displaced fluid (m³)
• \( g \) — Acceleration due to gravity (9.81 m/s² on Earth)

Explanation: The buoyant force depends on the density of the fluid, the volume of fluid displaced by the object, and the local gravitational acceleration.

3. Importance of Buoyancy Calculation

Details: Buoyancy calculations are essential for ship design, submarine operations, hot air ballooning, and understanding why objects float or sink in fluids.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (1000 for water), displaced volume in m³, and gravitational acceleration (9.81 m/s² on Earth). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the buoyant force in water?
A: For water (ρ=1000 kg/m³), the buoyant force is approximately 9810 N per cubic meter of displaced water (using g=9.81 m/s²).

Q2: Does buoyancy depend on the object's material?
A: No, buoyancy only depends on the fluid's properties and the displaced volume, not the object's material.

Q3: What happens if buoyant force equals weight?
A: When buoyant force equals the object's weight, the object will float neutrally (neither sink nor rise).

Q4: How does salt water affect buoyancy?
A: Salt water is denser (ρ≈1025 kg/m³) than fresh water, providing greater buoyant force for the same displaced volume.

Q5: Can this calculator be used for gases?
A: Yes, the same formula applies to gases (like air), though densities are much lower (ρ≈1.225 kg/m³ for air at sea level).