1. What is a Buoyant Force Calculator?

Definition: This calculator determines the upward buoyant force exerted on an object immersed in a fluid, according to Archimedes' Principle.

Purpose: It helps physicists, engineers, and students understand and calculate the buoyant force acting on submerged objects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_b \) — Buoyant force (Newtons, N)
• \( \rho \) — Fluid density (kilograms per cubic meter, kg/m³)
• \( V \) — Volume of fluid displaced (cubic meters, m³)
• \( g \) — Acceleration due to gravity (9.81 m/s² on Earth)

Explanation: The buoyant force equals the weight of the fluid displaced by the object.

3. Importance of Buoyant Force Calculation

Details: Understanding buoyant force is crucial for designing ships, submarines, flotation devices, and understanding fluid mechanics.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' Principle?
A: It states that the buoyant force equals the weight of the fluid displaced by the object.

Q2: What's the density of water?
A: Pure water at 4°C has a density of 1000 kg/m³. Saltwater is about 1025 kg/m³.

Q3: Does object density affect buoyant force?
A: No, buoyant force depends only on fluid density and displaced volume. However, object density determines if it floats or sinks.

Q4: 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.

Q5: Can I use this for gases?
A: Yes, but gas densities are much lower (e.g., air is ~1.225 kg/m³ at sea level), resulting in smaller buoyant forces.