1. What is Buoyant Force?

Definition: Buoyant force is the upward force exerted by a fluid on any 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.

2. How Does the Calculator Work?

The calculator uses Archimedes' principle formula:

Where:

• \( F_b \) — Buoyant force (Newtons)
• \( \rho \) — Fluid density (kg/m³)
• \( V \) — Volume of displaced fluid (m³)
• \( g \) — Acceleration due to gravity (9.81 m/s²)

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

3. Importance of Buoyant Force

Details: Understanding buoyancy is crucial for designing ships, submarines, hot air balloons, and understanding why objects float or sink.

4. Using the Calculator

Tips: Enter the fluid density (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's the density of water?
A: Pure water at 4°C has a density of 1000 kg/m³. Saltwater is denser (~1025 kg/m³).

Q2: How do I find 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 is gravity included?
A: Buoyant force depends on the weight of displaced fluid, and weight = mass × gravity.

Q4: What if my object is floating?
A: For floating objects, buoyant force equals the object's weight (equilibrium condition).

Q5: Does shape affect buoyant force?
A: No, only the displaced volume matters (Archimedes' principle).