1. What is Buoyant Force?

Definition: The upward force exerted by a fluid on any immersed object, opposing the weight of the object.

Principle: This is known as Archimedes' Principle, which states that the buoyant force equals the weight of the displaced fluid.

2. How Does the Formula Work?

The calculator uses the formula:

Where:

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

Explanation: The force results from the pressure difference between the top and bottom of the submerged object.

3. Importance of Buoyant Force

Applications: Essential for understanding floating objects, ship design, submarines, hot air balloons, and hydrometers.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why does buoyant force depend on displaced volume?
A: The force equals the weight of displaced fluid, so more displacement means greater upward force.

Q2: What's the density of common fluids?
A: Water = 1000 kg/m³, Seawater ≈ 1025 kg/m³, Air ≈ 1.225 kg/m³ at sea level.

Q3: Does shape affect buoyant force?
A: No, only the displaced volume matters (for fully submerged objects).

Q4: What if the object is floating?
A: For floating objects, use only the submerged portion's volume in calculations.

Q5: How does gravity affect buoyancy?
A: Greater gravity increases both the object's weight and the buoyant force proportionally.