1. What is Buoyant Force?

The 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. This principle is known as Archimedes' Principle.

2. How Does the Calculator Work?

The calculator uses the buoyant force equation:

Where:

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

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

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, hot air balloons, and understanding why objects float or sink. It's fundamental in fluid mechanics and hydrostatic applications.

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's the relationship between buoyant force and weight?
A: An object floats when buoyant force equals its weight, and sinks when buoyant force is less than its weight.

Q2: Does shape affect buoyant force?
A: No, buoyant force depends only on fluid density and displaced volume, not the object's shape or composition.

Q3: How does saltwater differ from freshwater?
A: Saltwater has higher density (~1025 kg/m³ vs 1000 kg/m³), resulting in greater buoyant force for the same displaced volume.

Q4: What if the object is partially submerged?
A: The equation still applies, but V represents only the submerged volume of the object.

Q5: How does this relate to hot air balloons?
A: The "fluid" is air, and heating the air decreases its density, creating buoyant force greater than the balloon's weight.