1. What is Buoyant Force?

Buoyant force is the upward force exerted by a fluid that opposes the weight of an object immersed in it. According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by the object.

2. How Does the Calculator Work?

The calculator uses the buoyant force equation:

Where:

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

Explanation: The equation calculates the upward force experienced by an object submerged in a fluid, which depends on the fluid's density, the volume displaced, and gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, and other floating structures. It's also crucial in understanding fluid mechanics, hydrostatics, and various engineering applications involving fluid immersion.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in m/s². Standard gravity is 9.81 m/s². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Archimedes' principle?
A: Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces.

Q2: How does object density affect buoyancy?
A: If an object's density is less than the fluid's density, it will float. If greater, it will sink. If equal, it will remain suspended.

Q3: Does shape affect buoyant force?
A: No, buoyant force depends only on the volume of fluid displaced, not on the shape or composition of the object.

Q4: What is the standard value for gravity?
A: Standard gravity on Earth is approximately 9.81 m/s², but it varies slightly with location and altitude.

Q5: Can this calculator be used for gases?
A: Yes, the same principle applies to gases, though density values are much lower for gases compared to liquids.