1. What is Buoyant Force?

Buoyant force is the upward force exerted by a fluid on 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 formula:

Where:

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

Explanation: The formula calculates the upward force that opposes the weight of an object submerged in a fluid.

3. Importance of Buoyant Force Calculation

Details: Buoyant force calculations are essential in ship design, submarine operations, hot air ballooning, and understanding why objects float or sink in different fluids.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in 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: Why does an object float or sink?
A: An object floats if the buoyant force is greater than its weight, and sinks if the buoyant force is less than its weight.

Q3: How does density affect buoyancy?
A: Objects denser than the fluid sink, while objects less dense than the fluid float.

Q4: What is the standard value for gravity?
A: The standard acceleration due to gravity on Earth is approximately 9.81 m/s².

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