1. What is the Buoyant Force Formula?

The buoyant force formula, also known as Archimedes' principle, states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces.

2. How Does the Calculator Work?

The calculator uses the buoyant force equation:

Where:

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

Explanation: This formula calculates the upward force exerted by a fluid on any object placed in it, which opposes the weight of the object.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing ships, submarines, and other floating structures. It's also fundamental in understanding why objects float or sink and is crucial in fluid mechanics and hydrodynamics.

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: Does buoyant force depend on the object's material?
A: No, buoyant force depends only on the fluid's density and the volume of fluid displaced, not on the object's material.

Q3: How is buoyant force related to floating and sinking?
A: If buoyant force is greater than the object's weight, it floats. If less, it sinks. If equal, it remains suspended.

Q4: What's the difference between buoyant force and weight?
A: Weight is the downward force due to gravity, while buoyant force is the upward force exerted by the fluid.

Q5: Can this formula be used for gases as well as liquids?
A: Yes, the buoyant force formula applies to all fluids, including both liquids and gases.