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Formula For Calculating Buoyant Force

Buoyant Force Formula:

\[ F_b = \rho V g \]

kg/m³
m/s²

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1. What is Buoyant Force?

Buoyant force is the upward force exerted by a fluid on an object immersed in it. This force is equal to the weight of the fluid displaced by the object, as described by Archimedes' principle.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

\[ F_b = \rho V g \]

Where:

Explanation: The buoyant force depends on the density of the fluid, the volume of fluid displaced by the object, and the gravitational acceleration.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for understanding flotation, designing ships and submarines, and analyzing objects immersed in fluids. It helps determine whether an object will float, sink, or remain neutrally buoyant.

4. Using the Calculator

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

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 does buoyant force relate 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 (neutrally buoyant).

Q4: What is 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 gases. For gases, the density is much lower, resulting in smaller buoyant forces.

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