Buoyant Force Given Bottom And Top Force Calculator

Buoyant Force Formula:

\[ F_{buoyant} = F_{Bottom} - F_{Top} \]

Buoyant Force:

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1. What is Buoyant Force?

Buoyant Force is the upward force exerted by any fluid upon a body placed in it. It is equal to the weight of the fluid displaced by the object and is responsible for objects floating or sinking in fluids.

2. How Does the Calculator Work?

The calculator uses the Buoyant Force formula:

\[ F_{buoyant} = F_{Bottom} - F_{Top} \]

Where:

\( F_{buoyant} \) — Buoyant Force (Newton)
\( F_{Bottom} \) — Bottom Force, defined as the gauge pressures at the bottom surface of the plate (Newton)
\( F_{Top} \) — Top Force, defined as the gauge pressures at the top surface of the plate (Newton)

Explanation: The buoyant force is calculated as the difference between the upward force acting on the bottom surface and the downward force acting on the top surface of an object submerged in a fluid.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for understanding floating and sinking phenomena, designing ships and submarines, and analyzing fluid mechanics problems in engineering and physics.

4. Using the Calculator

Tips: Enter both bottom force and top force values in Newtons. Ensure the values are valid (non-negative numbers). The calculator will compute the buoyant force as the difference between these two forces.

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 displaced by the object.

Q2: Why does buoyant force act upward?
A: Buoyant force acts upward because fluid pressure increases with depth, creating greater pressure at the bottom of an object than at the top.

Q3: What factors affect buoyant force?
A: Buoyant force depends on the density of the fluid, the volume of fluid displaced, and gravitational acceleration.

Q4: Can buoyant force be greater than weight?
A: Yes, if the buoyant force exceeds the object's weight, the object will float or rise to the surface.

Q5: How is this related to density?
A: Objects denser than the fluid sink, while objects less dense than the fluid float. The ratio of densities determines how much of the object remains submerged.