Buoyant Force On Flat Plate Of Uniform Thickness Calculator

Buoyant Force Formula:

\[ F_{buoyant} = \rho_{fluid} \times [g] \times h \times A \]

Density of Fluid (ρ):

kg/m³

Vertical Distance from Free Surface (h):

Area of Surface (A):

m²

Buoyant Force (F_buoyant):

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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. This force is equal to the weight of the fluid displaced by the object, according to Archimedes' principle.

2. How Does the Calculator Work?

The calculator uses the buoyant force formula:

\[ F_{buoyant} = \rho_{fluid} \times [g] \times h \times A \]

Where:

\( F_{buoyant} \) — Buoyant force (N)
\( \rho_{fluid} \) — Density of fluid (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( h \) — Vertical distance from free surface (m)
\( A \) — Area of surface (m²)

Explanation: The formula calculates the buoyant force acting on a flat plate of uniform thickness submerged in a fluid, based on the fluid density, gravitational acceleration, depth of submersion, and surface area.

3. Importance of Buoyant Force Calculation

Details: Calculating buoyant force is essential for designing floating structures, ships, submarines, and understanding fluid mechanics principles. It helps determine whether an object will float, sink, or remain neutrally buoyant in a fluid.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, vertical distance from free surface in meters, and surface area in square meters. All values must be positive numbers greater than zero.

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 properties and the volume of fluid displaced, not on the object's material.

Q3: How does depth affect buoyant force?
A: For incompressible fluids, buoyant force increases with depth as pressure increases with depth.

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 calculator be used for irregular shapes?
A: This specific calculator is designed for flat plates of uniform thickness. For irregular shapes, more complex calculations are needed.