Total Buoyant Force Given Volumes Of Elementary Prism Submerged In Fluids Calculator

Buoyant Force Formula:

\[ F_{Buoyant} = (\omega \times \nu_1 + \omega_1 \times \nu_2) \]

Specific Weight of Body:

N/m³

Specific Volume at Point 1:

m³/kg

Specific Weight 2:

N/m³

Specific Volume at Point 2:

m³/kg

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:

\[ F_{Buoyant} = (\omega \times \nu_1 + \omega_1 \times \nu_2) \]

Where:

\( F_{Buoyant} \) — Buoyant Force (N)
\( \omega \) — Specific Weight of Body (N/m³)
\( \nu_1 \) — Specific Volume at Point 1 (m³/kg)
\( \omega_1 \) — Specific Weight 2 (N/m³)
\( \nu_2 \) — Specific Volume at Point 2 (m³/kg)

Explanation: The formula calculates the total buoyant force acting on an elementary prism submerged in multiple fluids by summing the products of specific weights and specific volumes at different points.

3. Importance of Buoyant Force Calculation

Details: Accurate buoyant force calculation is crucial for designing floating structures, understanding fluid mechanics, and analyzing the stability of submerged objects in various engineering applications.

4. Using the Calculator

Tips: Enter specific weights in N/m³ and specific volumes in m³/kg. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between specific weight and density?
A: Specific weight is weight per unit volume (N/m³), while density is mass per unit volume (kg/m³). Specific weight = density × gravitational acceleration.

Q2: How does buoyant force relate to Archimedes' principle?
A: Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces, which is the fundamental concept behind this calculation.

Q3: When is this specific formula used?
A: This formula is particularly useful for calculating buoyant force on elementary prisms submerged in multiple fluids with different specific weights at different points.

Q4: What are the limitations of this calculation?
A: The calculation assumes ideal fluid conditions and may not account for turbulent flow, viscosity effects, or complex geometric shapes beyond elementary prisms.

Q5: How is this applied in real-world engineering?
A: This calculation is used in naval architecture, offshore engineering, dam design, and any application involving submerged structures in multiple fluid layers.