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Buoyancy Force Equation English Units

Buoyancy Force Formula:

\[ F_b = \rho \times V \times g \]

slugs/ft³
ft³
ft/s²

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1. What is Buoyancy Force in English Units?

Definition: The buoyant force is the upward force exerted by a fluid on an immersed object, equal to the weight of the fluid displaced by the object.

Purpose: This calculation is essential in naval architecture, fluid mechanics, and any engineering application involving submerged objects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_b = \rho \times V \times g \]

Where:

Explanation: The force equals the product of fluid density, displaced volume, and gravitational acceleration.

3. Importance of Buoyancy Calculations

Details: Accurate buoyancy calculations ensure proper floatation, stability of ships and submarines, and correct design of hydraulic systems.

4. Using the Calculator

Tips: Enter the fluid density (typical water = 1.94 slugs/ft³), displaced volume, and gravity (default 32.2 ft/s²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a slug unit?
A: A slug is the English unit of mass (1 slug = 32.2 lbm). It's used in engineering calculations involving force and acceleration.

Q2: How do I find fluid density?
A: For water at 60°F, use 1.94 slugs/ft³. For other fluids, consult engineering tables or measure mass per unit volume.

Q3: What if my object is partially submerged?
A: Use only the submerged volume in your calculation (the portion below the fluid surface).

Q4: How does this relate to Archimedes' principle?
A: This equation is the mathematical expression of Archimedes' principle in English units.

Q5: Can I use this for gases?
A: Yes, but gas densities are much lower (air ≈ 0.00238 slugs/ft³), resulting in much smaller buoyancy forces.

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