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Buoyant Force Formula:
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Buoyant Force is the upward force exerted by any fluid upon a body placed in it. For a vertical prism, this force depends on the specific weight of the body, the difference in pressure head, and the cross-sectional area of the body.
The calculator uses the Buoyant Force formula:
Where:
Explanation: The formula calculates the upward force exerted by a fluid on a submerged or partially submerged body based on pressure differences and the body's characteristics.
Details: Accurate buoyant force calculation is crucial for designing floating structures, understanding fluid mechanics principles, and analyzing stability of submerged objects in various engineering applications.
Tips: Enter specific weight in N/m³, pressure head difference in meters, and cross-sectional area in m². All values must be positive numbers greater than zero.
Q1: What is specific weight and how is it different from density?
A: Specific weight is the weight per unit volume (N/m³), while density is mass per unit volume (kg/m³). Specific weight = density × gravitational acceleration.
Q2: How does pressure head relate to actual pressure?
A: Pressure head is the height of a fluid column that corresponds to a specific pressure. It's related to pressure by P = ρgh, where ρ is density and g is gravity.
Q3: Does this formula work for all shapes?
A: This specific formula is derived for vertical prism shapes. For other shapes, different approaches may be needed to calculate buoyant force accurately.
Q4: What factors affect buoyant force?
A: Buoyant force depends on the fluid density, gravitational acceleration, and the volume of fluid displaced by the object.
Q5: How is buoyant force related to Archimedes' principle?
A: Archimedes' principle states that the buoyant force equals the weight of the fluid displaced by the object. This formula provides a mathematical way to calculate that force for specific geometries.