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Buoyant Force Formula:
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Buoyant force is the upward force exerted by a fluid on an object immersed in it. According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by the object.
The calculator uses the buoyant force formula:
Where:
Explanation: The formula calculates the upward force that a fluid exerts on any object placed in it, which is equal to the weight of the fluid displaced by the object.
Details: Calculating buoyant force is essential for designing ships, submarines, and other marine vessels. It's also crucial in understanding why objects float or sink and is fundamental in fluid mechanics and hydrodynamics.
Tips: Enter the density of the fluid in kg/m³ and the volume of fluid displaced in m³. All values must be valid positive numbers.
Q1: What is Archimedes' principle?
A: Archimedes' principle states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.
Q2: How does density affect buoyancy?
A: Objects with density less than the fluid will float, while objects with greater density will sink. The buoyant force increases with both fluid density and displaced volume.
Q3: Why is gravity (9.81) included in the formula?
A: Gravity is included because weight (which the buoyant force counteracts) is mass multiplied by gravity. The formula F_b = ρ × V × g calculates the weight of the displaced fluid.
Q4: Can this calculator be used for any fluid?
A: Yes, as long as you know the density of the fluid. Common fluid densities: water ≈ 1000 kg/m³, seawater ≈ 1025 kg/m³, air ≈ 1.2 kg/m³.
Q5: What's the difference between buoyant force and weight?
A: Weight is the downward force due to gravity on an object's mass, while buoyant force is the upward force exerted by a fluid on an immersed object.