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Buoyant Force Formula:
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The Buoyant Force Formula, also known as Archimedes' principle, states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces. It is calculated using the formula F_b = ρ × V × g.
The calculator uses the Buoyant Force Formula:
Where:
Explanation: The formula calculates the upward force exerted by a fluid on an object submerged in it, which opposes the weight of the object.
Details: Calculating buoyant force is essential for understanding floating and sinking phenomena, designing ships and submarines, and various engineering applications involving fluid mechanics.
Tips: Enter fluid density in kg/m³, displaced volume in m³, and gravitational acceleration in m/s². Standard gravity is 9.81 m/s². All values must be positive.
Q1: What is Archimedes' principle?
A: Archimedes' principle states that any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.
Q2: How does density affect buoyancy?
A: Objects denser than the fluid will sink, while objects less dense will float. The relative density determines whether an object floats or sinks.
Q3: What is the standard value for gravity?
A: The standard acceleration due to gravity on Earth's surface is approximately 9.81 m/s², though it varies slightly with location and altitude.
Q4: Can this formula be used for gases?
A: Yes, the buoyant force formula applies to both liquids and gases, though the density values for gases are typically much lower than for liquids.
Q5: How is volume displacement measured?
A: Volume displacement can be measured by submerging the object in a graduated container and measuring the change in fluid level, or by calculating the volume based on the object's dimensions.