Buoyant Force Calculator

Calculate the upward buoyant force acting on a submerged or floating object. Input the displaced fluid volume and density to find the Archimedes force and apparent weight.

BUOYANT FORCE
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Buoyant Force
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Apparent Weight
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Displaced Mass
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% Weight Reduction
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Understanding Buoyant Force

Buoyant force is the net upward force exerted by a fluid on any object immersed in it. This force exists because fluid pressure increases with depth, so the pressure pushing up on the bottom of an object is always greater than the pressure pushing down on the top. The result is a net upward force equal to the weight of the displaced fluid, as stated by Archimedes' principle.

The buoyant force acts on every object in a fluid, whether the object floats, sinks, or is neutrally buoyant. An object floats when the buoyant force equals its weight, sinks when weight exceeds buoyancy, and remains suspended at any depth when they are exactly equal. Submarines control their depth by adjusting buoyancy through ballast tank flooding and blowing.

Force Equation

Fb = ρfluid × Vdisplaced × g
Wapparent = Wactual - Fb

Where Fb is the buoyant force in newtons, rho is fluid density, V is the volume of fluid displaced, g is gravitational acceleration (9.81 m/s2), and W is weight.

Applications

ApplicationPrinciple Used
Ship designHull displaces enough water for buoyancy to equal ship weight
Submarine ballastFilling/emptying tanks changes displaced volume and net buoyancy
Hot air balloonsHeated air is less dense, surrounding cooler air provides lift
HydrometersFloat depth indicates fluid density
Fish swim bladdersGas volume adjusted for neutral buoyancy at depth

Frequently Asked Questions

What is apparent weight?

Apparent weight is the actual weight minus the buoyant force. It is the weight an object appears to have when weighed while submerged in a fluid. A 10 kg rock in water might have an apparent weight equivalent to about 6 kg because the buoyant force supports approximately 40% of its weight. This concept is crucial in underwater construction, where workers must account for reduced effective weight of materials.

Does the shape of an object affect buoyant force?

For a fully submerged object, shape does not affect the buoyant force. Only the displaced volume matters. However, for partially submerged or floating objects, shape determines how much volume is displaced at any given depth, which affects stability. A flat-bottomed boat displaces volume differently than a V-hulled boat at the same draft, even though both experience the same buoyant force if they have the same weight.

How does temperature affect buoyancy in water?

Water density varies with temperature, reaching maximum density at about 4 degrees C (1000 kg/m3) and decreasing at both higher and lower temperatures. Warmer water provides less buoyancy. This is why thermal stratification occurs in lakes: warm, less dense water sits on top of cooler, denser water. The difference is small but significant for precise measurements and for understanding large-scale ocean circulation patterns.