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buoyant force

PhysicsFluidsArchimedes' principle

Summary

Buoyant force is the upward force a fluid exerts on an object in it. By Archimedes' principle, it equals the weight of the fluid displaced, so it depends on fluid density and displaced volume. For a given displaced volume it ignores the object's mass; a floating object's buoyant force equals its weight.

Detail

Meaning: Pressure increases with depth, so the upward push on the bottom of a submerged object exceeds the downward push on its top; the net is the buoyant force. Archimedes' principle says it equals the weight of the displaced fluid. An object floats at rest when Fb balances its weight, and a fully submerged object sinks if its weight exceeds Fb.

Equation: Fb = ρfluid V g, where Fb is the buoyant force (N), ρfluid is the fluid density (kg/m³), V is the volume of fluid displaced, equal to the submerged volume of the object (m³), and g is 9.8 m/s².

On the MCAT: Questions ask whether an object floats or sinks, or how much of it is submerged. A floating object has Fb = mg, so the submerged fraction equals ρobject/ρfluid. Apparent weight in a fluid is true weight minus Fb. Expect fresh-versus-salt-water comparisons.

Common confusion: Students think a heavier object feels a bigger Fb. For a given submerged volume, Fb does not depend on the object's mass or material. A floating object, however, settles until Fb equals its weight, so a heavier floating object displaces more fluid and feels a larger Fb.

Sources

  • Physics (Giancoli)
  • Physics (Cutnell and Johnson)
  • University Physics (Young and Freedman)

Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.

buoyant force: MCAT Glossary