Archimedes' principle

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Archimedes' Principle

Archimedes' Principle (pronounced: ar-ki-mee-deez prin-suh-puhl) is a fundamental concept in Fluid Mechanics and Physics. It is named after the ancient Greek mathematician and inventor, Archimedes, who first proposed this principle.

Etymology

The term "Archimedes' Principle" is derived from the name of its proposer, Archimedes of Syracuse. Archimedes was a prominent Greek mathematician, physicist, engineer, inventor, and astronomer in the 3rd century BC.

Definition

Archimedes' Principle states that the upward buoyant force exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces. This principle is applied in numerous scientific and real-world applications, including the design of ships and submarines, hydrometers, and hot air balloons.

Mathematical Expression

The mathematical expression of Archimedes' Principle is represented as:

F = ρ * g * V

where:

  • F is the buoyant force,
  • ρ is the density of the fluid,
  • g is the acceleration due to gravity, and
  • V is the volume of the displaced fluid.

Related Terms

  • Buoyancy: The ability or tendency of an object to float in a fluid.
  • Density: The mass per unit volume of a substance.
  • Displacement: The volume of fluid displaced by an object submerged in the fluid.
  • Fluid Mechanics: The study of the behavior of fluids either at rest or in motion.
  • Gravity: The force that attracts a body towards the center of the earth, or towards any other physical body having mass.
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