Archimedes principle

Examples of Archimedes principle in the following topics:

• Buoyancy and Archimedes' Principle

  • The buoyant force on an object can be calculated using the Archimedes principle.
  • A simpler method follows from the Archimedes principle, which states that the buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.
  • The reasoning behind the Archimedes principle is that the buoyancy force on an object depends on the pressure exerted by the fluid on its submerged surface.
  • The Archimedes principle is valid for any fluid—not only liquids (such as water) but also gases (such as air).
  • We use Archimedes' Principle to determine the number of penguins an ice float can dryly support.

• Complete Submersion

  • The Archimedes principle is easiest to understand and apply in the case of entirely submersed objects.
  • This follows immediately from the Archimedes' principle, and the the fact that the object is completely submerged (and so the volume of the fluid displaced is just the volume of the object).
  • Now, we'll calculate this force using Archimedes' principle.

• Flotation

  • But the Archimedes principle states that the buoyant force is the weight of the fluid displaced.
  • This is often called the "principle of flotation" where a floating object displaces a weight of fluid equal to its own weight.
  • Density plays a crucial role in Archimedes' principle.

• Scientific Advancements in the Classical Period

  • Archimedes (c. 287-212 BCE), a geometer, physicist, and engineer who laid the foundations of hydrostatics and statics, and explained the principle of the lever.

• Other Curves in Polar Coordinates

  • Archimedes’ spiral is named for its discoverer, the Greek mathematician Archimedes ($c. 287 BCE - c. 212 BCE$), who is credited with numerous discoveries in the fields of geometry and mechanics.
  • The formula that generates the graph of the Archimedes’ spiral is given by:

• Applications of Geometric Series

  • Archimedes used the sum of a geometric series to compute the area enclosed by a parabola and a straight line.
  • Archimedes' Theorem states that the total area under the parabola is $\frac{4}{3}$ of the area of the blue triangle.

• Arts and Sciences

  • By 1200 there were reasonably accurate Latin translations of the main works of Aristotle, Euclid, Ptolemy, Archimedes, and Galen—that is, of all the intellectually crucial ancient authors except Plato.
  • The logic studies by William of Occam led him to postulate a specific formulation of the principle of parsimony, known today as Occam's Razor.
  • This principle is one of the main heuristics used by modern science to select between two or more underdetermined theories.
  • The period saw several important technical innovations, like the principle of linear perspective found in the work of Masaccio, and later described by Brunelleschi.

• Reinforcement Principles

• Basic Principles of Operant Conditioning

• Volume and Density

  • He summons Archimedes, who decides to use density to determine the metal.