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Archimedes' principle (also spelled Archimedes's principle) states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces. [1] Archimedes' principle is a law of physics fundamental to fluid mechanics. It was formulated by Archimedes of ...
The ratio of the volume of a sphere to the volume of its circumscribed cylinder is 2:3, as was determined by Archimedes. The principal formulae derived in On the Sphere and Cylinder are those mentioned above: the surface area of the sphere, the volume of the contained ball, and surface area and volume of the cylinder.
The procedure, pioneered by Behnke, Feen and Welham as means to later quantify the relation between specific gravity and the fat content, [1] is based on Archimedes' principle, which states that: The buoyant force which water exerts on an immersed object is equal to the weight of water that the object displaces.
The dependence of the volume of the sphere on the radius is obvious from scaling, although that also was not trivial to make rigorous back then. The method then gives the familiar formula for the volume of a sphere. By scaling the dimensions linearly Archimedes easily extended the volume result to spheroids. [1]: 21-23
The lever and its properties were already well known before the time of Archimedes, and he was not the first to provide an analysis of the principle involved. [5] The earlier Mechanical Problems, once attributed to Aristotle but most likely written by one of his successors, contains a loose proof of the law of the lever without employing the concept of centre of gravity.
An airship operates on the principle of buoyancy, according to Archimedes' principle. In an airship, air is the fluid in contrast to a traditional ship where water is the fluid. The density of air at standard temperature and pressure is 1.28 g/L, so 1 liter of displaced air has sufficient buoyant force to lift 1.28 g.
This principle states that a body immersed in a fluid experiences a buoyant force equal to the weight of the fluid it displaces. [3] Archimedes maintained that each particle of a fluid mass, when in equilibrium, is equally pressed in every direction; and he inquired into the conditions according to which a solid body floating in a fluid should ...
Archimedean principle may refer to: Archimedes' principle , a principle relating buoyancy with displacement Archimedean property , a mathematical property of numbers and other algebraic structures