If an object displaces the volume of water equal to its volume, then how did Archimedes's gold crown experiment work?
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Archimedes[ a Greek mathematician, physicist, and inventor Archimedes (c. 287-212 b.c.),] uncovered a fraud in the manufacture of a golden crown commissioned by Hiero II, the king of Syracuse. ... An alloy of lighter silver would increase the bulk of the crown and cause the bowl to overflow... this is what Archimedes' principle' is based on. also known as " principle of buoyancy": that the buoyant or lifting force of an object submerged in a fluid is equal to the weight of the fluid it has displaced.
Archimedes' principle states that the upward buoyant force that is 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 and acts in the upward direction at the center of mass of the displaced fluid.
Archimedes' principle states that the upward buoyant force that is 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 and acts in the upward direction at the center of mass of the displaced fluid.
Shreya4:
but it doesnt explain
Archimedes's gold crown experiment : - more his body sinks into the water, the more water is displaced--making the displaced water an exact measure of his volume. Because gold weighs more than silver, he reasons that a crown mixed with silver would have to be bulkier to reach the same weight as one composed only of gold; therefore it would displace more water than its pure gold counterpart.
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