How Did Archimedes Use His Principle to Compare Densities of Gold and Silver?

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SUMMARY

Archimedes' principle states that an object submerged in a fluid displaces a volume of fluid equal to the volume of the object. In the discussion, it is clarified that Archimedes used this principle to compare the densities of gold and silver by immersing equal masses of both metals in water. Although the two metals have the same mass, their densities differ, resulting in different volumes of water displacement. Gold, being denser than silver, displaces less water than an equal mass of silver.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Basic knowledge of density and volume
  • Familiarity with the concepts of mass and buoyancy
  • Knowledge of the properties of gold and silver
NEXT STEPS
  • Research the mathematical formula for density: Density = Mass/Volume
  • Explore experiments demonstrating Archimedes' principle in various fluids
  • Investigate the historical context of Archimedes' discoveries
  • Learn about the applications of density measurements in material science
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Students of physics, educators teaching principles of buoyancy, and anyone interested in the historical applications of scientific principles in material identification.

roger5
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Can somebody explain Achimedes principle to me? Where he used it to determine the difference in density between silver and gold. Apparently he immersed a lump of gold and silver in water (I assume they were the same size/volume) and each lump displaced a different volume of water. Is that the correct story? If it is, how can two objects with the same volume displace a different amount of water?
 
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The pieces of gold and silver did not have the same volume, they had the same mass.

The silver is obviously less dense, therefore has a greater volume, therefore displaces more water.
 
That's what I thought. Thanks
 

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