Answer to Question #70607 in Mechanics | Relativity for queue

Question

Does density of material depends on fluid in Archimedes principle? If yes, then how and whats the reason behind that?

Answer 1

In his famous work “On floating bodies” Archimedes suggested that (c. 250 BC):
“Any object, wholly or partially immersed in a stationary fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.”
Indeed, taking in to account our current knowledge on gravitational force, this can be translated to formulas as
F=ρgV
where the force acting on the body do depend on the density of the fluid.
But the density of the material does not. Only the volume of the body determines the buoyant force