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Does Archimedes' principle hold in a vessel in free fall? In a satellite moving in a circular orbit?

Does Archimedes' principle hold in a vessel in free fall? In a satellite moving in a circular orbit?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
According to Archimedes’ principle, “When a body is wholly or partially immersed in a fluid, the buoyant force acting on the body is equal in magnitude to the weight of the fluid displaced by the body”.
The buoyant force acting on a body when immersed in a fluid is
FB = ρVg
Here,
Density of the fluid is ρ
Volume of the fluid displaced by the object is V
Free-fall acceleration of the Earth at the point of observation is g
In an accelerating system with an acceleration a , the buoyant force is
FB = ρV (g + a)
Consider an object floats in a fluid in a vessel.
In free-fall of an object floating in a fluid, the acceleration of the vessel is -g.
Thus, the corresponding buoyant force is


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