Simple question about object submerged in a fluid (fluid Mechanics)

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When an object, such as a sphere, is submerged in a fluid, the pressure at its top and bottom is determined solely by the hydrostatic equation, which relates pressure to fluid depth, not the object's weight, density, or geometry. The pressure in a fluid is a function of vertical depth and remains consistent regardless of the object's shape or the container's configuration. While submerging an object does raise the fluid's free surface, the fundamental pressure equation (p = density * g * depth) remains unchanged. Thus, the properties of submerged objects do not directly affect the pressure distribution in the fluid. Understanding these principles is essential for analyzing fluid mechanics accurately.
aero&astro
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If an object like a sphere is submerged in a fluid and held in place by a rope, does the pressure are the top and the bottom of the sphere have anything to do with the weight/density/geometery of the sphere? or is it simply a case of using the hydrostatic equation for the pressure at the top and the bottom of the object?

In gerneral does pressure in a fluid relate to the properties of objects which may be submerged in it?
 
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aero&astro said:
In gerneral does pressure in a fluid relate to the properties of objects which may be submerged in it?

Not affected at all. You could equally have an arbitrarily shaped container. The hydrostatic pressure is still just a function of the vertical depth, even if you have to go round corners to get the measurement point.

Of course putting an object into a container of fluid will increase the pressure by raising the height of the free surface, but it's still the same equation of p = density * g * depth.
 
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