6.5.2 Determine the mass of a two-dimensional circular object from its radial density function.6.5.1 Determine the mass of a one-dimensional object from its linear density function.This is because the pressure to the inclined walls has a vertical part, and in the left vessel, it points up, while in the middle vessel, it points down, thus, adding or removing additional pressure to the bottom pressure, so it is proportional only to the height of fluid. It depends only on the height of the fluid. The picture above shows that the static fluid pressure at a given depth does not depend upon the total mass, surface area, or container geometry. Any quantity of liquid, however small, may be made to support any weight, however large.This feature of hydrostatics has been called the hydrostatic paradox. When water was poured into the vertical tube, Pascal found that the increase in hydrostatic pressure caused the barrel to burst. Pascal inserted a 10-m long (32.8 ft) vertical tube into a barrel filled with water in the experiment. ![]() Pascal's barrel is the name of a hydrostatics experiment allegedly performed by Blaise Pascal in 1646. It is believed that this was first demonstrated by Pascal in his barrel experiment. Given a large enough height, any pressure may be attained. ![]() ![]() The formula depends only on the fluid chamber's height, not on its width or length. The simplified formula, which does not consider, for example, fluid's compression, yet gives good estimations, can be obtained as follows: Hydrostatic pressure - pressure difference between two elevations.
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