![]() 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: ![]() Where y is the distance from the top of the tank to the given depth.Hydrostatic pressure - pressure difference between two elevations. Then, the ratio of the width at a given depth to the width at the top is equal to the ratio of the depth to the height of the tank: ![]() Let's denote the width of the tank at the top as W and the width at a given depth as w. Since the tank is in the shape of a triangle, the width of the tank at a given depth can be found using similar triangles. Step 3: Determine the width of the tank at a given depth For water, the density is approximately 62.4 lb/ft³, and the acceleration due to gravity is approximately 32.2 ft/s². The pressure at a given depth in a fluid is given by the formula P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth. ![]() Step 2: Determine the pressure at a given depth ![]() Let's denote the height of the tank as h. Since the tank is full of water, the depth of the water is equal to the height of the triangular tank. ![]()
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