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- The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity. The pressure in a static fluid arises from the weight of the fluid and is given by the expression P static fluid = ρgh where ρ = m/V = fluid density g = acceleration of gravity h = depth of fluid
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The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity. The pressure in a static fluid arises from the weight of the fluid and is given by the expression. P static fluid = ρgh where. ρ = m/V = fluid density.
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- Forces on an Element of Fluid. We will study forces in much more detail later in Chapter 6. The main idea to focus on here is that when a system is in equilibrium, such as a static fluid, all the forces acting on that system must be balanced.
As such, pressure depends on the amount of gas (in number of molecules), its temperature, and the volume of the container. Hydrostatic pressure refers to the pressure exerted by a fluid (gas or liquid) at any point in space within that fluid, assuming that the fluid is incompressible and at rest.
The reason is that fluids cannot withstand or exert shearing forces. Thus, in a static fluid enclosed in a tank, the force exerted on the walls of the tank is exerted perpendicular to the inside surface. Likewise, pressure is exerted perpendicular to the surfaces of any object within the fluid.
At any point within a static fluid, the pressure on all sides must be equal—otherwise, the fluid at that point would react to a net force and accelerate. The pressure at any point in a static fluid depends only on the depth at that point.
Jul 16, 2024 · P = ρ g h. This value is the pressure due to the weight of a fluid. The equation has general validity beyond the special conditions under which it is derived here. Even if the container were not there, the surrounding fluid would still exert this pressure, keeping the fluid static.
The pressure at any point in a static fluid depends only on the depth at that point. As discussed, pressure in a fluid near Earth varies with depth due to the weight of fluid above a particular level.
