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Relate density to pressure in a liquid The pressure in a liquid is directly proportional to the density of the liquid. Derive the formula for the pressure in a liquid. The container on the right has a base area A.
Pressure is a measurement of the force per unit area. Since a fluid is a liquid or a gas, its pressure applies in all directions. Fluid pressure can be in an enclosed container or due to gravity or motion. The pressure can also be amplified through hydraulic mechanisms and changes with the velocity of the fluid.
Let’s use Equation 14.9 to work out a formula for the pressure at a depth h from the surface in a tank of a liquid such as water, where the density of the liquid can be taken to be constant. We need to integrate Equation 14.9 from y = 0 , y = 0 , where the pressure is atmospheric pressure ( p 0 ) , ( p 0 ) , to y = − h , y = − h , the y ...
There are three important observations about pressure in a fluid. At any point that a fluid is in contact with a surface, the pressure is directed perpendicular to the surface. At any point inside a fluid, the pressure is directed in all directions with the same magnitude. (See figure 10-1).
This relatively short chapter deals with the pressure under the surface of an incompressible fluid, which in practice means a liquid, which, compared with a gas, is nearly, if not quite, incompressible. It also deals with Archimedes’ principle and the equilibrium of floating bodies.
Pressure due to the weight of a liquid of constant density is given by p = \(\rho\)gh, where p is the pressure, h is the depth of the liquid, \(\rho\) is the density of the liquid, and g is the acceleration due to gravity.
Pressure. Pressure is force per unit area: P F = A. The direction of the force exerted on an object by a fluid is toward the object and perpendicular to its surface. At a. microscopic level, the force is associated with the atoms and molecules in the fluid bouncing elastically from the surfaces of the object.
