Fluid Pressure and Fluid Force

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Presentation transcript:

Fluid Pressure and Fluid Force Pressure is defined as the force per unit of area over the surface of a body. In general the pressure is proportional to the depth of the object in the fluid.

Fluid Pressure and Fluid Force Below are some common weight-densities of fluids in pounds per cubic foot. Ethyl alcohol 49.4 Gasoline 41.0–43.0 Glycerin 78.6 Kerosene 51.2 Mercury 849.0 Seawater 64.0 Water 62.4

Example 1 – Fluid Force on a Submerged Sheet Find the fluid force on a rectangular metal sheet measuring 3 feet by 4 feet that is submerged in 6 feet of water, as shown in Figure 7.69. Fluid force = F = PA = (pressure)(area). Figure 7.69

Example 2 – Buoyant Force Buoyant Force of a Rectangular Solid Defined The difference between the fluid force exerted on the top side and the fluid force exerted on the bottom side. Find the Buoyant Force of the rectangular solid shown. The top is parallel to the surface of the water. Again use F = wha

Fluid Pressure and Fluid Force

Example 3 – Fluid Force on a Vertical Surface A vertical gate in a dam has the shape of an isosceles trapezoid 8 feet across the top and 6 feet across the bottom, with a height of 5 feet, as shown in Figure 7.71(a). What is the fluid force on the gate when the top of the gate is 4 feet below the surface of the water? Figure 7.71(a)