Hydrostatic Pressure and Force

Hydrostatic Pressure and Force - Hydrostatic Pressure and...

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Hydrostatic Pressure and Force In this section we are going to submerge a vertical plate in water and we want to know the force that is exerted on the plate due to the pressure of the water. This force is often called the hydrostatic force. There are two basic formulas that we’ll be using here. First, if we are d meters below the surface then the hydrostatic pressure is given by, where, ρ is the density of the fluid and g is the gravitational acceleration. We are going to assume that the fluid in question is water and since we are going to be using the metric system these quantities become, The second formula that we need is the following. Assume that a constant pressure P is acting on a surface with area A . Then the hydrostatic force that acts on the area is, Note that we won’t be able to find the hydrostatic force on a vertical plate using this formula since the pressure will vary with depth and hence will not be constant as required by this formula. We will however need this for our work.
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This note was uploaded on 11/10/2011 for the course MATH 136 taught by Professor Prellis during the Fall '08 term at Rutgers.

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Hydrostatic Pressure and Force - Hydrostatic Pressure and...

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