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Unformatted text preview: 530.327  Introduction to Fluid Mechanics  Su Statics: Forces on a submerged, curved surface. 2 m 4 m y x H O , = 1 k g / m 2 r 3 p = p air, p = p ( ) x ,y F H F V B O C A D Figure 1: Hydrostatic forces on a sub merged, curved surface. We are interested in the problem depicted in Figure 1, in volving a submerged, curved surface. What we want to know is, what is the hydrostatic force (magnitude, direction, and point of application) acting on the arc AB ? The arc AB is circular, with radius 2 m. The fluid above the arc section is water; below AB is air at atmospheric pressure, p , which is also the pressure on the free surface. The density of water is 1000 kg/m 3 , and the value of the gravitational acceleration is g = 9 . 8 m/s 2 . We can treat the problem as twodimensional, i.e. the geometry is constant in the coordinate direction that runs perpendicular to the page. The forces that we are interested in are thus forces per unit length in the outofpage ( z ) direction. In particular well consider a section of the geometry that spans one meter in the zdirection. We will define the vertical component of the force as F V and the horizontal component as F H , and we will label the point through which the force acts as ( x , y ), where the origin of the x y coordinate system is shown in the figure as the point O ....
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 Spring '08
 Su
 Statics

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