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Fluid Pressure and Fluid Force
Lesson 7.7
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Fluid Pressure Definition: The pressure on an object at depth h is
Where w is the weight-density of the liquid per unit of volume Some example densities water lbs/ft3 mercury 849 lbs/ft3
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Fluid Pressure Pascal's Principle: pressure exerted by a fluid at depth h is transmitted equally in all directions Fluid pressure given in terms of force per unit area
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Fluid Force on Submerged Object
Consider a rectangular metal sheet measuring 2 x 4 feet that is submerged in 7 feet of water Remember so P = 62.4 x 7 = 436.8 And F = P x A so F = x 2 x 4 = lbs
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Fluid Pressure Consider the force of fluid against the side surface of the container Pressure at a point Density x g x depth Force for a horizontal slice Density x g x depth x Area Total force
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Fluid Pressure The tank has cross section of a trapazoid
Filled to 2.5 ft with water Water is 62.4 lbs/ft3 Function of edge Length of strip Depth of strip Integral (-4,2.5) (4,2.5) 2.5 - y (-2,0) (2,0) y = 1.25x – 2.5 x = 0.8y + 2 2 (0.8y + 2) 2.5 - y
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Assignment Lesson 7.7 Page 511 Exercises 1-25 odd
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