umn ME 3332 Quiz 1 ques. 2 (Hogan) Spring 2011

umn ME 3332 Quiz 1 ques. 2 (Hogan) Spring 2011 - P A- 1 g (...

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ME3332 - Spring 11 - Quiz # 1 Problem 2 Consider the dual inclined tube manometer system below. If P A , the pressure in open system A, is equal to 10 P B , the pressure in open system B, find H 1 in terms of the other variables given and the gravitational constant, g . (30 pts) First, we note that the pressure due to each leg of the manometer can be determined by integration of the hydrostatic equation for constant density: P = ρgh Summing the pressures from open system A to open system B in terms of vertical length:
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Unformatted text preview: P A- 1 g ( L 1 sin 1 ) + 2 g ( L 2 sin 2 ) + 2 gH 1 = P B Rearranging: 2 gH 1 = P B-P A + g [ 1 ( L 1 sin 1 )- 2 ( L 2 sin 2 )] = P B-10 P B + g [ 1 ( L 1 sin 1 )- 2 ( L 2 sin 2 )] = g [ 1 ( L 1 sin 1 )- 2 ( L 2 sin 2 )]-9 P B Solve the equation for H 1 : H 1 = 1 2 L 1 sin 1-L 2 sin 2-9 P B 2 g 1...
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