Spring 08 HW 4

Spring 08 HW 4 - CEE 3304 Spring 2008 CEE 3304, Spring...

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Unformatted text preview: CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#4 by: Amr A. El-Sayed 1 HW #4 Hydrostatic Pressure Forces Problem 3.54 Given: Airplane flaying at 10 km altitude. The dimensions of the airplane window is 30 25 cm The pressure inside the plane is 100 kPa Find: The pressure net force (outward) on the window Temperature variation with altitude for the U.S. standard atmosphere Equation of temperature as a function of altitude (z) for the Troposphere: ) ( z z T , km K dz dT = = 87 . 5 R g T z z T p z p = ) ( ) ( CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#4 by: Amr A. El-Sayed 2 Initial Conditions: Z (at sea level) = 0.0 p = 101.3 kPa (patm) T = 23 C + 273 = 296 .K ( ) = K kg m N R slug ft lb air R o o . . 287 . . 1715 Find the outside pressure p at the elevation 10.0 km, and then the net pressure force will equal to (Inside pressure outside pressure) the area of the airplane window. The pressure at the altitude of 10,000 m is 27.966 kPa The pressure force = (100 27.966) kN/m 2 (0.30 0.20) m 2 = 1.678 kN Problem 3.58 Two submerged gates are described in the problem statement. Find: How the torque changes with increasing water depth H. 1- Hinge is at the mid-height of the gate: The torque ( ) c cp h y F T = CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#4 by: Amr A. El-Sayed 3 ( ) c cp h y F T = 2 H y h c c = = ( ) bh H F 2 = ( ) H h H...
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This note was uploaded on 05/19/2008 for the course CEE 3304 taught by Professor Aaelsayed during the Spring '08 term at Virginia Tech.

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Spring 08 HW 4 - CEE 3304 Spring 2008 CEE 3304, Spring...

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