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Spring 08 Test 1 Sol

# Spring 08 Test 1 Sol - CEE 3304 Fluid Mechanics for Civil...

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CEE 3304 Fluid Mechanics for Civil and Environmental Engineers Exam 1 – Spring Semester, 2008 1 Problem 3 (10 points) The Roanoke airport reports an atmospheric pressure reading of 30.90 inches of mercury (S = 13.57) and the temperature is 85 ° F. Calculate: Equation used & Numerical substitution Final answer Units the absolute pressure of the atmosphere v Hg atm P h P + = . γ P v = 0.0 water Hg S γ γ = 3 40 . 62 * 57 . 13 ft lb Hg = γ = 846.768 lb/ft 3 inch ft inch ft lb P atm 12 90 . 30 * 768 . 846 3 = = 2180.427 lb/ft 2 ( ) 2 2 2 12 * 427 . 2180 inch ft ft lb P atm = = 15.14 lb/in 2 (psi) 15.14 psi the density of the atmosphere T R P . = ρ Where: P Absolute pressure R Gas constant “R for air @ T = 85 o F” = 1716 R slug lb ft o . . T Absolute temperature: ( ) R F t T o o 67 . 459 + = , or ( ) K C t T o o 273 + = ( ) R F R slug lb ft ft lb o o o 67 . 459 85 . . 1716 427 . 2180 2 + = ρ 0.00233 slug/ft 3

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