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HW17solution - AAE 334 Fall 2011 Homework 17 SOLUTION Due...

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AAE 334, Fall 2011, Homework 17 SOLUTION Due Monday, October 24, at the beginning of class. 1. How fast must air at 70 Fahrenheit and 14.7 psi static pressure move for Bernoulli s equation to give a 10% error in total pressure? Bernoulli: 2 2 2 2 , 2 1 2 1 2 1 2 1 M p Ma RT p p V RT p p V p p Bernoulli o 2 2 1 1 2 2 2 2 , 7 . 0 1 2117 460 70 1716 2 1 144 7 . 14 M ft lb R R slug lb ft V ft in in lb p o o Bernoulli o Compressible isentropic: 5 . 3 2 2 5 . 3 2 2 2 2 1 2 0 , 2 . 0 1 2117 2 1 1 144 7 . 14 2 1 1 M ft lb M ft in in lb M p p s o The error: 5 . 3 2 2 5 . 3 2 2 2 2 0 , 0 , , 2 . 0 1 2117 2 . 0 1 2117 7 . 0 1 2117 M ft lb M ft lb M ft lb p p p s o s o Bernoulli o
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