Air flows steadily through a variable area pipe with a velocityof V = u(x)i fts, where

Chapter 4, Problem 4.41

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Air flows steadily through a variable area pipe with a velocityof V = u(x)i fts, where the approximate measured values ofu(x) are given in the table. Plot the acceleration as a function of xfor 0 x 12 in. Plot the acceleration if the flowrate is increasedby a factor of N (i.e., the values of u are increased by a factor of N)for N = 2, 4, 10.x (in.) u (fts) x (in.) u (fts) 0 10.0 7 20.1 1 10.2 8 17.4 2 13.0 9 13.5 3 20.1 10 11.9 4 28.3 11 10.3 5 28.4 12 10.0 6 25.8 13 10.0 *

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