EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 3, Problem 3P

Compose your own program based on Fig. 3.11 and use it to determine your computer's machine epsilon.

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A) In a factory, an s-type pitot tube was used to calculate the velocity of dry air for a point inside a stack. Calculate the velocity at that point (ft/sec) using following conditions: ● • • Pressure = 30.23 ± 0.01 in Hg (ambient) Pitot tube coefficient = 0.847 ± 0.03 Temperature = 122 ± 0.1 F (stack) Temperature = 71.2 ± 0.1 F (ambient) AP = 0.324 ± 0.008 in H2O (pitot tube) • AP = 0.891 ± 0.002 in H2O (stack) B) Find the dominant error(s) when determining precision for the problem. C) For part A, what is the precision in ft/sec for the velocity?
Q1/ For what value of x do the power series converge: 8 (-1)n-1. x2n-1 2n-1 x3 x5 = X n=1 3 Q2/ Find the Interval of convergence and Radius of convergence of the series: 8 n Σ 3+1 n=1 (x)"
Example-1: l D A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³) is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical directions. If the distance between the bearings is 0.7 m, determine the natural frequencies and plot whirl speed map. Solution: B
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