Homework 4 - MEEN 260 Introduction to Engineering...

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MEEN 260 Introduction to Engineering Experimentation Homework 4: Measurement Uncertainty Assigned: Thursday, 12 Feb. 2009 Due: Thursday, 19 Feb. 2009, 5:00pm Homework Problems: Problem 1) Given the relationship 3 5 5 y x d = , find an expression of uncertainty d μ as a function of the means ( x and y ) and the uncertainties u x , and u y . Problem 2) A company is considering manufacturing a pipe with a desired internal cross-sectional area of 0.64 m 2 . The pipe will have a significant wall thickness. However, due to the manufacturing process, uncertainty affects the inner and outer dimensions. Two shapes are available, a square pipe (with outer side o l and inner side i l ) and a rectangular pipe, (with outer length of o l and inner dimensions of 1 i l and 2 i l ) with the following dimensions and manufacturing tolerances (uncertainties): Square Pipe: o l =1m ± 0.01m and i l =0.8m ± 0.05m Rectangular Pipe: o l =2m ± 0.02m, 1 i l =1.6m ± 0.05m, and 2 i l =0.4m ± 0.1 What is the uncertainty of the cross-sectional area for each of the pipes? Which is the
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Homework 4 - MEEN 260 Introduction to Engineering...

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