IE 361 Exam 3 F2011

IE 361 Exam 3 F2011 - IE 361 Exam 3 Fall 2011 (Corrected) I...

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1 IE 361 Exam 3 Fall 2011 (Corrected) I have neither given nor received unauthorized assistance on this exam. ________________________________________________________ Name Date
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2 1. An old-style (before lasers, GPS, etc.) land survey located the four corners of a land parcel by measuring distances , , and ab c and angles and α β as pictured below. Of primary interest is the area, A , of the land parcel. Simple geometry/trigonometry shows that () 1 sin sin 2 Aa b b c =+ Suppose that in fact 1000 ft ac == , 1500 ft b = , and 42 ππ αβ (radians), the lengths can be measured with standard deviation .5 ft and the angles can be measured with standard deviation .02 radians. a) Finish filling in the table below (partial derivatives are evaluated at mean inputs). Input a b c Input A 530.3 0 530,330 Input σ b) Use the table above and find an approximate standard deviation to associate with a value of A . c) Uncertainty in which measured variable is the largest contributor to uncertainty in A ? Explain. Biggest contributor:___________ Explanation: 5 pts 10 pts 5 pts
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3 2. This question is based on the article "Results May Not Vary" by Johnson and McNeilly that appeared in Quality Progress in May 2011. The article describes an experiment done to determine how 3 processing factors, A - Ammonium , B - Stir Rate , and C - Reaction Temperature affect the physical properties of high purity silver powder made for use in the electronics industry. (Many details of the problem, including the units for B
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IE 361 Exam 3 F2011 - IE 361 Exam 3 Fall 2011 (Corrected) I...

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