ME218 F2011 2nd Midterm Exam Solutions

# ME218 F2011 2nd Midterm Exam Solutions - Department of...

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Department of Mechanical Engineering The University of Texas at Austin ME 218 Engineering Computational Methods Second Midterm Examination Fall 2011 Instructor: Prof. Dragan Djurdjanovic November 3, 2011 (8:00 am-9:15 am) Student Name: Student BID: Lab Section Number (or time): I have neither given nor received any unauthorized aid on this exam, nor have I concealed anv violations of the honor code. Signature:. Note: There are 4 problems. Problems I and 2 carry 25 points. Problem 3 carries 20 points and Problem 4 carries 30 points. There are 100 points in total for you to win. GOOD LUCK!!!

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Problem 1: (25 points) A football coach is trying to perfect quarterback's throwing and asks engineering department to explore damping forces involved with the flight of a football. Drag forces were measured in a wind tunnel for various speeds of the ball and results of these tests are shown in the table below. v [m/s] F[N] 2 0.5513 3 0.5670 4 1.3554 5 1.9454 The drag is assumed to be a non-linear function of the form where coefficients a and b need to be identified from the data. (a) Transform the problem at hand to cast the problem of identifying parameters a and b as a linear least squares problem. You can use the
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ME218 F2011 2nd Midterm Exam Solutions - Department of...

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