EXAM_3_Practice_Solution

EXAM_3_Practice_Solution - ME 370 Practice Exam 3 Fall 2010...

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Unformatted text preview: ME 370 Practice Exam 3 Fall 2010 ME 370: Engineering Measurements and Instrumentation Fall 2010 Practice Exam 3 Name: 5.0511,,” Section: NOTE: This is a practice exam, it, by no means, should be identical to the real exam. It is solely used for practice purpose, provides some general idea on the real exam. PLEASE READ THE FOLLOWING INSTRUCTIONS .. ,. For the multiple choice and true/falseproblems, please‘WRlTE- IN your answer clearly and-legib‘ly in the indicated space for each problem. . _ ' ' " Please write down justification or calculations to support your~ answers. For problems involving calculations, you may not be awarded points if you do not show your work. - This is a close-book, close note exam - you areNOT allowed to use the assigned course textbook. You are allowed a single 8.5 ” x 11"‘shee‘t (bothisides) of notes. The note sheet has to be handwritten and to be made by yourself. Photocopies or printed version is not allowed. You'must attach your note sheet with your exam and turn it in. {I , v ' By writing your name on this sheet, you agree to abide by the honor system and uphold academic integrity. WARNING: Cheating on the exam constitutes academic fraud and will result in an automatic failing grade for the course. ' ' ' ' ME 370 Practice Exam 3 Fall 2010 Problem 1 (35 points): A second order transducer can be modeled as 0.0137 + 1.457 + 1003/ = F (t). For such as system I (A) Determine the natural frequency of the system (5 points) (B) Determine the damping ratio of the system (5 points) (C) Determine the static sensitivity of the system (5 points) (D) Assume the damping ratio of the system is 0.7, and the natural frequency is 100 Hz, the system static sensitivity is 5 V/N, and the input signal is F(t) = 5 + 5 sin(50t) + 10ccs(20t), what is the steady output signal (15 points), and the frequency spectrum of the signal (5 points) goiw’fion: ?.blb‘+l.\\—§g.+lbug. o‘ol M ~ I»? q .— \°.;’ 3 [email protected] W) ,L-“ 7'5 ‘ ~ I (:9) mfg] +151.” +3 “k1: (C) \A 3 7‘; '1 ~99 (9) ‘F‘C‘Ujf ‘FLLU :YSTn for T3: {0 0,; 20+ ALT-'5‘ (PVT—3" A5310 (P539) Wu 72,741" 3-, psi £3,052 PW We? 97 91m .2 pink) :15 Tats?) 7? f) ,L (f) -; 3L. N1LW1JALQU; Pig 4; ti L) M5092.) '5 “L/ lb. ‘93,): 2r4u2(§°t#o.nn) ME 370 Practice Exam 3 Fall 2010 Problem 2 (20 points): The following plot depicts an experimental magnitude response of the a 2'1d order system with different frequency sinusoidal input. We know that the natural frequency of the 2nd order system is 100 Hz, A) What is the range of damping ratio of the second order system? (5 points) B) If a dynamic error of i5% is desired, what the input frequency range you can use? (5 points) C) If this system is used to measure vibration, what range of Vibration frequency you can measure (10 points) I I | |_ | | | L. | | | L. ME 370 Practice Exam 3 Fall 2010 Problem 3 (45 points): An aerospace engineering student performs an experiment in a wind tunnel to determine the lift coefficient of an airfoil. The student takes 61 measurements of the vertical force using a force balance, yielding a sample mean value of 44.20 N and a sample variance of 4.00 N2. Determine (a) the probability that an additional measurement will be between 45.56 N and 48.20 N (20 points), (b) the range (in N) over which the true mean value will be, assuming 90% confidence (10 points), and (c) the range (in N2) over which the true variance will be assuming 90% confidence (15 points). Hwflg ME 370 Practice Exam 3 Fall 2010 Bonus problem (10 points): The second order force measurement system damping ratio and natural frequency can be determined experimentally by supplying a step input and measure the response, as shown in Figure below. (A) Derive the equations for the damping ratio (5 points) (B) Derive the equations for the natural frequency (5 points) Displacement ...
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This note was uploaded on 09/20/2011 for the course ME 370 taught by Professor Chung during the Spring '09 term at Iowa State.

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EXAM_3_Practice_Solution - ME 370 Practice Exam 3 Fall 2010...

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