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pset2SP10 - 2 1 in A concentrated load of 350lbf is applied...

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MAE 3800 Instrumentation and Measurements Laboratory Problem Set #2 Due: Tuesday, March 16 Problem 1 (10 points) (Prob. 3.22 of the textbook) The manufacturer of inexpensive outdoor thermometers checks a sample of nine against a o 68 F standard. The following results were obtained: 68.5 67.5 67 69 68 67 67.5 69 69. Using the Student’s t-test, calculate the range within which the population mean may be expected to exist with a confidence level of 95%. Problem 2 (10 points) (Prob. 3.3 of the textbook) a . A 68-k resistor is paralleled with a 12-k resistor. Each resistor has a % 10 ± tolerance. What will be the nominal resistance and the uncertainty of the combination? b . If the values remain the same except that the tolerance on the 68-k resistor is dropped to % 5 ± , what will be the uncertainty of the combination? Problem 3 (10 points) (Prob. 3.12 of the textbook) A cantilever beam of circular section has a length of 6 ft and a diameter of 2
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Unformatted text preview: 2 1 in. A concentrated load of 350lbf is applied at the beam end, perpendicular to the length of the beam. If the uncertainty in the length is 5 . 1 ± in., in the diameter is 08 . ± in., and in the force is 5 ± lbf, what is the uncertainty in the calculated maximum bending stress? Problem 4 (10 points) (Prob. 3.38 of the textbook) The force-deflection data for a spring are tabulated below. Determine a least squares fit. Deflection, in. Force, lbf 0.10 9 0.20 19 0.30 22 0.40 40 0.50 52 0.60 59 Problem 5 (10 points) The following data points are expected to follow a functional form of b ax y = . Obtain the values of a and b by converting the functional form to a linear relationship between log(x) and log(y). x 1.21 1.35 2.40 2.75 4.50 5.10 7.1 8.1 y 1.20 1.82 5.00 8.80 19.5 32.5 55.0 80.0...
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