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ME3023_Hw2

# ME3023_Hw2 - through the given data points USE...

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ME 3023 Measurements in Mechanical Systems Homework # 2 Fall 2010 Important Note: Solve the following problems on one side of the Engineering graph paper. Please write all the intermediate steps for partial credit. Start each problem on the separate sheet if you utilize more than half of the paper. Due Date: In class on November 15, 2010 (Monday) 1. (30 points) The following have been taken for the calibration of an LVDT. Using a least- squares ﬁt, calculate the calibration constant (V/in.) for a linear calibration curve, the maximum error, and the mean deviation of the measurements. Displacement (cm) Output (V) 0.00 0.10 1.25 0.65 2.50 1.32 3.75 1.95 5.00 2.70 Submit the following 1. Hand calculations (a) Determine the best-ﬁt straight line using linear regression. (b) Find coeﬃcient of determination R 2 for the best-ﬁt curve. 2. Using MATLAB (a) Use MATLAB to calculate slope and y-intercept of the best-ﬁt line passing
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Unformatted text preview: through the given data points. USE “polyﬁt” command. (b) submit (print and attach) your MATLAB code and MATLAB ﬁgure showing data points (Circles) and the best-ﬁt line. 3. Using EXCEL (a) Use Excel to calculate slope and y-intercept of the best-ﬁt line passing through the given data points. Use “add trendline” feature in EXCEL. (b) submit (print and attach) your EXCEL chart with the equation and R 2 value printed on it. 2. (10 points) To measure a speed of a variable-speed motor, a standard hexagonal nut is ﬁtted on its shaft to drive a magnetic pick-up. The output on an oscilloscope screen shows 20 positive peaks in four divisions. The scope setting is 0.5 s/div. Calculate the shaft speed in rpm....
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