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HW1-S10Soln

# HW1-S10Soln - ME 365 Out Thursday HOMEWORK SET 1 Static...

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ME 365 HOMEWORK SET 1 Spring 2010 Out: Thursday, January 14 2010 Due: Thursday, January 21 2010 -1- Solve each problem on separate sets of sheets. Static Calibration Problem 1 (Determining Sensor Specs) A spring scale for weighing trucks is calibrated with standard weights. Its readings of deflection are accurate to a millimeter. The weights and corresponding spring deflections are recorded below: Weight (1000 kg) 1 5 10 15 20 25 30 35 40 45 50 55 Deflection (m) 0.05 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.13 0.13 (a) Plot the calibration data and draw a straight line through the linear portion of the curve. Write down the equation of this line. (b) Now calculate or write down: (i) Input range and span (ii) Output range and span (iii) Sensitivity (iv) Bias (v) Resolution of the system (vi) Maximum nonlinearity as a percentage of full scale deflection. Mark on the plot the position of the maximum nonlinearity. Solution: (a) Equation of straight line portion d=0.002w+0.04, with w in 1000kg and d in m 0 10 20 30 40 50 60 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 weight, 10 3 kg deflecton, m Max Nonlinearity

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ME 365
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