hw1soln - ME 365 Homework Set 1 Out August 25, 2011 Due...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 365 Homework Set 1 Out August 25, 2011 Due September 1, 2011 Problem No. 1 The displacement (surface roughness) of a machined surface is measured with an optical device. In this measurement system’s design criteria, it was specified that the displacement should be measurable to within 0.2 μ in. and further the output resolution was 1 mVolt. Three years after installation of the measurement system it is being calibrated against surface displacements measured with a standard instrument. Durring this calibration the data collected are shown in the table below. Displacement ( μ inches ) 0 5. 10. 15. 20. 25. 30. 35. 40. 45. 50. 55. Output ( mVolts ) 0 0 0 12.5 25.0 37.5 50.0 62.5 75.0 87.5 100 105 (a) Plot the calibration data and draw a straight line through the linear portion of the curve and determine the equation of this straight line. (b) Also calculate or determine: (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 (%fsd). Mark on the plot the position of the maximum nonlinearity. (c) Does the instrument still meet the original design specification? (d) In what range of input values should this measurement system be use? Why? Solution: Start by making plot of calibration data:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ME 3 The e Outp (b) (c) The i resol Output (mVolts) 365 equation of put (mVolt) i. in th ii. ou th iii. se iv. bi v. re (s vi. m 1 0 instrument lution is 0.4 -40 -20 0 20 40 60 80 100 120 0 p( ) Cali the “straigh = -25 +2.5*D put range is hese two val utput range hese two val ensitivity is as is the “y” esolution of ensitivity) = aximum no 00*25/100 does not m 4 micro inch 10 2 Di ibration
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/26/2011 for the course ME 365 taught by Professor Merkle during the Fall '07 term at Purdue University-West Lafayette.

Page1 / 7

hw1soln - ME 365 Homework Set 1 Out August 25, 2011 Due...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online