2. Required Reading and References Figliola & Beasley sections 1.1-1.5,4.1-4.4,4

Question

2. Required Reading and References Figliola & Beasley sections 1.1-1.5,4.1-4.4,4.7,5.1-5.5, 5.8 3. Pre-Lab Activities Use your logbook to compute and record your answers to the following questions. Be prepared to show your calculations and answers to the TA at the beginning of the lab session. 1. Read through this manual carefully and familiarize yourself with the procedures. Become familiar with the specifications and guidelines for the measurement instruments and gage blocks in Appendices A and B. If there is anything you don't understand, make a note of it in your logbook, and ask the instructor at the beginning of the lab. 2. The thickness of a gage block is measured five times using an instrument that has a resolution of 0.001 cm. The following measurements are obtained (in cm): 1.100, 1.110, 1.090, 1.095, and 1.105. The SAmbrose University true gauge block thickness is known to be 1.050 cm. Use this information to answer the following questions: a. What errors or sources of measurement error can be identified in the example? (Hint: there are three). Identify each one as a random or systematic uncertainty. b. Estimate the magnitudes of each of these uncertainties. Wherever possible, estimate random uncertainties at a 95% probability/confidence level. c. Based on the uncertainties determined in part b, estimate the overall uncertainty of a measurement obtained by this instrument.

Explanation / Answer

a) GROSS ERROR : these are the error obtained careless reading or mistakes done on the recording etc. (random error)

       SYSTEMATIC ERROR the error include calibration error,error due to contact pressure ,these error can result from the bad procedure that are consistent in action

ALLIGNMENT ERROR : these are the error occured due to the bad or miss alignment(abbes principle of allignment)(random error)

DIRT ERROR :the error is due to the dirt present in between the gauges( random error)

b ) Error or uncertainty = reading obtained –true value

Errors =1.100-1.050 =0.050

                 1.110-1.050=0.06

                1.090-1.050=0.04

                 1.095-1.050=0.045

                 1.105 -1.050 =0.055

c ) Overall uncertainity=total uncertainty /nos =(0.050+0.06+0.04+0.045+0.055)/5 =0.0511

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