2 LBlock For both the tapemeasure and caliper measurements C

2. L-Block For both the tape-measure and caliper measurements: Calculate the mean dimensions of the part, and the uncertainty for each dimension with 95% a. probability (show your work). 10 b. Calculate the volume of the part, and the uncertainty for the volume with 95% probability Explain the difference between systematic and random errors. Estimate the size of systematic errors for both measurement devices, and discuss how to incorporate this information into a total estimate of the error (systematic plus random) in your measurements. c. d. Suppose this part is in production and 100,000 of them are needed. If the cost of aluminum is $O.85/in how much money would be wasted? Assume your measurements are the nominal size of the part Tolerances are ±0.005, on all dimensions. Assume all under tolerance parts are rejected (completely wasted. oversized parts use extra material. The distribution of error is normal with a standard deviation of 0.001\" per dimension. How many extra parts are needed to be made to reach the 100,000 acceptable parts? (show method and calculations)

Solution

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Random error is always present in a measurement. It is due to wrong interpretations of reading or unpredictable fluxuations in reading. Ex. Noise in an electronic circuit. Systematic errors are due instrument errors. They arise from damaged instrument,wrong use of the instrument etc..