A gauge block of 0.0280”, 0.1000”, 0.2500, 0.5000” and 1.0000” is used to calibrate a Vernier...

A gauge block of 0.0280”, 0.1000”, 0.2500, 0.5000” and 1.0000” is used to calibrate a Vernier Caliper. The Vernier caliper reads, 0.0280”, 0.0995”, 0.2505”, 0.5000” and 0.9995”. What is the Standard deviation? What is the measurements uncertainty? Explain your answer. Coverage Factor of K = 2.

Solutions

Expert Solution

The True values, measured values and the error in measurements (true value - measured value) are,

True Value	Measue Value	Error
0.028	0.028	0
0.1	0.0995	0.0005
0.25	0.2505	0.0005
0.5	0.5	0.000
1	0.9995	0.0005

Note: The error terms always reads positive for calculation of uncertainity

The mean of errors is,

The standard deviation is,

The uncertainity in measurement can be define by standard deviation of error term which is called standard uncertainity or uncertainity at standard deviation. For one standard deviation 68% error term will fall in the range of uncertainity,

orchestra answered 1 year ago

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