Refer to Exercise 12 in Section 3.2. Assume that
= 50 ± 1 MPa,w = 1.2 ± 0.1 mm, and k = 0.29 ±0.05
.
a. Estimate ?, and find the uncertainty in the estimate.
b. Which would provide the greatest reduction in the uncertainty in : reducing the uncertainty in ?0 to 0.1 MPa, reducing the uncertainty in w to 0.01 mm, or reducing the uncertainty in k to 0.025
?
c. A new, somewhat more expensive process would allow both and w to be measured with negligible uncertainty. Is it worthwhile to implement the process? Explain.
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