All materials are elastic to some degree. It is desirable that certain parts of some designs compress when a load is applied to assist in making the part air- or watertight. The test results in the following table resulted from a test on a material known as Silon Q-177.
Pressure P (MPa) | Relative Compression R (%) |
0.1 | 15 |
0.2 | 17 |
0.3 | 18 |
0.4 | 19 |
0.5 | 20 |
0.6 | 21 |
0.7 | 22 |
0.8 | 23 |
0.9 | 24 |
1.0 | 25.5 |
1.1 | 27 |
1.2 | 28 |
1.3 | 29.7 |
1.4 | 31.2 |
1.5 | 32.8 |
2.0 | 42 |
2.5 | 54 |
3.0 | 70 |
(a) Plot the data on semilog paper.
(b) Using the method of least squares, find the equation of the line of best fit.
(c) Draw the line on the curve.
(d) Calculate the coefficient of correlation.
(e) What pressure should be applied to achieve a relative compression of 60%?
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