Engineering Instrumentation and Measurement Experiments
Engineering Instrumentation and Measurement Experiments
Engineering Instrumentation and Measurement Experiments
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Experiment No. 2 Calibration of a Electronic Load Cell <strong>and</strong> a Bourdon Tube-Type Pressure Gage<br />
5.3 Sample Calculation<br />
The sample calculations are implicitly expressed in the calculated tabular data above <strong>and</strong> background<br />
theory discussion. The calculations for Bourdon Gage linear coefficient are show below<br />
Table 3: Curve Fit Calculation for Bourdon Gage<br />
Xi Yi Error load Error 2 Xi × Y i X 2 i<br />
0 0 36 1324 0 0<br />
100 125 -42 1731 12500 10000<br />
300 555 -18 309 166500 90000<br />
500 990 11 131 495000 250000<br />
700 1400 15 239 980000 490000<br />
1200 2400 1 0 2880000 1440000<br />
1700<br />
� �<br />
3410<br />
�<br />
-4<br />
�<br />
20<br />
�<br />
5797000<br />
�<br />
2890000<br />
4500 8880 0 3753.7 10331000 5170000<br />
The intercept can be calculated as follows, using summation values from table 3<br />
a0 = XiXi × Yi − Yi × X 2 i<br />
XiXi − 7X 2 i<br />
= 4500 × 10331000 − 8880 × 5170000<br />
4500 2 − 7 × 5170000<br />
The slope can be calculated as follows, using summation values from table 3<br />
a1 = XiYi − 7Xi × Yi<br />
XiXi − 7X 2 i<br />
= 4500 × 8880 − 7 × 10331000<br />
4500 2 − 7 × 5170000<br />
9<br />
= −36.3802<br />
= 2.0299
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