We need to calibrate a diaphragm for a pressure transducer. For this, we subject the diaphragm to some known pressure differentials (DP) and we measure the deflection at the center (yc) with a micrometer. These measurements are shown on the table below. yc (µm) 0 79.8 159.2 240.1 320.2 DP (MPa) 0 5 10 15 20 a) Find the best linear fit to the measured data in terms of DP as a function of yc. That is, DP in the y-axis and yc in the x-axis. This will be your calibration equation/curve. No need to convert units. b) Find the uncertainty of this fit for a 95% probability.
We need to calibrate a diaphragm for a pressure transducer. For this, we subject the diaphragm to some known pressure differentials (DP) and we measure the deflection at the center (yc) with a micrometer. These measurements are shown on the table below. yc (µm) 0 79.8 159.2 240.1 320.2 DP (MPa) 0 5 10 15 20 a) Find the best linear fit to the measured data in terms of DP as a function of yc. That is, DP in the y-axis and yc in the x-axis. This will be your calibration equation/curve. No need to convert units. b) Find the uncertainty of this fit for a 95% probability.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We need to calibrate a diaphragm for a pressure transducer. For this, we subject the diaphragm to some known pressure differentials (DP) and we measure the deflection at the center (yc) with a micrometer. These measurements are shown on the table below.
yc (µm) 0 79.8 159.2 240.1 320.2
DP (MPa) 0 5 10 15 20
a) Find the best linear fit to the measured data in terms of DP as a
b) Find the uncertainty of this fit for a 95% probability.
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