Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.10P
An equipment catalog boasts that a pressure transducer system comes in sVs-digit (e.g., 19.99) or 4*/2-digit (e.g., 19.999) displays. The ^/i-digit model costs substantially more. Both units are otherwise identical. The specifications list the uncertainties for three elemental errors:
Linearity error: Hysteresis error: Sensitivity error:
For a full-scale output (FSO) of 20 kPa, select a readout based on appropriate uncertainty calculations. Explain.
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2. Consider the voltmeter calibration data in Table 1. Plot the data using a suitable scale.
a) Specify the percent maximum hysteresis based on full-scale range.
b) Referring to increasing input calibration, determined the sensitivity and linearity errors.
Increasing input (mV)
Decreasing input (mV)
X
Y
Y
0.0
1.0
0.1
5.0
5.0
1.1
4.0
4.2
2.0
2.1
3.0
3.2
3.0
3.0
2.0
2.2
4.0
4.1
1.0
1.2
5.0
5.0
Table 1: Calibration results
0.0
0.2
A temperature measurement system has the following specifications:
-128 to 781°C
Range
Linearity error
0.29% FSO
Hysteresis error
0.12% FSO
Sensitivity error
0.04% FSO
Zero drift
0.32% FSO
FSO stands for "Full Scale Output". Estimate the overall instrument
uncertainty for this system based on the available information. Use the
maximum possible output range over the FSO in your computations.
1. A process manufacturing missile component parts is being controlled, with the
performance characteristic being the tensile strength in pounds per square inch. Samples
of size 4 each are taken every hour and 30 samples are reported as below:
30
30
30
45219.84, Σ-1Τι = 321.6, Σ
i= 1$i = 110.5
(a) Find trial control limits for X and R charts.
(b) Repeat part (a) for X and S charts.
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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