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 5.36P
A pressure measuring system outputs a voltage that is proportional to pressure. It is calibrated against a transducer standard (certified error: within ±0.5 psi) over its 0-100-psi range with the results given below. The voltage is measured with a voltmeter (instrument error: within ±10 pV; resolution: 1 pV). The engineer intending to use this system estimates that installation effects can cause the indicated pressure to be off by another ±0.5 psi. Estimate the expanded uncertainty at 95% confidence in using the system based on the known information.
£lmVJ: 0.(X)4 0.399 0.771 1.624 2.147 4.121
p[psi]: 0.1 10.2 19.5 40.5 51.2 99.6
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The transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure refering to the solution provided online,
Sensitivity error(eK)
= (±0.0025)(500 cm H2O)= ± 0.75 cm H2O
= ± 0.00375 V
how do you get 0.75?? shoud it not be 1.25?
according the answer, for sensitivity
The transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure.
How do I calculate the sensitivity error?
The solution that was given:
Sensitivity error(eK)
= (±0.0025)(500 cm H2O)= ± 0.75 cm H2O
= ± 0.00375 V
My Question is, how do you obtain 0.75 since 0.0025 x 500 gives 1.25!
please help. thanks
2. Consider the voltmeter calibration data in Table 1. The sensitivity of the pressure
sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale
calibration is given as y = 0.9829 x + 0.1095 . 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)
Y
Y
0.0
0.1
5.0
5.0
1.0
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
0.0
0.2
Table 1: Calibration results
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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