Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Textbook Question
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.
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
A displacement transducer has the following specifications:
Linearity error:±0.25% reading
Drift:±0.05%/°C reading
Sensitivity error: ±0.25% reading
Excitation: 10-25 V
Output: dc 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltme- ter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.
A displacement transducer has the following specifications:
Linearity error: ±0.25% reading
Drift: ±0.05%/°C reading
Sensitivity error: ±0.25% reading
Excitation: 10-25 V dc
Output: 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence.
The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield
Determine a best estimate for the mass displacement at 95% probability based on all available information.
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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