Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 1, Problem 1.25P
1.25 A linear variable displacement transducer (LVDT) senses displacement and indicates a voltage output that is linear to the input. Figure 1.16 shows an LVDT setup used for static calibration. It uses a micrometer to apply the known displacement and a voltmeter for the output. A well-defined voltage powers the transducer. What are the independent and dependent variables in this calibration? Would these change in practical use?
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We wish to measure a characteristic of a machined part whose nominal size is 50 mm at 20 °C. For this, two different instruments are used; an analog micrometer and a digital vernier caliper, both recently calibrated and with the same resolution (0.01 mm). The calibration certificate data of the analog micrometer and the digital vernier are shown in tables 5 and 6 respectively. In both cases the calibration uncertainty does not include the contribution of resolution uncertainty. Additionally, there are drift studies for both instruments and it is established that the drift of the micrometer is ± 0.002 mm while the drift of the vernier is ± 0.02 mm.
The same number of measurements were performed with both instruments to avoid repeatability biases under controlled environmental conditions. Table 7 shows the results of the measurements of both instruments. The temperature of the piece was monitored with a digital thermometer whose calibration uncertainty is 0.1 °C, which already includes…
Record the dimensions of the known (calibration) block using the caliper and dial gauge on the table below. Indicate the
units of each measurement. Calculate the average length of each side of the block.
Dimension
Caliper (Units)
0.995
1.455
0.985
Ruler(in) A: 0.9
B: 1.5
C: 0.9
A
B
C
Dimension
A
B
Instrument
Use the average dimensions (see Problem 2a) of the known block to calibrate the LVDT at your workstation. Record the
voltage on the table below:
LVDT Offset: 0.556 (Do not include the offset value in your average dimensions)
C
Ave Dimension (Units)
(Dial Gauge)
0.997
1.659
0.949
0.964 in
1.538 in
0.945 in
oltage
Average Dimension
1.244 volt
1.994
1.28
0.964 in
1.538 in
0.945 in
A thermocouple is used to
measure the temperature T1. The
thermocouple reference junction
labeled 2 is at a temperature of
20°C. The voltage output is
measured using a potentiometer
and found to be 4.686 mV. What
is T1 in degrees
RK: if the temperature values are
not in the table, you have to use
interpolation.
Select one:
O a. 98
O b. 118
O c. 105
O d. 108
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Chapter 1 Solutions
Theory and Design for Mechanical Measurements
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