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 5.38P
A temperature measurement system is calibrated against a standard system certified to an uncertainty of ±0.05 °C at 95%. The system sensor is immersed alongside the standard within a temperature bath so that the two are separated by about 10 mm. The temperature uniformity of the bath is estimated at about 5 °C/m. The temperature system sensor is connected to a readout that indicates the temperature in terms of voltage. The following are measured values between the temperature indicated by the standard and the indicated voltage:
| r[°c] | £[mV] | T[°C] | £[tnV] |
| 0.1 | 0.004 | 40.5 | 1.624 |
| 10.2 | 0.399 | 51.2 | 2.147 |
| 19.5 | 0.771 | 99.6 | 4.121 |
- Compute the curve fit for T =f(E) and its standard random uncertainty.
- Estimate the uncertainty in using the output from the temperature measurement system for temperature measurements.
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A temperature measurement system has the following specifications:
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Hysteresis error
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FSO stands for "Full Scale Output". Estimate the overall instrument
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A thermostat control with dial markings from 0 to 100 is used to regulate the
temperature of an oil bath. A calibration plot on logarithmic coordinates of the temperature,
T (°F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0,
Ti =110.0 °F) and (R2 = 40.0, T2 = 250.0 °F).
(a) Derive an equation for T (°F) in terms of R.
(b) Estimate the thermostat setting needed to obtain a temperature of 320°F.
Q2/
A thermostat control with dial markings from 0 to 100 is used to regulate the
temperature of an oil bath. A calibration plot on logarithmic coordinates of the temperature,
T (°F), versus the dial setting, R, is a straight line that passes through the points (R1 = 20.0,
T1=110.0 °F) and (R2 = 40.0, T2 = 250.0 °F).
(a) Derive an equation for T (°F) in terms of R.
(b) Estimate the thermostat setting needed to obtain a temperature of 320°F.
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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