Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781119126317
Author: Richard S. Figliola; Donald E. Beasley
Publisher: Wiley Global Education US
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Chapter 8, Problem 8.27P

A J-type thermocouple is calibrated against an RTD standard within ±0.01 °C (95%) between 0 °C and 200 °C. The output voltage is measured with a voltmeter having 0.001 mV resolution and less than 0.015 mV (95%) systematic uncertainty. The reference junction temperature is 0 °C. The calibration procedure yields the following results:

7rtd (°C) 0.00 20.50 40.00 60.43 80.25 100.65 emf(mV) 0.010 1.038 2.096 3.207 4.231 5.336

  1. Determine a polynomial to describe the relation between the temperature and thermocouple voltage.
  2. Estimate the uncertainty in temperature using this thermocouple and voltmeter.
  3. Suppose the thermocouple is connected to a digital temperature indicator having a resolution of 0.1 °C with 0.3 °C (95%) systematic uncertainty. Estimate the uncertainty in indicated temperature.

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Chapter 8 Solutions

Theory and Design for Mechanical Measurements

Ch. 8 - 8.11 A thermistor is placed in a 100 °C...Ch. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - The thermocouple circuit in Figure 8.45 represents...Ch. 8 - The thermocouple circuit in Figure 8.45 represents...Ch. 8 - The thermocouple circuit in Figure 8.45 is...Ch. 8 - 8.17 a. The thermocouple shown in Figure 8.46a...Ch. 8 - Prob. 8.18PCh. 8 - Prob. 8.19PCh. 8 - A temperature measurement requires an uncertainty...Ch. 8 - A temperature difference of 3.0 °C is measured...Ch. 8 - Complete the following table for a J-type...Ch. 8 - Complete the following table for a T-type...Ch. 8 - Prob. 8.24PCh. 8 - 8.25 You are employed as a heating, ventilating,...Ch. 8 - A J-type thermocouple for use at temperatures...Ch. 8 - A J-type thermocouple is calibrated against an RTD...Ch. 8 - A beaded thermocouple is placed in a duct in a...Ch. 8 - Consider a welded thermocouple bead that...Ch. 8 - Prob. 8.30PCh. 8 - Prob. 8.31PCh. 8 - Consider the typical construction of a sheathed...Ch. 8 - An iron-constantan thermocouple is placed in a...Ch. 8 - Figure 8.48 Schematic diagram for Problems 8.33,...Ch. 8 - Figure 8.48 Schematic diagram for Problems 8.33,...Ch. 8 - 8.36 In Example 8.5, an uncertainty value for Rf...Ch. 8 - The thermocouple circuit shown in Figure 8.49...Ch. 8 - Prob. 8.38PCh. 8 - 8.39 A thin-film heat flux sensor employs a K-type...Ch. 8 - A thin-film heat flux sensor has a sensitivity uV...Ch. 8 - 8.41 A T-type thermopile is used to measure...Ch. 8 - 8.42 A T-type thermocouple referenced to 0 °C is...Ch. 8 - A T-type thermocouple referenced to 0 °C develops...Ch. 8 - 8.44 A temperature measurement system consists of...
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