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 5.47P
The cooling of a thermometer (c.g., Exs. 3.3 and 3.4) can be modeled as a first-order system with T = e-,/T. If T can be measured to within 2% and time within 1 %, determine the uncertainty in t over the range 0 < T < 1.
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4. Referring to the property table below for saturated liquid, using linear interpolation to
determine the following values:
a. Pat T = 94°C
b. U at P = 0.4285 bar
C. vat U= 315.67 kJ/kg
Internal Energy,
Specific Volume,
v x 10
(m*/kg)
U
("C)
(bar)
(kJ/kg)
0.3858
1.0259
313.90
75
80
0.4739
1.0291
334.86
85
0.5783
1.0325
355.84
90
0.7014
1.0360
376.85
95
0.8455
1.0397
397.88
100
1.014
1.0435
418.94
4- A thermometer having a time constant of 0.4 min. is placed in a temperature bath and after the
thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly
with time at the rate of 2 deg.C min. what is the difference between the indicated temperature and
bath temperature after : (a) 2 min. (b) 20 min.
The following table lists temperatures and specific volumes of water vapor at two
pressures:
p = 1.0 MPa
p = 1.5 MPa
T (°C)
v(m³/kg)
T (°C)
v(m³/kg)
200
0.2060
200
0.1325
0.1483
0.1627
0.2275
240
280
240
280
0.2480
Data encountered in solving problems often do not fall exactly on the grid of values
provided by property tables, and linear interpolation between adjacent table entries
becomes necessary. Using the data provided here, estimate
i.
the specific volume at T = 240 °C, p = 1.25 MPa, in m³/kg
the temperature at p = 1.5 MPa, v = 0.1555 m³/kg, in °C
the specific volume at T = 220 °C, p = 1.4 MPa, in m³/kg
ii.
iii.
11.
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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