Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 9, Problem 9.19P
Estimate the differential pressure limit for a 0.5-mm-thick, 25-mm-diameter steel diaphragm pressure transducer. vp= 0.32, Em = 200 GPa.
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Example 8.8
Figure 8.11 shows the arrangement of differential bellows to measure absolute pressure. Each
bellows has a natural length of 40 cm, an effective area of 1000 mm2 and stiffness of 1 N/mm.
Bellows A is evacuated and contains a spring S of stiffness 3 N/mm.
B
Find the displacement of the output point C for a change of 12 kN/mm? in the applied
pressure p.
An application demands that sinusoidal pressure variation
of 250 Hz be measured with no more than 2% dynamic
error. In selecting a suitable pressure transducer from
vendor catalog, you note that a desirable line of
transducer has a fixed natural frequency of 500 Hz but
that you have a choice of transducer damping ratio of
between 0.5 and 1.5 in increments of 0.05. select a
suitable transducer.
The value of damping that can be chosen from the
catalog
Select one:
a. 0.65
b. 0.35
O c. 0.55
d. 0.75
A plastic tube of inner diameter 5 mm and length 0.5 m is connected between the
Pitot tube and the pressure transducer. The volume of the transducer is 4x10-4 m³.
What is the transfer function of the measurement?
Clearly state any assumptions made.
Chapter 9 Solutions
Theory and Design for Mechanical Measurements
Ch. 9 - Prob. 9.1PCh. 9 - 9.2 State the following pressures as absolute...Ch. 9 - A water-filled manometer is used to measure the...Ch. 9 - Prob. 9.4PCh. 9 - 9.5 The pressure differential across an orifice...Ch. 9 - Show that the static sensitivity of an inclined...Ch. 9 - Prob. 9.7PCh. 9 - Show that the instrument (systematic) uncertainty...Ch. 9 - A strain gauge, diaphragm pressure transducer...Ch. 9 - Select a practical fluid to use in a manometer to...
Ch. 9 - An air pressure over the 200- to 400-N/m2 range is...Ch. 9 - Calculate the design-stage uncertainty in...Ch. 9 - The pressure drop across a valve through which air...Ch. 9 - Estimate the sensitivity (pF/mm) of a capacitance...Ch. 9 - A diaphragm pressure transducer is calibrated...Ch. 9 - A diaphragm pressure transducer is coupled with a...Ch. 9 - Prob. 9.17PCh. 9 - A 2.0 mm thick circular steel diaphragm (Em = 200...Ch. 9 - Estimate the differential pressure limit for a...Ch. 9 - The pressure fluctuations in a pipe filled with...Ch. 9 - What is the sensitivity of a pitot-static tube...Ch. 9 - A pitot-static pressure probe inserted within a...Ch. 9 - A tall pitot-static tube is mounted through and...Ch. 9 - The pressure transmission line response equation...Ch. 9 - Prob. 9.26PCh. 9 - Prob. 9.28PCh. 9 - Compare the inertance of water in a 0.2-m-long...Ch. 9 - The output from a resting healthy human adult...Ch. 9 - Prob. 9.31PCh. 9 - A pressure drop of 213 Pa is measured between two...Ch. 9 - Wall pressure taps (e.g., Figs. 9.19 and 9.21) are...Ch. 9 - Prob. 9.34PCh. 9 - Prob. 9.35PCh. 9 - Determine the resolution of a manometer required...Ch. 9 - A long cylinder is placed into a wind tunnel and...Ch. 9 - Prob. 9.38PCh. 9 - Prob. 9.39PCh. 9 - What is the sound pressure in pascals if the...Ch. 9 - A 6-mm-diameter pitot-static tube is used as a...Ch. 9 - For the thermal anemometer in Figures 9.31 and...Ch. 9 - Determine the static sensitivity of the output...Ch. 9 - A laser Doppler anemometer setup in a dual-beam...Ch. 9 - A set of 5,000 measurements of velocity at a point...Ch. 9 - Aircraft airspeed is measured using a pitot...
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