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 9.45P
A laser Doppler anemometer setup in a dual-beam mode uses a 600-mm focal length lens (0 = 5.5 degrees) and an argon-ion laser (X = 514.4 nm). Compute the Doppler shift frequency, fD, expected at 1, 10, and 100 m/s. Repeat for a 300-mm lens (0 = 7.3 degrees).
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A displacement transducer has the following specifications:
Linearity error: ±0.25% reading
Drift: ±0.05%/°C reading
Sensitivity error: ±0.25% reading
Excitation: 10-25 V dc
Output: 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence.
The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield
X= 17.20mm
Sx= 1.70mm
Determine a best estimate for the mass displacement at 95% probability based on all available information.
A displacement transducer has the following specifications:
Linearity error: ±0.25% reading
Drift: ±0.05%/°C reading
Sensitivity error: ±0.25% reading
Excitation: 10-25 V dc
Output: 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence.
The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield
Determine a best estimate for the mass displacement at 95% probability based on all available information.
A displacement transducer has the following specifications:
Linearity error:±0.25% reading
Drift:±0.05%/°C reading
Sensitivity error: ±0.25% reading
Excitation: 10-25 V
Output: dc 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltme- ter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.
Chapter 9 Solutions
Theory and Design for Mechanical Measurements
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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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