Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 3, Problem 3.29P
An application demands that a sinusoidal pressure variation of 250 Hz be measured with no more
than 2% dynamic error. In selecting a suitable pressure transducer from a vendor catalog, you note that a desirable line of transducers has a fixed natural frequency of 600 Hz but that you have a choice of transducer damping ratios of between 0.5 and 1.5 in increments of 0.05. Select a suitable transducer.
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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 ratio is between the following
values
Select one:
a. 0.707 and 0.807
b. 0.5215 and 0.5625
c. 0.631 and 0.692
d. 0.2356 and 0.5625
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.
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.
Chapter 3 Solutions
Theory and Design for Mechanical Measurements
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - A thermal sensor having a time constant of 1 s is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - A signal of frequency l/rc Hz is passed through a...Ch. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - An application demands that a sinusoidal pressure...Ch. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - A measuring system has a frequency response...Ch. 3 - Prob. 3.42PCh. 3 - A catheter is inserted into the vena cava of an...Ch. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - The displacement of a rail vehicle chassis as il...Ch. 3 - The amplitude spectrum of the time-varying...Ch. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - A camera flash light is driven by the energy...Ch. 3 - Run program Temperature Response.vi. The program...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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.arrow_forwardr:09 moodle1.du.edu.om 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 ratio is between the following values Select one: O a. 0.707 and 0.807 O b. 0.631 and 0.692 c. 0.2356 and 0.5625 d. 0.5215 and 0.5625 Previous page Next page 1 Assignmen IIarrow_forwardFor the calibration data given in Table Q2(c), plot the calibration curve using suitable axes. Estimate the static sensitivity of the system at the midrange.arrow_forward
- 3. The results of a simple calibration of pressure transducer and its specification are shown in Figure 1 and Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.51x +0.02 . a) Calculate the hysteresis and linearity errors for this calibration. b) Please discuss either the pressure transducer can now be used for the actual measurement or not. Table 1: Pressure tansducer specification Оperation Input range 0- 5 kPa + 15 V 0 - 2.5 V Excitation Output range Performance Linearity error ± 3 % Hysteresis Less than + 15% Sensitivity error + 5% Thermal sensitivity error + 0.02% / °C Temperature range 0 - 50 °C 2.5 upacale mesurement downscale measurement 0.5 0.5 3.5 pressure, kPa Оприt, voltage ((V) Upscale Input, pressure (kPa) Downscale 0.00 0.00 1 0.53 0.48 2 1.05 0.94 3 1.62 1.45 4 2.12 1.95 5 2.50 2.50 Figure 1: Calibration results (plot and tabulated data)arrow_forwardA seismic transducer with natural frequency 750 rad/s and damping ratio 0.7 is used to measure acceleration. The input to the sensor is a sinusoidal displacement with amplitude 1 x 10 m and fundamental frequency 100 Hz. The resulting steady-state acceleration measurement is a sinusoid. What is its amplitude (in m/s?)?arrow_forwardexplain the significance of the following information given in the specification of transducers: Thermocouple Sensitivity: nickel chromium-nickel aluminium thermo-couple: 0.039 inV/°Carrow_forward
- 2. Consider the voltmeter calibration data in Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.9829 x + 0.1095 . Plot the data using a suitable scale. a) Specify the percent maximum hysteresis based on full-scale range. b) Referring to increasing input calibration, determined the sensitivity and linearity errors. Increasing input (mV) Decreasing input (mV) Y Y 0.0 0.1 5.0 5.0 1.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 0.0 0.2 Table 1: Calibration resultsarrow_forwardIf the maximum amplitude of a building vibration is 50 um at a frequency of Hz, what is the lowest resonant frequency that a control component in a scanning probe microscopy could have so as to be deflected by no more than 0.05 nm by the building vibrations. 0.5arrow_forwardThe transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure. How do I calculate the sensitivity error? The solution that was given: Sensitivity error(eK) = (±0.0025)(500 cm H2O)= ± 0.75 cm H2O = ± 0.00375 V My Question is, how do you obtain 0.75 since 0.0025 x 500 gives 1.25! please help. thanksarrow_forward
- A special sensor is designed to sense the percent vapor present in a liquid vapor mixture. If during a static calibration the sensor indicates 80 units when in contact with 100% liquid,0 units with 100% vapor ,and 40units with a 50:50% mixture,determine the static sensitivity of the sensorarrow_forwardExperiments are repeated and two separate acceleration peaks separated with the damped vibration period are found as 0.53 g and 0.28 g, respectively where g is the gravitational acceleration. The uncertainty with the acceleration measurement is found to be 0.03 g from the manufacturer manual. We would like to report the damping ratio. What is the mean value of the damping ratio and uncertainty in the damping ratio calculation.?arrow_forwardThe transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure refering to the solution provided online, Sensitivity error(eK) = (±0.0025)(500 cm H2O)= ± 0.75 cm H2O = ± 0.00375 V how do you get 0.75?? shoud it not be 1.25? according the answer, for sensitivityarrow_forward
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