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 9.14P
Estimate the sensitivity (pF/mm) of a capacitance transducer, such as in Figure 9.13, using water as the dielectric medium. The transducer plates have an overlap area of 8.1 ± 0.01 mm2 with an average gap separation of 1 mm.
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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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- Consider a measuring system consisting of a transducer, amplifier and a recorder, with sensitivity for each equipment given below: Transducer sensitivity 0.2 mV/°C Amplifier gain 2.0 V/mV Recorder sensitivity 5.0 mm/V .Calculate the total sensitivity of the measuring system.arrow_forwardA pressure measurement system is stated as having the followingcharacteristics. Explain the significance of the terms:Range: 0 to 125 kPa and 0 to 2500 kPaAccuracy: ±1% of the displayed readingTemperature sensitivity: ±1% of the reading per o Carrow_forwardThe temperature of a fluid is measured by immersing a type K thermocouple in it. The reference junction of the thermocouple is maintained at 0 °C in an ice bath and an output e.m.f. of 9.435 mV is measured, provided sensitivity of K thermocouple is 41 ⴏV/ °C. What is the indicated fluid temperature in K ?arrow_forward
- 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.arrow_forwardA 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_forwardA 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.arrow_forward
- Derive the characteristic equation of an accelerometer then show how can be used as a seismometer.arrow_forwardA special instrument that will accommodate type E thermocouples operating over the range of -150 to 100°C is going to be designed. At some stage of design, the sensitivity at 0°C is needed. What is the sensitivity of the thermocouple at 0°C?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
- If q is the notch sensitivity and the fatigue stress concentration factor is Kf, then the theoretical stress concentration factor kt is calculated using the equation:arrow_forwardThe output of a potentiometer is to be read by a recorder of 10,000 ohms input resistance. Nonlinearity must be held to 1 percent. A family of potentiometers having a thermal rating of 5 watts and resistances ranging from 100 to 10,000 ohms in 100- ohm steps is available. Choose from this family the potentiometer that has the greatest possible sensitivity and also meets the other requirements. What is this sensitivity if the potentiometers are single-turn (360°) units?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. 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
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