Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 6, Problem 6.6P

For the voltage-dividing circuit of Figure 6.14, develop and plot the family of solutions for loading error versus r = R1/(R1+ R2) as a function of (/?i + R.2)/Rm. Under what conditions will the loading error in measuring the open circuit potential Eo be less than 7% of the input voltage?

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The 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. thanks
A temperature measurement system is composed of a sensor and a readout device. The readout device has a claimed accuracy of 0.6 °C with a resolution of 0.1 °C. The sensor has an off-the-shelf limit of error of 0.5 °C. Estimate a design-stage uncertainty in the temperature indicated by this combination. 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 load cell is calibrated in an environment at a temperature of 21°C and has the following deflcction/load characteristic:  Load (kg)                     0          50        100      150      200 Deflection (mm)         0.0       1.0       2.0       3.0       4.0      When used in an environment at 35°C, its characteristic  changes to the following: Load (kg)                        0         50        100      150       200 Deflection (mm)         0.2       1.3       2.4       3.5       4.6 Determine the sensitivity at 21°C and 35°C. Calculate the total zero drift and sensitivity drift at 35°C. Hence determine the zero drift and sensitivity drift coefficients (in units of pm/°C and (pm per kg)/(°C)).

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Theory and Design for Mechanical Measurements

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