Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 1.19P
Suggest an approach or approaches to estimate the linearity error and the hysteresis error of a measurement system.
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Students have asked these similar questions
A temperature measurement system has the following specifications:
-128 to 781°C
Range
Linearity error
0.29% FSO
Hysteresis error
0.12% FSO
Sensitivity error
0.04% FSO
Zero drift
0.32% FSO
FSO stands for "Full Scale Output". Estimate the overall instrument
uncertainty for this system based on the available information. Use the
maximum possible output range over the FSO in your computations.
3. A consumer product company is formulating a new shampoo and is interested in foam
height (in millimeters). Foam height is approximately normally distributed and has a
standard deviation, 6, of 10 millimeters. The company wishes to test the following
hypotheses using the results of n=25 samples:
Ho: μ = 160, Ηi: μ < 160
The critical region to reject the null hypothesis is X < 155
%3D
(a) Find the type I error probability a.
(b) Find the probability of type II error if the true mean form height is 159 millimeters.
Q. Based on the calibration curves, find out the respective sensitivities of the
displacement measurement.
1.
Strain (UE)
Strain (UE)
0.01
0.00
-0.01
-0.02
-0.03
-0.04
0.0
0.01
0.00
-0.01
-0.02
0
-0.03
-0.0003-0.0009
-0.04
Strain vs. Displacement (Pushing)
-0.0369*x + -3.1E-03 R² = 0.984
0.0
0:0063
-0.011
0.1 0.2 0.3
-0.0152
-0.0049
0.1 0.2
-0.0088
-0.0195
0.3
Strain vs. Displacement (Releasing)
-0.0378*x + 2.16E-03 R² = 0.991
-0.0231
-0.0265
-0.0124
-0.0163-
0.4 0.5 0.6 0.7 0.8 0.9 1.0
Displacement (in)
-0.02
-0.0298
0.4 0.5 0.6
Displacement (in)
-0.0325
-0.0235
0.7
-0.0272
-0.0352
0.8
-0.0379
-0.0318
-0.0379
0.9 1.0
Chapter 1 Solutions
Theory and Design for Mechanical Measurements
Ch. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Discuss how the resolution of the display scale of...Ch. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10P
Ch. 1 - State the purpose of using randomization methods...Ch. 1 - Provide an example of repetition and replication...Ch. 1 - Develop a test plan that might be used to estimate...Ch. 1 - Develop a test plan that might be used to evaluate...Ch. 1 - A race engine shop has just completed two engines...Ch. 1 - A thermodynamics model assumes that a particular...Ch. 1 - Regarding the Mars Climate Orbiter spacecraft...Ch. 1 - A large batch of carefully made machine shafts can...Ch. 1 - Suggest an approach or approaches to estimate the...Ch. 1 - Suggest a test matrix to evaluate the wear...Ch. 1 - Figure 1.15 Orifice flow meter setup used for...Ch. 1 - The sale of motor fuel is an essential business in...Ch. 1 - Using either the ASME 19.5 or ISO 5167 test...Ch. 1 - A simple thermocouple circuit is formed using two...Ch. 1 - 1.25 A linear variable displacement transducer...Ch. 1 - For the LVDT calibration of the previous problem,...Ch. 1 - A manufacturer wants to quantify the expected...Ch. 1 - Prob. 1.28PCh. 1 - As described in a preceding problem, the...Ch. 1 - Light gates may be used to measure the speed of...Ch. 1 - You estimate your car’s fuel use by recording...Ch. 1 - When discussing concomitant methods, we used the...Ch. 1 - Prob. 1.33PCh. 1 - For the strain gauge calibration of the previous...Ch. 1 - The acceleration of a cart down a plane inclined...Ch. 1 - In general, what is meant by the term “standard”?...Ch. 1 - A common scenario: An engineer has two pencil-...Ch. 1 - Explain the potential differences in the following...Ch. 1 - Research the following test standards and codes....Ch. 1 - A hotel chain based in the United States contracts...Ch. 1 - Test code ASTM 558-13 allows for the comparison of...Ch. 1 - Suggest a reasonable number of significant digits...Ch. 1 - Using spreadsheet software (such as Microsoft...Ch. 1 - Prob. 1.44PCh. 1 - Round the following numbers to 3 significant...Ch. 1 - Express the result, rounding to an appropriate num...Ch. 1 - Express the result by rounding to an appropriate...Ch. 1 - A car’s speed is determined by the time it takes...Ch. 1 - How much error could you tolerate in (1) book...Ch. 1 - Apply the guidelines to determine the number of...Ch. 1 - Using a tape measure having 1 mm graduations, the...Ch. 1 - Show how the following functions can be...Ch. 1 - Prob. 1.53PCh. 1 - For the calibration data of Table 1.5, determine...Ch. 1 - Prob. 1.55PCh. 1 - Each of the following equations can be represented...Ch. 1 - Plot y = 10e“° 5x volts on in semilog format (use...Ch. 1 - Prob. 1.58PCh. 1 - Prob. 1.59P
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