Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 1, Problem 1.22P
The sale of motor fuel is an essential business in the global economy. Federal (U.S.) law requires the quantity of fuel delivered at a retail establishment to be accurate to within 0.5%. (i) Determine the maximum allowable error in the delivery of 25 gallons (or use 95 L). (b) Provide an estimate of the potential costs to a consumer at the maximum allowable error over 150,000 miles (240,000 km) based on an average fuel mileage of 30.2 mpg (7.8L/100km). (c) As a knowledgeable consumer, cite one or two ways for you to identify an inaccurate pump.
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(a) A very important component of a system has a mean time between failures of 100 hr and a mean time to repair of 10 hr. Determine the inherent availability of the system.
(b) If the equipment in Q7 (c i) above is required to meet an inherent availability requirement of 0.985 and a mean time between failures of 100 hr. Calculate the permissible mean time to repair and if the system as a mean of the time intervals between corrective maintenance actions of 900 hrs and the sum of the mean corrective maintenance time intervals including supply downtime and administrative down time of 10 hrs Determine the operational availability of the system
Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take o7 boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 07 samples are 14.6,16.5,18.1,13.2,16,15.9, and 14.8 respectively. Likewise, the range values for the each of 07 samples are o.7,0.5, 0.4,0.2,0.4,0.5, and o.9 respectively. Ebr the X-bar charts and R-charts, the Parameters, A2, D3 and D4 are respectively.
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel
Note that the standard normal curve is symmetrical about the mean.
z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
1
0.95
0.96
0.97
0.98
0.99
1.01
1.02
1.03
1.04
1.05
Mean - 0
1.06
1.07
1.08
1.09
A
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0398
0.0438
0.0478
A
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
Z
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
0.22
0.23
0.24
0.25
1.12
1.13
1.14
1.15
1.16
1.17
A
z
0.0517
0.0557
0.26
0.27
0.28
0.29
0.0596
0.0636
0.0675 0.3
0.0714 0.31
0.0753 0.32
0.0793 0.33
0.0832 0.34
0.0871 0.35
0.0910
0.0948
0.0987
1.18
1.19
1.2
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
A
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.36
0.3830
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.37…
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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