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 5, Problem 5.4P
A tachometer has an analog display dial graduated in 5-revolutions-per-minute (rpm) increments. The user manual states an accuracy of I % of reading. Estimate the design-stage uncertainty in the reading at 50, 500, and 5,000 rpm.
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5) A pressure gauge which has a linear calibration curve has a radius of scale line as 120
mm and pressure of 0 to 50 Pascal is displayed over an arc of 300°. Determine the
sensitivity of the gauge as a ratio of scale length to pressure.
A 772 range voltmeter is having an accuracy of + 0.11% of FSD. Calculate the following for the given M1 =677
volt and M2=732 volt.
(i) Range of acceptable measurement values .
(ii) % of error for a measurement .
Аccuracy-
For M1 reading :
Maximum Acceptable Value =
Minimum Acceptable value =
% Error =
For M2 Reading :
Minimum Acceptable value =
Maximum Acceptable Value
% of Error =
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)
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
Ch. 5 - Prob. 5.1PCh. 5 - Explain what is meant by the terms “true value,"...Ch. 5 - SJ An official Olympics timekeeper once stated,...Ch. 5 - A tachometer has an analog display dial graduated...Ch. 5 - An automobile speedometer is graduated in 5-mph...Ch. 5 - An engineer reads the height of a mercury...Ch. 5 - Prob. 5.8PCh. 5 - Two resistors arc to be combined to form an...Ch. 5 - An equipment catalog boasts that a pressure...Ch. 5 - The shear modulus, G, of an alloy can be...
Ch. 5 - Heat transfer from a rod of diameter D immersed in...Ch. 5 - Estimate the design-stage uncertainty in...Ch. 5 - Explain the critical dift'erence(s) between a...Ch. 5 - A displacement transducer has the following...Ch. 5 - Prob. 5.18PCh. 5 - For a thin-walled pressure vessel of diameter D...Ch. 5 - Suppose a measured normal stress contains three...Ch. 5 - Prob. 5.31PCh. 5 - The area of a flat, rectangular parcel of land is...Ch. 5 - Estimate the random standard uncertainty in the...Ch. 5 - Estimate the uncertainty at 95% confidence in the...Ch. 5 - One use for a GPS rangefinder is on the golf...Ch. 5 - A pressure measuring system outputs a voltage that...Ch. 5 - The density of a metal composite is to be...Ch. 5 - A temperature measurement system is calibrated...Ch. 5 - The power usage of a strip heater is to be...Ch. 5 - The power usage of a DC strip heater can be...Ch. 5 - A thermocouple is a temperature sensor made of two...Ch. 5 - Time variations in a signal require that the...Ch. 5 - A hand-held infrared thermometer from a well-...Ch. 5 - The pressure in a large vessel is to be maintained...Ch. 5 - The cooling of a thermometer (c.g., Exs. 3.3 and...Ch. 5 - A J-type thermocouple monitors the temperature of...Ch. 5 - The density of air must be known to within 0.5%....Ch. 5 - In pneumatic conveying, solid particles such as...Ch. 5 - A step test is run to determine the time constant...Ch. 5 - The acceleration of a cart down a plane inclined...Ch. 5 - The heat flux in a reaction is estimated by Q =...Ch. 5 - A comparative test uses the relationship R =...Ch. 5 - A sensitive material is to be contained within a...Ch. 5 - A geometric stress concentration factor, K,, is...Ch. 5 - In Problem 5.9, we assumed that the errors in die...
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