Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.9P
Two resistors arc to be combined to form an equivalent resistance of 1,000 £2. The resistors are taken from available stock on hand as acquired over the years. Readily available are two common resistors rated at 500±50fl and two common resistors rated at 2,000 ft ±5%. What combination of resistors (series or parallel) would provide the smaller uncertainty in an equivalent 1,000(2 resistance?
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A thermocouple is used to
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A J-type thermocouple is used to measure the unknown steady-state temperature of a
liquid. The sensor outputs a voltage of 2.532 mV. Using Equation 2 and Table 1.2,
determine the unknown temperature. Show all calculations and assume the
thermocouple is referenced to 0 °C.
T = a₁ + a₂V + ·
...+ a₂V²
a
a₁
0.000 000
1.978 425 x 10-²
-2.001 204 x 10¹7
1.036 969 x 10-¹1
-2.549 687 x 10-16
3.585 153 x 10-21
-5.344 285 x 10.26
5.099 890 x 10:³1
Table 1.2 -J-type thermocouple polynomial coefficients over the range of 0°C to 760°C ± 0.04°C
8₂
a3
a4
(2)
as
as
a7
Using the colored bands on the two resistors at your table, you determine that the two resistances of the resistors are 200 ohms with 5%
tolerance and 100 ohms with a 20% tolerance. What would you expect the equivalent resistance of the two resistors to be (including the
uncertainty) if they are connected in series?
) ohms
±
Check
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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