Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781119126317
Author: Richard S. Figliola; Donald E. Beasley
Publisher: Wiley Global Education US
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Chapter 5, Problem 5.38P
A temperature measurement system is calibrated against a standard system certified to an uncertainty of ±0.05 °C at 95%. The system sensor is immersed alongside the standard within a temperature bath so that the two are separated by about 10 mm. The temperature uniformity of the bath is estimated at about 5 °C/m. The temperature system sensor is connected to a readout that indicates the temperature in terms of voltage. The following are measured values between the temperature indicated by the standard and the indicated voltage:
| r[°c] | £[mV] | T[°C] | £[tnV] |
| 0.1 | 0.004 | 40.5 | 1.624 |
| 10.2 | 0.399 | 51.2 | 2.147 |
| 19.5 | 0.771 | 99.6 | 4.121 |
- Compute the curve fit for T =f(E) and its standard random uncertainty.
- Estimate the uncertainty in using the output from the temperature measurement system for temperature measurements.
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Required information
Water initially at 200 kPa and 300°C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool
at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool
until the pressure is 100 kPa.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Water
200 kPa
300°C
On the T-V diagram, sketch, with respect to the saturation lines, the process curves passing through the initial, intermediate, and final states of the water. Label the
T, P, and V values for end states on the process curves.
Please upload your response/solution by using the controls provided below.
A piston-cylinder device contains 0.87 kg of refrigerant-134a at -10°C. The piston that is free to move has a mass of 12 kg
and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the
temperature is 15°C. Use data from the tables.
R-134a
-10°C
Determine the change in the volume of the cylinder of the refrigerant-134a if the specific volume and enthalpy of R-134a at the initial
state of 90.4 kPa and -10°C and at the final state of 90.4 kPa and 15°C are as follows:
= 0.2418 m³/kg, h₁ = 247.77 kJ/kg
3
v2 = 0.2670 m³/kg, and h₂ = 268.18 kJ/kg
The change in the volume of the cylinder is
m
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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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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