Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 9.12P
Calculate the design-stage uncertainty in estimating a nominal pressure of 10,000 N/m2 using an inclined manometer (resolution: 1 mm; zero error uncertainty: 0.5 mm) with water at 20 °C for inclination angles of 10 to 90 degrees (using 10- degree increments). The inclination angle can be set to within 1 degree.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Manometers are pressure-measuring devices that determine a pressure by measuring the
height of a column of fluid. We would like to achieve an accuracy of 0.1% of the maximum
reading, 10 kPa. This is to be done by using a type of manometer called a well manometer,
which has an uncertainty of 1/10 mm in reading a scale. Estimate the uncertainty that can
be tolerated in the density of a gage fluid, which has a nominal value of 2500 kg/m³.
Note: The relationship between the pressure and the measured column height for a
manometer is
P = pgh
3. Calculate a circular pressure tank volume and its uncertainty if the diameter, D,
is 1.5 m and the length, L, is 3 m and the measurement are given with bilateral
tolerance of±l cm.
2
2
ле
si +
Sy =
tolerance in diameter
tolerance in length
where Sp=
and Si =
3
3
D2
andV = ar²L=n-L
4
A catheter-sensor system for invasive pressure measurements has a catheter with a length of 1 m and a diameter of 2.5 mm. The catheter is filled with water at 20 C, with viscosity = 0.001 Pa.s and density = 103 kg/m3. The diaphragm elasticity Ed equals 0.5x1015 N/m5.
a. Draw the simplified electrical model of the pressure measurement set-up that includes the catheter and the diaphragm and determine the transfer function of the pressure measurement system.
b. Compute the natural frequency and damping ratio of this system.
c. The current system has a damping ratio that is far from optimal. Suppose you are pinching the catheter for a small length lx so that the catheter diameter reduces to 0.2mm. Assuming the pinch to affect the resistance only, determine the length lx such that an optimal damping ratio = 0.7 is obtained.
d. Suppose that the assumption of purely resistive effects of the pinch cannot be made. Discuss (without calculations) the consequences on the derivation of lx.
Chapter 9 Solutions
Theory and Design for Mechanical Measurements
Ch. 9 - Prob. 9.1PCh. 9 - 9.2 State the following pressures as absolute...Ch. 9 - A water-filled manometer is used to measure the...Ch. 9 - Prob. 9.4PCh. 9 - 9.5 The pressure differential across an orifice...Ch. 9 - Show that the static sensitivity of an inclined...Ch. 9 - Prob. 9.7PCh. 9 - Show that the instrument (systematic) uncertainty...Ch. 9 - A strain gauge, diaphragm pressure transducer...Ch. 9 - Select a practical fluid to use in a manometer to...
Ch. 9 - An air pressure over the 200- to 400-N/m2 range is...Ch. 9 - Calculate the design-stage uncertainty in...Ch. 9 - The pressure drop across a valve through which air...Ch. 9 - Estimate the sensitivity (pF/mm) of a capacitance...Ch. 9 - A diaphragm pressure transducer is calibrated...Ch. 9 - A diaphragm pressure transducer is coupled with a...Ch. 9 - Prob. 9.17PCh. 9 - A 2.0 mm thick circular steel diaphragm (Em = 200...Ch. 9 - Estimate the differential pressure limit for a...Ch. 9 - The pressure fluctuations in a pipe filled with...Ch. 9 - What is the sensitivity of a pitot-static tube...Ch. 9 - A pitot-static pressure probe inserted within a...Ch. 9 - A tall pitot-static tube is mounted through and...Ch. 9 - The pressure transmission line response equation...Ch. 9 - Prob. 9.26PCh. 9 - Prob. 9.28PCh. 9 - Compare the inertance of water in a 0.2-m-long...Ch. 9 - The output from a resting healthy human adult...Ch. 9 - Prob. 9.31PCh. 9 - A pressure drop of 213 Pa is measured between two...Ch. 9 - Wall pressure taps (e.g., Figs. 9.19 and 9.21) are...Ch. 9 - Prob. 9.34PCh. 9 - Prob. 9.35PCh. 9 - Determine the resolution of a manometer required...Ch. 9 - A long cylinder is placed into a wind tunnel and...Ch. 9 - Prob. 9.38PCh. 9 - Prob. 9.39PCh. 9 - What is the sound pressure in pascals if the...Ch. 9 - A 6-mm-diameter pitot-static tube is used as a...Ch. 9 - For the thermal anemometer in Figures 9.31 and...Ch. 9 - Determine the static sensitivity of the output...Ch. 9 - A laser Doppler anemometer setup in a dual-beam...Ch. 9 - A set of 5,000 measurements of velocity at a point...Ch. 9 - Aircraft airspeed is measured using a pitot...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure refering to the solution provided online, Sensitivity error(eK) = (±0.0025)(500 cm H2O)= ± 0.75 cm H2O = ± 0.00375 V how do you get 0.75?? shoud it not be 1.25? according the answer, for sensitivityarrow_forwardan automobile speedometer is graduated in 5 kmph increaments and has accuracy rated to be within 4% . estimate the 95% uncertainty in indicated speed at 90 kmph??arrow_forwardWhat should be the surface tension of a liquid if its density, which is 1.44 g/cc, is the same as that of the calibrating liquid? The displacements of the liquid and the calibrating liquid inside the capillary tube are both 0.5 cm. The surface tension of the calibrating liquid is 29.4509 dynes/cm.arrow_forward
- A 100 mm by 50 mm Venturi meter is installed in a 100 mm diameter pipe to measure the flow of a certain liquid (sp gr 1.20). A differential gage connected with the inlet and throat contains a substance (sp gr 1.5) in the lower part of the tube, the remainder of the tube being filled with the certain liquid. The difference in height of substance columns in the two legs of the tube is 75 cm. If the coefficient of the meter is 0.97, compute the actual discharge.arrow_forwardA Pitot tube is going to be used with an airflow at 32°C and 5 atm, and a velocity is 3 m/s: a) What is the dynamic pressure (in Pa)? b) What is the uncertainty of the velocity measurement if the dynamic pressure is measured with a manometer having an uncertainty of 3 Pa? c)What is the relative uncertainty (in %) of the absolute uncertainty calculated in part b) with respect to the velocity measured?arrow_forwardThe transducer specified in Table 1.1 is chosen to measurea nominal pressure of 500 cm H2O. The ambient temperature is expected to vary between 18 ∘C and 25 ∘C duringtests. Estimate the possible range (magnitude) of each listedelemental error affecting the measured pressure. How do I calculate the sensitivity error? The solution that was given: Sensitivity error(eK) = (±0.0025)(500 cm H2O)= ± 0.75 cm H2O = ± 0.00375 V My Question is, how do you obtain 0.75 since 0.0025 x 500 gives 1.25! please help. thanksarrow_forward
- A new thermometer is invented where the temperature scale is in degree G (°G). The boiling point of water is 900°G and the freezing point of water is 120°G. Derive an equation for conversion from °G to °C.arrow_forward.ll GH Vodafone LTE 6:38 AM © 85% 4 Today Edit 6:36 AM .ll GH Vodafone LTE 6:36 AM @ 84% 4 MCE 243 Note New.pdf Question 3 A multi-fluid container is connected to a U-tube manometer as shown in fig below. For the given specific gravities and fluid column heights, determine the gage pressure at A. Also determine the height of a mercury column that would create the same pressure at A. 70 cm Oil SG - 0.90 30 cm Water 90 cm Glycerin 20 сm 15 cm 25 orldrearrow_forwardPi constant to be used: 3.14159 Capillary tube: radius = 0.02 cm; length = 9 cm; pressure = 0.7 mmHg Liquid sample: density = 4 ml; time of flow = 4.5 seconds Determine (a) pressure in MKS unit, (b) pressure in CGS unit, (c) the viscosity of the liquid, (d) If the weight was given as 8.5 grams, what will be the density of the liquid? (e) the kinematic viscosity of the liquid? (f) and the fluidity of the liquid?arrow_forward
- A thermometer having a time constant of 0.2 min is placed in a temperature bath, and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at a rate of l0 C/min. What is the difference between the indicated temperature and the bath temperature (a) 0.1 min, (b) 1.0 min after the change in temperature begins?arrow_forward23 ft^3 of air was drawn from a ventilation duct and measured by means of a dry gas meter. the meter's temperature averaged 60 F and the meter gage pressure was -1.9" H2O. Barometric pressure during the sampling was 752 mm Hg. Calculate the volume in standard cubic feet and in standard cubic meter (25C, atm)arrow_forwardA Prandtl tube (Pitot-static tube with C = 1) is used to measure the velocity of water. The differential manometer reading is 10 mm of liquid column with a relative density of 10. Assuming g = 9.8 m/s², the velocity of water (in m/s) isarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License