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 9.11P
An air pressure over the 200- to 400-N/m2 range is to be measured relative to atmosphere using a U-tube manometer with mercury (S = 13.57). Manometer resolution is 1 mm with a zero error uncertainty of 0.5 mm. Estimate the design-stage uncertainty in gauge pressure based on the manometer indication at 20 °C. Would an inclined manometer (0 = 30 degrees) be a better choice if the inclination could be set to within 0.5 degree?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A U-tube manometer indicates a pressure drop of 10 in. water across in an air filter. The air is at 26 C and a pressure of 60 lbf/in2 :
(a) What is the pressure drop in lbf/in2 and in atm?
(b) What percentage of error is introduced if the density of the air in the manometer leads is neglected. (Air density = 1.168 kg/m3 ) (g =32.17 ft/s2)
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. 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_forwardA constant pressure thermometer is used to measure the temperature of a room. Following data is known: Final volume of thermometer = 10 m^3. Intial volume = 5 m^3. Inside temperature of the ideal gas in thermometer is 283 K. Determine the room temperature.arrow_forwardFor the closed tank with Bourdan-tube gages tapped into it, what is the specific gravity of the oil and the pressure reading on gage C? 0.5 m Air PA 50.0 kPa 1.0 m Oil 0.5 m B Pg = 58.53 kPa 1.0 m Water 0.5m Pc = ? T= 10°Carrow_forward
- A "dead-weight" pressure testing machine as shown in Fig. Q5b is used to measure the accuracy of a Bourdon pressure gauge. If the weight and piston together weigh 200 N and the piston diameter is 2.5 cm, find the percentage error of the Bourdon pressure gauge if it indicates a pressure of 350 kPa. Piston weight Fig. Q5a oil Pressure gauge [3 marks]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 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_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
- An inclined tube manometer measures the gauge pressure ps of a system S . The reservoir and tube diameters of the manometer are 50 mm and 5 mmrespectively. The inclination angle of the tube is 30°. What will be the percentage error in measuring pS if the reservoir deflection is neglected.arrow_forward1. To determine the dynamic viscosity of a liquid you take repeated measurements of the liquid density and kinematic viscosity. These data are summarized in the following table: Avg. measurement Total Uncertainty P 999 kg/m³ ±0.5% V 1.23 mm²/s ±0.01 mm²/s kg Ns What is the dynamic viscosity? Give dynamic viscosity in units of; which is the same as ms 2. Determine the absolute and relative uncertainties in the dynamic viscosity.arrow_forwardA closed tank contains 0.610 m of mercury, 1.524 m of water, 2.438 m of oil of specific gravity 0.750, and an air space above the oil. If the pressure at the bottom of the tank is 276 kPa gage, what should be the reading of the gage in the top of the tank? 2.30. Ans. 161 kPa 30 FLUID STATICS [CHAP. 2 Air 10 Oil sp gr 13.57 Fig. 2-20arrow_forward
- For the closed tank with Bourdon-tube gages tapped into it, what is the specific gravity of the oil and the pressure reading on gage C? 0.5 m Air A PA=50.0 kPa 1.0 m Oil B PB= 58.5 kPa 0.5 m 1.0 m Water C Pc=? 0.5 m T= 10°Carrow_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_forward3. In the Figure below, determine: (a) the calibration range of the DP transmitter in inches of water, (b) the differential pressure head in inches water at the transmitter at 75% level Given: 100% S HLL NLL LLL Xx Y3=130 in. SG3=1.26 S = 60 in Y2 = 30 in. SG2=1.12 Y1 = 15 in. SG1 = 0.82arrow_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
What is Metrology in Mechanical Engineering? | Terminologies & Measurement; Author: GaugeHow;https://www.youtube.com/watch?v=_KhMhFRehy8;License: Standard YouTube License, CC-BY