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
Textbook Question
Chapter 6, Problem 6.6P
For the voltage-dividing circuit of Figure 6.14, develop and plot the family of solutions for loading error versus r = R1/(R1+ R2) as a function of (/?i + R.2)/Rm. Under what conditions will the loading error in measuring the open circuit potential Eo be less than 7% of the input voltage?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these 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. thanks
A temperature measurement system is composed of a sensor and a readout device. The readout device has a claimed accuracy of 0.6 °C with a resolution of 0.1 °C. The sensor has an off-the-shelf limit of error of 0.5 °C. Estimate a design-stage uncertainty in the temperature indicated by this combination.
A displacement transducer has the following specifications:
Linearity error:±0.25% reading
Drift:±0.05%/°C reading Sensitivity error: ±0.25% reading
Excitation: 10-25 V
Output: dc 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltme- ter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.
A load cell is calibrated in an environment at a temperature of 21°C and has the following deflcction/load characteristic:
Load (kg) 0 50 100 150 200
Deflection (mm) 0.0 1.0 2.0 3.0 4.0
When used in an environment at 35°C, its characteristic changes to the following:
Load (kg) 0 50 100 150 200
Deflection (mm) 0.2 1.3 2.4 3.5 4.6
Determine the sensitivity at 21°C and 35°C.
Calculate the total zero drift and sensitivity drift at 35°C.
Hence determine the zero drift and sensitivity drift coefficients (in units of pm/°C and (pm per kg)/(°C)).
Chapter 6 Solutions
Theory and Design for Mechanical Measurements
Ch. 6 - Prob. 6.1PCh. 6 - Plot the torque on a current loop as a function of...Ch. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - For the voltage-dividing circuit of Figure 6.14,...Ch. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Consider a deflection bridge arrangement as shown...Ch. 6 - Prob. 6.10P
Ch. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Consider a Wheatstone bridge circuit that has all...Ch. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - 6.18 A differential pressure transducer transmits...Ch. 6 - Problems 6.19 through 6.22 relate to the...Ch. 6 - Problems 6.19 through 6.22 relate to the...Ch. 6 - Problems 6.19 through 6.22 relate to the...Ch. 6 - Problems 6.19 through 6.22 relate to the...Ch. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - 6.25 Design a cascading LC low-pass filter with...Ch. 6 - 6.26 An electrical displacement transducer has an...Ch. 6 - Prob. 6.27PCh. 6 - Transducer
R
Figure 6.41 pH transducer circuit for...Ch. 6 - 6.29 Consider the circuit of Figure 6.42, which...Ch. 6 - 6.30 What internal impedance is needed for the...Ch. 6 - 6.31 The input to a subwoofer loudspeaker is to...Ch. 6 - 6.31 The input to a subwoofer loudspeaker is to...Ch. 6 - 6.33 A high-pass Butterworth filter with cutoff...Ch. 6 - 6.34 Design an active-RC low-pass first-order...Ch. 6 - 6.35 Design an active-RC first-order high-pass...Ch. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - The Labview program Filtering_Noise demonstrates...Ch. 6 - Labview program Monostable Circuit provides a...Ch. 6 - 6.42 Consider a Wheatstone bridge that has been...Ch. 6 - Prob. 6.43P
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
- Consider the Wheatstone bridge shown in the image. Suppose: R3 = R4 200 ΩR2 = variable calibrated resistorR1 = transducer resistance 40x + 100 When x =0, what is the value of R2 required to balance the bridge? If the bridge is operated in a balanced condition in order to measure x, determine the relationship between R2 and x.arrow_forwardA system has a characteristic equation s^3+2s^2+(k+1)s+8=0 Determine the range of K for a stable system Question 5 options: K<3 K<4 K>4 K>3arrow_forwardExplain the significance of the following information given in the specification of the followingtransducer,Thermocouple Sensitivity: nickel chromium/nickel aluminum thermocouple: 0.039 mV/ºC when thecold junction is at 0 ºC.arrow_forward
- A displacement transducer has the following specifications: Linearity error:±0.25% reading Drift:±0.05%/°C reading Sensitivity error: ±0.25% reading Excitation: 10-25 V Output: dc 0-5Vdc Range: 0-5 cm The transducer output is to be indicated on a voltme- ter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.arrow_forwardFLUID MECHANICS An 8-in diameter piston is pushed inside a cylinder having an 8.005 in diameter. The gap is filled with a lubricant (v=0.003 ft^2/s, SG= 0.80). If the piston is moving at 0.5 ft/s, find the frictional resistance when there is an engagement of 10 ft.arrow_forwardThe following resistance of a platinum resistance thermometer were measured at a range of temperature. Determine the measurement sensitivity of the instrument in milli Ohms/ oC. Resistance (mῼ) Tempreture (oC) 210k 110 217k 89 221k 68 228k 47arrow_forward
- A strain-gauge measurement system is mounted on an airplane wing to measure wing oscillation and strain during wind gusts. The strain system has a 90% rise time of 100 ms a ringing frequency 0f 1200 Hz and a damping ratio of 0.8. Estimate the dynamic error in measuring a 1-HZ oscillation. Also estimate any time lag. Explain in words the meaning of this informationarrow_forwardVoltage E = 220 V ± 1% and resistance R = 22 W ± 0.5% were measured in an electrical circuit with measuring devices. What is the uncertainty in calculating the electrical power expressed as P = E2 / R? A)%2.45 B)%2.53 C)%2.24 D)%2.35 E)%2.64arrow_forwardA displacement transducer has the following specifications: Linearity error: ±0.25% reading Drift: ±0.05%/°C reading Sensitivity error: ±0.25% reading Excitation: 10-25 V dc Output: 0-5Vdc Range: 0-5 cm The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence. The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield Determine a best estimate for the mass displacement at 95% probability based on all available information.arrow_forward
- A displacement transducer has the following specifications: Linearity error: ±0.25% reading Drift: ±0.05%/°C reading Sensitivity error: ±0.25% reading Excitation: 10-25 V dc Output: 0-5Vdc Range: 0-5 cm The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence. The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield X= 17.20mm Sx= 1.70mm Determine a best estimate for the mass displacement at 95% probability based on all available information.arrow_forwardThe fuel gage for a gasoline tank in a car reads proportional to its bottom gage. The tank is 35 cm deep and accidentally contaminated with 3 cm of water. Specific gravity of gasoline is 0.68. If the tank has a uniform horizontal cross-sectional area of 0.45 m2, how many liters of gasoline are required to fill the tank? Select the correct response: 9.53 L 7.41 L 6.35L 8.47L The fuel gage for a gasoline tank in a car reads proportional to its bottom gage. The tank is 35 cm deep and accidentally contaminated with 3 cm of water. Specific gravity of gasoline is 0.68. What is the gage reading when the tank is filled with gasoline? Select the correct response 2.87 kPa 2.11 kPa 2.56 kPa 2.34 kPaarrow_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_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Types Of loads - Engineering Mechanics | Abhishek Explained; Author: Prime Course;https://www.youtube.com/watch?v=4JVoL9wb5yM;License: Standard YouTube License, CC-BY