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 3, Problem 3.5P
A thermal sensor having a time constant of 1 s is used to record a step change of 0 °C to 49 °C in process temperature. Show the sensor time response, T(t). Determine the 90% rise time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
d. At t=0, temperature of water suddenly changed from 25°C to 100°C. The transfer function of
the sensor is given as V=(0.06V/°C) (T- 20°C). The output voltage was measured every 0.1s
and recorded in Table 1. Find the equation explaining the dynamic behaviour of the sensor.
Table 1
Time (sec)
0.0
0.1
0.2
0.3
0.4
0.5
Voltage (V)
0.3
1.8
2.8
3.4
3.9
4.2
A temperature sensor Pt100 has a rage from
-200C to 850C as shown in the figure.
Considering the function is linear, find the
sensitivity of the sensor? How can we
?improve the sensitivity of this sensor
Resistance vs. Temperature- Pt100 (385)
400
350
300
250
200
150
100
50
-200
100
100
200
300
400
50
600
700
800
900
Temperature ["c)
Resistance [Ohms]
(c) An electronic Pl temperature controller has an output p of 15 mA when the set point equals the
nominal process temperature. The controller response to step change in the temperature set point of 3
mA is shown below.
t(s)
0-
0+
20
60
80
Determine the controller gain K, and the integral time.r
p (mA)
8,0
6,8
6.0
4.4
3.6
Chapter 3 Solutions
Theory and Design for Mechanical Measurements
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - A thermal sensor having a time constant of 1 s is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - A signal of frequency l/rc Hz is passed through a...Ch. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - An application demands that a sinusoidal pressure...Ch. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - A measuring system has a frequency response...Ch. 3 - Prob. 3.42PCh. 3 - A catheter is inserted into the vena cava of an...Ch. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - The displacement of a rail vehicle chassis as il...Ch. 3 - The amplitude spectrum of the time-varying...Ch. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - A camera flash light is driven by the energy...Ch. 3 - Run program Temperature Response.vi. The program...
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
- A seismic transducer with natural frequency 750 rad/s and damping ratio 0.7 is used to measure acceleration. The input to the sensor is a sinusoidal displacement with amplitude 1 x 10 m and fundamental frequency 100 Hz. The resulting steady-state acceleration measurement is a sinusoid. What is its amplitude (in m/s?)?arrow_forwardProblem 4-1: During a step function calibration, a first-order instrument is exposed to a step change of 100 units. If after 1.2 s the instrument indicates 80 units, estimate the instrument time constant. Estimate the error in the indicated value after 1.5 s. For this instrument, y (0) = 0 units; K = 1 unit/unit.arrow_forwardAn experiment was carried out on a SDOF system to estimate the natural frequency and damping. The time history plotted below has the response in centimetres and the time in seconds, as shown in Figure Q10 below. Estimate values for the following and choose the nearest values from the list given below: the damped natural frequency in Hz; the damping ratio using the logarithmic decrement method; and the natural frequency in rad/s. Ju(t) 2.00 AMA 1.00 0.00 0.00 Figure Q10 0.80 1.60 Select one or more: O a. 4.92 b. 0.781 c. 0.625 O d. 0.330 O e. 0.052 2.40 3.20 4.00 tarrow_forward
- An unmanned submarine is equipped with temperature and depth measuring instruments and has radio equipment that can transmit the output readings of these instruments back to the surface. The submarine is initially floating on the surface of the sea with the instrument output readings in steady state. The depth measuring instrument is approximately zero order and the temperature transducer first order with a time constant of 50 seconds. The water temperature on the sea surface, , is 20 °C and the temperature at a depth of x meters is given by the relation: If the submarine starts diving at time zero, and thereafter goes down at a velocity of 0.5 meters / second, draw a table showing the temperature and depth measurements reported at intervals of 100 seconds over the first 500 seconds of travel. Show also in the table the error in each temperature reading.What temperature does the submarine report at a depth of 1000 meters?arrow_forwardThe following chart represents the Dynamic Amplification Factor (DLF) of pulses type Ramp. Time from 0 to Maximum force: td Natural Period of the structure: T What is the maximum dynamic displacement of a structure with: stiffness, k, of 150 kip/in mass, m=50/g k-sec^2/in g: gravity acceleration The ramp force reach the maximum force F=100kip in a time td-0.15 sec RAMP: DLF vs td/T DLF 2500 1.500 1.000 0:000 O 0.81 in O 1.22 in O 0.67 in O 1.50 in td/T 15arrow_forwardGiven the following discrete time system where y[n] is the system output and x[n] is the input, indicate which of the provided options are the discrete poles of the system. yln] = 0.7y[n – 1] – 0.4y[n – 2] + 2x[n – 1] + 4x[n – 3] Select one: O a. 0.5 + j0.9634 O b. 0.35 + j0.52 O c. -0.25 + j0.45 O d. 0.35 + j0.152arrow_forward
- PIoVide ue comect u We want to design an experiment to measure oscillations of a simple pendulum on the surface of Jupiter with acceleration due to gravity g= 30 ms 2. We have to make do with a rudimentary video camera with a frame rate of 15 Hz to record oscillations in a pendulum and use it to measure the frequency of oscillation. The smallest length of the pendulum that we can send so that the correct oscillation frequency can be measured is cm. Assume perfect spatial resolution of the camera and ignore other "minor" logistical difficulties with this experiment.arrow_forwardThe response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m (5Mks) Determino: (i) the amplitude of motion. (2Mks) (ii) the period of motion. (in) the linear frequency in Hz. (4) the angular frequency in rad/s. (2Mks) (2Mks) (2Mks) (2Mks) (v) the frequency in cpm. (vi) the phase angle. (2Mks) (vii) the response of the system in the form of x(t) = X sin(t +$) m.arrow_forwardConsider the closed loop system with response shown in following figure. What is the 10%-90% rise time of the response? Give your answer in seconds to the nearest third decimal place. Do not enter the units. Amplitude 1.4 1.2 1 0.8 0.6 0.4 0.2 OF 0 A H | ¦¦ H 0.05 H H A H I -14 LA 0.1 A 18 0.15 Time (seconds) 0.2 0.25 t 0.3 0.35arrow_forward
- Answer the following questions, to test your understanding of sampling frequency and bit depth. 1. You are part of new automobile design team, and are responsible for designing the sensor data collection system. The specification of the data collection system is that is must be capable of receiving data with a resolution down to 0.1% of full scale (1 part in 1000) for any given sensor. For example, suppose the driver pushes the gas pedal, the motion of which is read by an electronic sensor such that the range of motion is defined from 0 (not pressed) to 1 (fully pressed). If you want 0.1 % accuracy, you need 1000 possible data values between 0 and 1. How many bits do you need to represent data to 0.1% accuracy? Insert a picture of your work.arrow_forwardQUESTION 1 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x (1) +x(t) dx(1) dt +x(t)=0 dx x(0) = 0, =1. dt =0 What is x(t=0.8)? 0.653 ○ 0.726 ○ 0.498 0.547 ○ 0.651 ○ 0.895arrow_forward1- Change in temperature is a physical input variable of a sensor. Select one: True Falsearrow_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
What is Metrology in Mechanical Engineering? | Terminologies & Measurement; Author: GaugeHow;https://www.youtube.com/watch?v=_KhMhFRehy8;License: Standard YouTube License, CC-BY