UTC. Engineering 3280L. Spray Paint Booth Pressure Control System. Caleb Walker. Yellow team: Caroline Brune, Chris Legenski
|
|
- Nickolas Ross
- 5 years ago
- Views:
Transcription
1 UTC Engineering 3280L Spray Paint Booth Pressure Control System Yellow team: Caroline Brune, Chris Legenski
2 Table of Contents I. Introduction... 4 Figure 1: Schematic Diagram of the Dunlap Plant Spray-Paint Booths... 4 II. Background and Theory... 5 Figure 2: Block Diagram of Paint Booth System... 5 A. Component 1: Variations in Measured Quantities... 5 B. Component 2: Transient Responses of the System... 5 Figure 3: Step Input... 6 Figure 4: Step Response... 6 Equation 1: Student T s Statistics using 95% confidence Interval... 6 Figure 5: Student s T... 7 III. Procedure... 8 A. Component 1: Variations in Measured Quantities... 8 Procedure 1: Constant Pressure with both Dampers Open... 8 B. Component 2: Transient Responses of the System... 8 Procedure 2: Step Response with both Dampers Open... 8 IV. Results A. Component 1: Variations in Measured Quantities Graph 1: Steady State Operating Curve B. Component 2: Transient Responses of the System Graph 2: Flow System Gain Graph 3: Flow System Dead Time Graph 4: Flow System First Order Time Constant V. Discussion A. Component 1: Variations in Measurement Quantities B. Component 2: Transient Responses of the System VI. Conclusion and Recommendations A. Component 1: Variations in Measurement Quantities B. Component 2: Transient Responses of the System VII. Appendices A. Component 1: Variations in Measurement Quantities Page 2
3 Figure 6: Component 1 Data B. Component 2: Transient Responses of the System Graph 4: Step Response Data Obtain Example Figure 7: Component 2 Data Page 3
4 I. Introduction Green Engineering s plant, located in Dunlap, Tennessee, contains a series of equipment in the process of engine assembly. The housings contained in these engines are first spray painted in three rooms, each pressurized to control the exhaust which emits to the atmosphere by passing through a filter. The emission must be in accordance with US-EPA, the state of Tennessee, and local Air Pollution Control Agency. A variable-speed pneumatic blower is under feedback control to maintain the desired booth pressure, as illustrated in Figure 1. Figure 1: Schematic Diagram of the Dunlap Plant Spray-Paint Booths Solenoid-operated valves, D-1 and D-2, have been installed to close off pressurizing to booths 2 and 3 when they are not in use. This report details the relationship between the pressure in the rooms and the speed of the blower s motor Page 4
5 II. Background and Theory The variable speed of the blower operates under pressure feedback control. The system s Manipulated variable, m(t), is a function of time. This input function represents the power sent to the motor and ranges from 0-100%. The Controlled variable or output function, c(t), represents the pressure in the booth in units of centimeters of water; a function of time. Figure 2 illustrates this relationship between input and output of the pressure feedback control system. Figure 2: Block Diagram of Paint Booth System A. Component 1: Variations in Measured Quantities Each experimental measurement contains associated error which can be found using multiple steady-state measurements of the output function. Once multiple data points have been achieved for each experimental output, obtain the mean and standard deviation. The associated error, termed uncertainty, will be twice the value of the standard deviation. Adding and subtracting the uncertainty to the mean provides the true value of the function at a confidence level of 95%. The experiment detailed within this report is executed with both solenoid valves open. B. Component 2: Transient Responses of the System This experiment is designed to find the coefficients for a transient mathematical model for the pressure booth system. These coefficients are found by providing an abrupt, instantaneous change in the system s input, a step change. The system pressure output, in response to the change in input, is termed the step response of the system. To obtain step response data, the system is started at an input greater than zero, called the base line value of m(t). Once the base line reaches steady state, the system is abruptly changed up or down creating a step increase or decrease respectively. This method is illustrated in Figure Page 5
6 Figure 3: Step Input The output is plotted against time to obtain the step response, as demonstrated in Figure 4. Figure 4: Step Response A response curve as shown in Figure 4 conveys the system takes a certain time to respond to the input step. Characteristics of these graphs determine the First-order Plus Dead Time (FOPDT) parameters of the system: steady state gain, response time, and dead time. The associated error in each average is calculated using Student T Statistics as illustrated in Equation 1. Equation 1: Student T s Statistics using 95% confidence Interval»»º» ¹º¹» ¹ººº»/º Where X-max and X-min represent the largest and smallest data point, n is the number of data points, and t is the student s T shown in Figure Page 6
7 Figure 5: Student s T n t t/n Page 7
8 III. Procedure A. Component 1: Variations in Measured Quantities Procedure 1 details the operating conditions in obtaining each data point. The target output ranged from 2-20 cm-h2o. Procedure 1: Constant Pressure with both Dampers Open 1. Access UTC laboratories on the web, pressure station with constant input 2. Fill in name, location, and 3. Detail length of operation, selected input value 4. Select the time for dampers #1 and #2 to be open 5. Click run experiment 6. Export the data to excel once experiment is complete 7. Plot booth pressure vs. time and locate the steady state time segment 8. Obtain the average and standard deviation of the steady state power output data 9. Repeat steps 2-8 with different input values 10. Plot booth pressure vs. input power for each calculated average 11. Add error bars for each average calculated from two times each standard deviation 12. This graph represents the steady-state operating curve for the system operating at both dampers open B. Component 2: Transient Responses of the System Procedure 2: Step Response with both Dampers Open 1. Access UTC laboratories on the web, pressure system with step input 2. Fill in name, location, and 3. Detail input, step input, duration of first input, and total length of operation 4. Select time for dampers #1 and #2 to be open 5. Click run experiment 6. Export the data to excel upon completion of experiment 7. Plot booth pressure vs. time (Figure 4) to locate the steady state base output and step output 8. Calculate the average pressure for both outputs at each respective steady state 9. Divide change in output by change in input to obtain gain 10. Insert a line tangent to the steepest slope of the output step response 11. Dead time is determined by the distance between the input base line s initial step to the line configured in step Insert a vertical line where dead time horizontal line intersects the sloped line from step Page 8
9 13. First order time constant is the distance between the dead time to step 12 s vertical line 14. Repeat steps 2-13 for three step ups and three step downs 15. The uncertainty of each data point is calculated using Student T statistics with 95% confidence interval (Equation 1 and Figure 5) Page 9
10 IV. Results A. Component 1: Variations in Measured Quantities Graph 1 demonstrates averages and associated error in the output range of cm-h2o. Reported averages and uncertainties are located in Appendix A. Graph 1: Steady State Operating Curve Steady-State Operating Curve Booth Pressure (cm-h2o) Input Power (%) B. Component 2: Transient Responses of the System Graphs 2-4 represent the FODPT constants measured in low, medium, and high ranges with each range containing step up and down with associated error bars. The values and error are also located in Appendix B Page 10
11 Graph 2: Flow System Gain Flow System Gain High-down High-up Miid-Down Mid-up Lower Down Lower-Up Cm-H2O/% Page 11
12 Graph 3: Flow System Dead Time Flow System Dead Time High-down High-up Miid-Down Mid-up Lower Down Lower-Up Seconds Page 12
13 Graph 4: Flow System First Order Time Constant Flow System First Order Time Constant High-down High-up Miid-Down Mid-up Lower Down Lower-Up Seconds Page 13
14 V. Discussion A. Component 1: Variations in Measurement Quantities Associated error increased as the input power percentage increased. The uncertainty at 20cm- H2O output was more than double the uncertainty at 2cm-H2O. This information shows that as the system is operated at higher input percentages, associated error increases. B. Component 2: Transient Responses of the System The measured gain resulted in a tendency to decrease as input increased. Downward steps were larger in each range then their respected upward steps. The measured dead time proved larger as input increased, with downward steps greater than double their respected upward steps. The first order time constant achieved the most consistent data and slightly decreased as input increased. The downward steps in the first order time constants are larger than each respected range upward step Page 14
15 VI. Conclusion and Recommendations A. Component 1: Variations in Measurement Quantities When high booth pressures are required, associated error is much greater. This must be accounted for by inputting a slightly higher input percentage so that legal air pollution is maintained. B. Component 2: Transient Responses of the System Downward step responses are larger than upward step responses. As input power percentage increases, gain and dead time also increase while the first order time constant only slightly decreased Page 15
16 VII. Appendices A. Component 1: Variations in Measurement Quantities Figure 6: Component 1 Data Input (%) Average Output (cm-h2o) Standard Uncertainty Deviation Page 16
17 B. Component 2: Transient Responses of the System Graph 4 demonstrates an experimental graph to obtain the FOPDT constants Graph 4: Step Response Data Obtain Example 8 Upward Response Step Example 7 6 Output (cm-h20) Time (s) Page 17
18 Figure 7 represents the average and uncertainty obtained for each range s upward and downward step. Figure 7: Component 2 Data Range K Uncertainty Low-Up Low-Down Mid-Up Mid-Down Hi-Up Hi-Down Range Dead Time Uncertainty Low-Up Low-Down Mid-Up Mid-Down Hi-Up Hi-Down Range Tau Uncertainty Low-Up Low-Down Mid-Up Mid-Down Hi-Up Hi-Down Page 18
University of Tennessee at Chattanooga. Engineering 329. Step Response Characteristics
University of Tennessee at Chattanooga Engineering 329 Paint Spray Booth Pressure System: Steady-State Operation and Step Response Characteristics Eric L. Young Jonathan Blanco Matthew Chatham-Tombs September
More informationCourse: ENGR 3280L. Section: 001. Date: 9/6/2012. Instructor: Jim Henry. Chris Hawk 9/6/2012
1 University of Tennessee at Chattanooga Steady State Operating Curve for Filter Wash Station ENGR 328L By: Red Team (Casey Villines, Brandon Rodgers) Course: ENGR 328L Section: 1 Date: 9/6/12 Instructor:
More informationProportional Controller Performance for Aerator Mixer System
1 Proportional Controller Performance for Aerator Mixer System By Nicholas University of Tennessee at Chattanooga ENGR 329-1 Green Team (Monty Veal, TJ Hurless) April 2th, 21 2 Introduction- The experiment
More informationSteady State Operating Curve: Speed UTC Engineering 329
Steady State Operating Curve: Speed UTC Engineering 329 Woodlyn Knight Madden, EI September 6, 7 Partners: Megan Miller, Nick Rader Report Format Each section starts on a new page. All text is double spaced.
More informationSpray Boot Pressure Station UTC -ENGR 3280-L Week 10 March 20, 2013 Blue Team. Ethan Tummins Jeff Clowdus Jerry Basham
Spray Boot Pressure Station UTC -ENGR 3280-L Week 10 March 20, 2013 Blue Team Ethan Tummins Jeff Clowdus Jerry Basham Presentation Overview Spray Booth Pressure Station Overview Steady State Operating
More informationExperiment 81 - Design of a Feedback Control System
Experiment 81 - Design of a Feedback Control System 201139030 (Group 44) ELEC273 May 9, 2016 Abstract This report discussed the establishment of open-loop system using FOPDT medel which is usually used
More informationRECORD AND ANALYSE THE PRESSURE-ENTHALPY DIAGRAM FOR A COMPRESSION HEAT PUMP
Thermodynamics Heat cycles Heat Pump RECORD AND ANALYSE THE PRESSURE-ENTHALPY DIAGRAM FOR A COMPRESSION HEAT PUMP Demonstrate how an electric compression heat pump works Quantitatively investigate of the
More informationLight Intensity: How the Distance Affects the Light Intensity
Light Intensity: How the Distance Affects the Light Intensity Fig 1: The Raw Data Table Showing How the Distances from the Light Bulb to the Light Probe Affects the Percent of Maximum Intensity Distance
More informationYellow Team Pressure Control System Proportional Control: Model and Experiment
Yellow Team Pressure Control System Proportional Control: Model and Experiment Team Members: Jason Hixson Laura Amini Mike Bradley UTC ENGR 8 Nov. th, Outline Bakground System Diagram Operating Range SSOC
More informationChapter 1.4 Student Notes. Presenting Scientific Data
Chapter 1.4 Student Notes Presenting Scientific Data Line Graph Type Described Use Line Compares 2 variables Shows trends Bar Graph Type Described Use Bar Compares Shows Data Bar Graph Type Described Use
More informationOddo-Harkins rule of element abundances
Page 1 of 5 Oddo-Harkins rule of element abundances To instructors This is a simple exercise that is meant to introduce students to the concept of isotope ratios, simple counting statistics, intrinsic
More informationIf we plot the position of a moving object at increasing time intervals, we get a position time graph. This is sometimes called a distance time graph.
Physics Lecture #2: Position Time Graphs If we plot the position of a moving object at increasing time intervals, we get a position time graph. This is sometimes called a distance time graph. Suppose a
More informationMOTION ALONG A STRAIGHT LINE
MOTION ALONG A STRAIGHT LINE 2 21 IDENTIFY: The average velocity is Let be upward EXECUTE: (a) EVALUATE: For the first 115 s of the flight, When the velocity isn t constant the average velocity depends
More informationPHY 123 Lab 4 The Atwood Machine
PHY 123 Lab 4 The Atwood Machine The purpose of this lab is to study Newton s second law using an Atwood s machine, and to apply the law to determine the acceleration due to gravity experimentally. This
More informationAQA Physics A-level Section 1: Measurements and Their Errors
AQA Physics A-level Section 1: Measurements and Their Errors Key Points The base units are the set of seven units of measure from which all other SI units can be derived. Units All other units can be expressed
More informationHRW 7e Chapter 2 Page 1 of 13
HRW 7e Chapter Page of 3 Halliday/Resnick/Walker 7e Chapter. Huber s speed is v 0 =(00 m)/(6.509 s)=30.7 m/s = 0.6 km/h, where we have used the conversion factor m/s = 3.6 km/h. Since Whittingham beat
More informationTrial 1 Trial 2 Trial 3. From your results, how many seconds would it take the car to travel 1.50 meters? (3 significant digits)
SPEED & ACCELERATION PART I: A DISTANCE-TIME STUDY AT CONSTANT SPEED Speed is composed of two fundamental concepts, namely, distance and time. In this part of the experiment you will take measurements
More informationUnit 3 Applications of Differentiation Lesson 4: The First Derivative Lesson 5: Concavity and The Second Derivative
Warmup 1) The lengths of the sides of a square are decreasing at a constant rate of 4 ft./min. In terms of the perimeter, P, what is the rate of change of the area of the square in square feet per minute?
More informationSelected Answers for Core Connections Algebra
Selected Answers for Core Connections Algebra Lesson 11.1.1 11-4. a: 2x!1, shift up 2 units b: 4x! 3, twice as steep c: 2x +1, shift left 2 units d: 4x! 6, twice as steep, y-intercept shifts down 3 units,
More informationGuidance for Writing Lab Reports for PHYS 233:
Guidance for Writing Lab Reports for PHYS 233: The following pages have a sample lab report that is a model of what we expect for each of your lab reports in PHYS 233. It is written for a lab experiment
More informationProcess Dynamics, Operations, and Control Lecture Notes 2
Chapter. Dynamic system.45 Process Dynamics, Operations, and Control. Context In this chapter, we define the term 'system' and how it relates to 'process' and 'control'. We will also show how a simple
More informationVolume vs. Diameter. Teacher Lab Discussion. Overview. Picture, Data Table, and Graph
5 6 7 Middle olume Length/olume vs. Diameter, Investigation page 1 of olume vs. Diameter Teacher Lab Discussion Overview Figure 1 In this experiment we investigate the relationship between the diameter
More informationPHYS 212 PAGE 1 OF 6 ERROR ANALYSIS EXPERIMENTAL ERROR
PHYS 212 PAGE 1 OF 6 ERROR ANALYSIS EXPERIMENTAL ERROR Every measurement is subject to errors. In the simple case of measuring the distance between two points by means of a meter rod, a number of measurements
More informationAppendix A. Common Mathematical Operations in Chemistry
Appendix A Common Mathematical Operations in Chemistry In addition to basic arithmetic and algebra, four mathematical operations are used frequently in general chemistry: manipulating logarithms, using
More informationLinear Motion with Constant Acceleration
Linear Motion 1 Linear Motion with Constant Acceleration Overview: First you will attempt to walk backward with a constant acceleration, monitoring your motion with the ultrasonic motion detector. Then
More informationEEL2216 Control Theory CT1: PID Controller Design
EEL6 Control Theory CT: PID Controller Design. Objectives (i) To design proportional-integral-derivative (PID) controller for closed loop control. (ii) To evaluate the performance of different controllers
More informationMATHS TEACHING RESOURCES. For teachers of high-achieving students in KS2. 2 Linear Equations
MATHS TEACHING RESOURCES For teachers of high-achieving students in KS Linear Equations Welcome These resources have been put together with you, the primary teacher, at the forefront of our thinking. At
More informationUniformly Accelerated Motion
Uniformly Accelerated Motion 2-1 Uniformly Accelerated Motion INTRODUCTION All objects on the earth s surface are being accelerated toward the center of the earth at a rate of 9.81 m/s 2. 1 This means
More informationExperiment IV. To find the velocity of waves on a string by measuring the wavelength and frequency of standing waves.
Experiment IV The Vibrating String I. Purpose: To find the velocity of waves on a string by measuring the wavelength and frequency of standing waves. II. References: Serway and Jewett, 6th Ed., Vol., Chap.
More informationStudent Session Topic: Average and Instantaneous Rates of Change
Student Session Topic: Average and Instantaneous Rates of Change The concepts of average rates of change and instantaneous rates of change are the building blocks of differential calculus. The AP exams
More informationMATH CALCULUS I 2.2: Differentiability, Graphs, and Higher Derivatives
MATH 12002 - CALCULUS I 2.2: Differentiability, Graphs, and Higher Derivatives Professor Donald L. White Department of Mathematical Sciences Kent State University D.L. White (Kent State University) 1 /
More informationChapter 5 Confidence Intervals
Chapter 5 Confidence Intervals Confidence Intervals about a Population Mean, σ, Known Abbas Motamedi Tennessee Tech University A point estimate: a single number, calculated from a set of data, that is
More informationTHE MOVING MAN: DISTANCE, DISPLACEMENT, SPEED & VELOCITY
THE MOVING MAN: DISTANCE, DISPLACEMENT, SPEED & VELOCITY Background Remember graphs are not just an evil thing your teacher makes you create, they are a means of communication. Graphs are a way of communicating
More informationCore practical 9: Investigate the relationship between the force exerted on an object and its change of momentum
Core practical 9 Teacher sheet Core practical 9: Objective To determine the momentum change of a trolley when a force acts on it, as a function of time Safety There are trolleys and masses in motion so
More informationFranklin Math Bowl 2007 Group Problem Solving Test 6 th Grade
Group Problem Solving Test 6 th Grade 1. Consecutive integers are integers that increase by one. For eample, 6, 7, and 8 are consecutive integers. If the sum of 9 consecutive integers is 9, what is the
More informationOur Drop Counter sensor now features housing for two electrode sensors, an anti-twist mechanism, an indicator LED and two cable guides.
The Drop Counter sensor is an optical sensor that accurately records the number of drops of titrant added during a titration. The Drop Counter sensor software can automatically convert the number of drops
More informationMotion Graphs Refer to the following information for the next four questions.
Motion Graphs Refer to the following information for the next four questions. 1. Match the description provided about the behavior of a cart along a linear track to its best graphical representation. Remember
More information1 An Overview and Brief History of Feedback Control 1. 2 Dynamic Models 23. Contents. Preface. xiii
Contents 1 An Overview and Brief History of Feedback Control 1 A Perspective on Feedback Control 1 Chapter Overview 2 1.1 A Simple Feedback System 3 1.2 A First Analysis of Feedback 6 1.3 Feedback System
More information4.3 How Derivatives Aect the Shape of a Graph
11/3/2010 What does f say about f? Increasing/Decreasing Test Fact Increasing/Decreasing Test Fact If f '(x) > 0 on an interval, then f interval. is increasing on that Increasing/Decreasing Test Fact If
More informationCool Off, Will Ya! Investigating Effect of Temperature Differences between Water and Environment on Cooling Rate of Water
Ding 1 Cool Off, Will Ya! Investigating Effect of Temperature Differences between Water and Environment on Cooling Rate of Water Chunyang Ding 000844-0029 Physics HL Ms. Dossett 10 February 2014 Ding 2
More informationAE 3051, Lab #16. Investigation of the Ideal Gas State Equation. By: George P. Burdell. Group E3
AE 3051, Lab #16 Investigation of the Ideal Gas State Equation By: George P. Burdell Group E3 Summer Semester 000 Abstract The validity of the ideal gas equation of state was experimentally tested for
More informationMath RE - Calculus I Functions Page 1 of 10. Topics of Functions used in Calculus
Math 0-03-RE - Calculus I Functions Page of 0 Definition of a function f() : Topics of Functions used in Calculus A function = f() is a relation between variables and such that for ever value onl one value.
More informationLecture 2. Estimating Single Population Parameters 8-1
Lecture 2 Estimating Single Population Parameters 8-1 8.1 Point and Confidence Interval Estimates for a Population Mean Point Estimate A single statistic, determined from a sample, that is used to estimate
More informationAERO 214. Lab II. Measurement of elastic moduli using bending of beams and torsion of bars
AERO 214 Lab II. Measurement of elastic moduli using bending of beams and torsion of bars BENDING EXPERIMENT Introduction Flexural properties of materials are of interest to engineers in many different
More informationTOPIC 9 SIMPLE REGRESSION & CORRELATION
TOPIC 9 SIMPLE REGRESSION & CORRELATION Basic Linear Relationships Mathematical representation: Y = a + bx X is the independent variable [the variable whose value we can choose, or the input variable].
More informationLECTURE 12. STEADY-STATE RESPONSE DUE TO ROTATING IMBALANCE
LECTURE 12. STEADY-STATE RESPONSE DUE TO ROTATING IMBALANCE Figure 3.18 (a) Imbalanced motor with mass supported by a housing mass m, (b) Freebody diagram for, The product is called the imbalance vector.
More informationExperiment 4. Newton s Second Law. Measure the frictional force on a body on a low-friction air track.
Experiment 4 Newton s Second Law 4.1 Objectives Test the validity of Newton s Second Law. Measure the frictional force on a body on a low-friction air track. 4.2 Introduction Sir Isaac Newton s three laws
More informationMathematics Foundation for College. Lesson Number 8a. Lesson Number 8a Page 1
Mathematics Foundation for College Lesson Number 8a Lesson Number 8a Page 1 Lesson Number 8 Topics to be Covered in this Lesson Coordinate graphing, linear equations, conic sections. Lesson Number 8a Page
More informationFigure 4-1: Pretreatment schematic
GAS TREATMENT The pretreatment process consists of four main stages. First, CO 2 and H 2 S removal stage which is constructed to assure that CO 2 would not exceed 50 ppm in the natural gas feed. If the
More informationStandard Practices for Air Speed Calibration Testing
Standard Practices for Air Speed Calibration Testing Rachael V. Coquilla Bryza Wind Lab, Fairfield, California Air speed calibration is a test process where the output from a wind measuring instrument
More informationMark scheme Pure Mathematics Year 1 (AS) Unit Test 2: Coordinate geometry in the (x, y) plane
Mark scheme Pure Mathematics Year 1 (AS) Unit Test : Coordinate in the (x, y) plane Q Scheme Marks AOs Pearson 1a Use of the gradient formula to begin attempt to find k. k 1 ( ) or 1 (k 4) ( k 1) (i.e.
More informationPosition-Time Graphs
Position-Time Graphs Suppose that a man is jogging at a constant velocity of 5.0 m / s. A data table representing the man s motion is shown below: If we plot this data on a graph, we get: 0 0 1.0 5.0 2.0
More informationLAB: MOTION ON HILLS
LAB: MOTION ON HILLS Introduction In this three-part activity, you will first study an object whose speed is changing while it moves downhill. In this lab, the two variables you are focusing on are time
More informationPicket Fence Free Fall
Picket Fence Free Fall Experiment 5 We say an object is in free fall when the only force acting on it is the Earth s gravitational force. No other forces can be acting; in particular, air resistance must
More informationChabot College Scott Hildreth. Verifying Newton s Second Law: The Atwood Machine
Chabot College Scott Hildreth Verifying Newton s Second Law: The Atwood Machine Introduction: A classic experiment in physics to investigate Newton s second law, F = ma, exploring forces and s, is the
More informationMath 108, Solution of Midterm Exam 3
Math 108, Solution of Midterm Exam 3 1 Find an equation of the tangent line to the curve x 3 +y 3 = xy at the point (1,1). Solution. Differentiating both sides of the given equation with respect to x,
More information(Refer Slide Time: 1:42)
Control Engineering Prof. Madan Gopal Department of Electrical Engineering Indian Institute of Technology, Delhi Lecture - 21 Basic Principles of Feedback Control (Contd..) Friends, let me get started
More informationSudden Expansion Exercise
Sudden Expansion Exercise EAS 361, Fall 2009 Before coming to the lab, read sections 1 through 4 of this document. Engineering of Everyday Things Gerald Recktenwald Portland State University gerry@me.pdx.edu
More informationCourse Outcome Summary
Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving
More informationMath 1314 Lesson 7 Applications of the Derivative. rate of change, instantaneous rate of change, velocity, => the derivative
Math 1314 Lesson 7 Applications of the Derivative In word problems, whenever it s anything about a: rate of change, instantaneous rate of change, velocity, => the derivative average rate of change, difference
More informationProcess Control and Instrumentation Prof. A. K. Jana Department of Chemical Engineering Indian Institute of Technology, Kharagpur
Process Control and Instrumentation Prof. A. K. Jana Department of Chemical Engineering Indian Institute of Technology, Kharagpur Lecture - 10 Dynamic Behavior of Chemical Processes (Contd.) (Refer Slide
More information2 Representing Motion 4 How Fast? MAINIDEA Write the Main Idea for this section.
2 Representing Motion 4 How Fast? MAINIDEA Write the Main Idea for this section. REVIEW VOCABULARY absolute value Recall and write the definition of the Review Vocabulary term. absolute value NEW VOCABULARY
More informationAt a certain moment the following temperatures are measured with a psychrometer: 25 C and 17,5 C
ANSWERS Practical Day 1 Exercise Humidity Saturated vapour pressure e s (kpa) γ Temperature t ( C) In the figure above you see (an example of) the relation between vapour pressure and temperature. The
More informationFinal Review. Intermediate Algebra / MAT135 S2014
Final Review Intermediate Algebra / MAT135 S2014 1. Solve for. 2. Solve for. 3. Solve for. 4. Jenny, Abdul, and Frank sent a total of text messages during the weekend. Abdul sent more messages than Jenny.
More informationCollege Calculus Final Review
College Calculus Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the following limit. (Hint: Use the graph to calculate the limit.)
More informationLaboratory instruction SENSOR DEVICES
Laboratory instruction SENSOR DEVICES Examination: It is compulsory to attend the laboratory work. A set of given questions should be answered and should be handed in by each lab group at the end of the
More informationAP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Name: Period: Date: AP Physics C: Mechanics Ch. Motion SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Car A is traveling at twice the speed of car
More informationDate Course Name Instructor Name Student(s) Name. Atwood s Machine
Date Course Name Instructor Name Student(s) Name Atwood s Machine A classic experiment in physics is the Atwood s machine: Two masses on either side of a pulley connected by a light string. When released,
More informationv t 2 2t 8. Fig. 7 (i) Write down the velocity of the insect when t 0. (ii) Show that the insect is instantaneously at rest when t 2and when t 4.
1 Fig. 7 is a sketch of part of the velocity-time graph for the motion of an insect walking in a straight line. Its velocity, v ms 1, at time t seconds for the time interval 3 t 5 is given by v ms -1 v
More informationPotential and Kinetic Energy
Lab VII Potential and Kinetic Energy 1 Introduction This is a lab about the interplay between kinetic and potential energy. While we can calculate forces and accelerations of an object as it moves along
More information1. The horizontal beam represented in Examination Figure 6 carries three loads P 1. and R 2
Student ID: 52573847 Exam: 286037RR - Engineering Mechanics, Part 2 When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam.
More informationB1-1. Closed-loop control. Chapter 1. Fundamentals of closed-loop control technology. Festo Didactic Process Control System
B1-1 Chapter 1 Fundamentals of closed-loop control technology B1-2 This chapter outlines the differences between closed-loop and openloop control and gives an introduction to closed-loop control technology.
More informationInnovative Solutions from the Process Control Professionals
Control Station Innovative Solutions from the Process Control Professionals Software For Process Control Analysis, Tuning & Training Control Station Software For Process Control Analysis, Tuning & Training
More informationFluidisational velocity, resistance of permeable material layer
Fluidisational velocity, resistance of permeable material layer Fluidisation is a process whereby a granular material is converted from a static solidlike state to a dynamic fluid-like state. This process
More informationFOLLOW THE ENERGY! EARTH S DYNAMIC CLIMATE SYSTEM
Investigation 1B FOLLOW THE ENERGY! EARTH S DYNAMIC CLIMATE SYSTEM Driving Question How does energy enter, flow through, and exit Earth s climate system? Educational Outcomes To consider Earth s climate
More informationCHAPTER 13: FEEDBACK PERFORMANCE
When I complete this chapter, I want to be able to do the following. Apply two methods for evaluating control performance: simulation and frequency response Apply general guidelines for the effect of -
More informationSimple circuits - 3 hr
Simple circuits - 3 hr Resistances in circuits Analogy of water flow and electric current An electrical circuit consists of a closed loop with a number of different elements through which electric current
More informationA B C D. Unit 6 (1-Dimensional Motion) Practice Assessment
Unit 6 (1-Dimensional Motion) Practice Assessment Choose the best answer to the following questions. Indicate the confidence in your answer by writing C (Confident), S (So-so), or G (Guessed) next to the
More informationwhere c m s (1)
General Physics Experiment 6 Spectrum of Hydrogen s Emission Lines Objectives: < To determine wave lengths of the bright emission lines of hydrogen. < To test the relationship between wavelength and energy
More informationMath 1314 Lesson 7 Applications of the Derivative
Math 1314 Lesson 7 Applications of the Derivative Recall from Lesson 6 that the derivative gives a formula for finding the slope of the tangent line to a function at any point on that function. Example
More information112. x x 114. y x
Section. Analyzing Graphs of Functions.. 9 9 8 8., and,. m 6 y y Slope 9 9 9 m y y y y y. 6, and, 6. m 6 9 y 6 9 9y 6 9y Slope 6 9 m 9 y 9 y 9 8 8y 8y 9 Section. Analyzing Graphs of Functions You should
More information[ ] 7. ( a) 1. Express as a single power. x b) ( 3) ( 3) = c) = 2. Express as a single power. b) ( 7) ( 7) = e) ( a) ( a) 3.
Mathematics Page Course Review (). Express as a single power. a) x = x b) ( ) ( ) = c) 6 0 6 = d) =. Express as a single power. a) = b) ( ) ( ) = c) 0 0 = d) ( x )( x )( x ) = = f) = e) ( a) ( a). Express
More information[ ] with end points at ( a,f(a) ) and b,f(b)
Section 4 2B: Rolle s Theorem and the Mean Value Theorem The intermediate Value Theorem If f(x) is a continuous function on the closed interval a,b [ ] with end points at ( a,f(a) ) and b,f(b) ( )then
More informationAP Calculus AB and AP. Calculus BC Exam. ApTutorGroup.com. ApTutorGroup.com SAMPLE QUESTIONS
SAMPLE QUESTIONS AP Calculus AB and AP Calculus BC Exam Originally published in the Fall 2014 AP Calculus AB and AP Calculus BC Curriculum Framework The College Board The College Board is a mission-driven
More informationExperiment C-15 Distillation - part 1
1 Experiment C-15 Distillation - part 1 Objectives To learn about the three classical phases of matter, phase changes, and heating and cooling curves. To investigate the technique of distillation and to
More informationKyle Academy. Physics Department
Kyle Academy Physics Department CfE Higher Physics Significant Figures & Uncertainties Name Cultivating Excellence in Science Significant Figures Prefixes for Higher Physics Prefix Symbol Factor pico
More information2. (a) Using the fact that time = distance/velocity while the velocity is constant, we find m 73.2 m 1.74 m/s m 73.2 m v m. 1.
Chapter. The speed (assumed constant) is v = (9 km/h)( m/km) (36 s/h) = 5 m/s. Thus, in.5 s, the car travels a distance d = vt = (5 m/s)(.5 s) 3 m.. (a) Using the fact that time = distance/velocity while
More informationLaboratory instruction SENSOR DEVICES
Laboratory instruction SENSOR DEVICES Examination: It is compulsory to attend the laboratory work. A set of given questions should be answered and should be handed in by each lab group at the end of the
More informationGeneral Physics II. Magnetic Fields and Forces
General Physics II Magnetic Fields and Forces 1 Magnetism Magnetism underlies the operation of the hard disk drive, which is the mainstay of modern electronic information storage, from computers to ipods.
More informationInstructor Resources
SPECTROSCOPY Quantitative Analysis with Light Instructor Resources Learning Objectives The objectives of this experiment are to: identify band and line spectra, and relate the physical state of a light-emitting
More informationAP CALCULUS AB 2004 SCORING GUIDELINES (Form B)
AP CALCULUS AB 004 SCORING GUIDELINES (Form B) Question 4 The figure above shows the graph of f, the derivative of the function f, on the closed interval 1 x 5. The graph of f has horizontal tangent lines
More informationMA Lesson 25 Notes Section 5.3 (2 nd half of textbook)
MA 000 Lesson 5 Notes Section 5. ( nd half of tetbook) Higher Derivatives: In this lesson, we will find a derivative of a derivative. A second derivative is a derivative of the first derivative. A third
More informationCanimals. borrowed, with thanks, from Malaspina University College/Kwantlen University College
Canimals borrowed, with thanks, from Malaspina University College/Kwantlen University College http://commons.wikimedia.org/wiki/file:ursus_maritimus_steve_amstrup.jpg Purpose Investigate the rate heat
More informationActivity P10: Atwood's Machine (Photogate/Pulley System)
Name Class Date Activity P10: Atwood's Machine (Photogate/Pulley System) Equipment Needed Qty Equipment Needed Qty Photogate/Pulley System (ME-6838) 1 String (SE-8050) 1 Mass and Hanger Set (ME-8967) 1
More informationStudent Study Session. Theorems
Students should be able to apply and have a geometric understanding of the following: Intermediate Value Theorem Mean Value Theorem for derivatives Extreme Value Theorem Name Formal Statement Restatement
More informationSECTION 5 EDI Cartridge Valves
SECTION Cartridge Valves Make Model Page Way Pilot Operated Poppet Style Way Pilot Operated Double Lock Way Direct cting 3 Way -Position Direct cting 4 Way -Position Direct cting Spool Style 4 Way 3-Position
More informationCORE. Chapter 3: Interacting Linear Functions, Linear Systems. Algebra Assessments
CORE Algebra Assessments Chapter 3: Interacting Linear Functions, Linear Systems 97 98 Bears Band Booster Club The Bears Band Booster Club has decided to sell calendars to the band members and their parents.
More informationTorques 1.0 Two torques We have written the swing equation where speed is in rad/sec as:
Torques 1.0 Two torques We have written the swing equation where speed is in rad/sec as: 2H Re ( t) T au T mu T eu (1) and when speed is in per-unit as 2H u ( t) Tau Tmu Teu (2) We note that in both cases
More informationExperimental and numerical study of velocity profiles in FGD reactor
Experimental and numerical study of velocity profiles in FGD reactor JAN NOVOSÁD, PETRA DANČOVÁ, TOMÁŠ VÍT Department of Power Engineering Equipment Technical University of Liberec Studentská 1402/2, 461
More informationMath 2003 Test D This part of the Exam is to be done without a calculator
Math 00 Test D This part of the Eam is to be done without a calculator. Which of the following is the correct graph of =? b) c) d) e). Find all the intercepts of = -intercept: 0 -intercepts: 0, -, b) -intercepts:
More information