CEE 320 Midterm Examination (1 hour)

Size: px
Start display at page:

Download "CEE 320 Midterm Examination (1 hour)"

Transcription

1 Examination (1 hour) Pleae write your name on thi cover. Pleae write you lat name on all other exam page Thi examination i open-book, open-note. There are 5 quetion worth a total of 100 point. Each quetion lit the point value for that quetion. Pleae work quietly and repect other people pace. Carefully read each quetion and enure that you anwer what i aked. If you need additional workpace, ue the back of the page or the blank page included at the end of the examination. If you need to untaple page, I have a tapler to retaple them at the end of the examination. ANSWER KEY Name (firt, lat): 1

2 Quetion 1: Short Anwer (5 point each) Regarding a vehicle braking ytem, to what doe the term brake force ratio (BFR) refer? BRF i the ratio of the ditribution of braking force by the vehicle braking ytem between front and rear brake. It i expreed a: front brake force rear brake force You need to know what it i and how it typically expreed for full credit. Baed on the hort reading, Reconidering the Ga Tax: Paying for What You Get, i the author in favor of or oppoed to the ga tax? In favor of the ga tax. He generally argue that it i a omewhat equitable uer tax. A vertical curve i 500 ft long and connect an entering grade (G 1 ) of +3.0% to an exiting grade (G ) of -.0%. What i the offet from the PI to the road urface directly below the PI? Thi i olved uing the offet equation. You can ue the full equation or the horthand one for the middle offet. Firt you need to know A = G 1 G = = 5 ()( 5 500) AL Y m = = = ft

3 Quetion (15 point) A garbage truck ha axle weight hown in the table below. Uing the th power thumbrule, etimate how much more damage a full garbage truck doe to the pavement than an empty one. Expre thi quantity a a multiple of the empty truck damage. For intance, the full truck caue XX time more damage than the empty one. Condition Front Axle Weight Rear Axle Weight Empty (no garbage) 6,000 lb 10,050 lb Full of garbage 8,50 lb 3,000 lb Picture from Heil Environmental Indutrie, Ltd. ( Empty 6,000 18,000 Full 8,50 18,000 Multiple.71 = , ,000 3, ,000 = = 0.11 = =.71 ESAL ESAL The full truck caue.6 time more damage than the empty truck 3

4 Quetion 3 (0 point) A truck i climbing up a 6% grade toward Manatah Summit on Intertate 8 jut outide of Ellenburg. It i jut able to maintain a contant peed of 5 mph a it acend the 6% grade. Given the following, what i the engine generated tractive effort? Truck weight = 105,500 lb Coefficient of drag = 1.00 Frontal area = 70 ft Air denity = lug/ft 3 Intertate 8 grade = 6% Remember, at a contant velocity, acceleration = 0. Thi problem eentially ak you to calculate the three baic reitance (aerodynamic, rolling and grade) and then, knowing acceleration = 0, add them up to find the force. If you look at Figure.6 in your text you will ee that the engine generated tractive effort i the controlling force once you get out of the firt couple of gear. Aerodynamic reitance R = ρ C D A f = ( 1.00)( 70)( 5 1.7) = 306. lb a 3 Rolling reitance f rl = = = R = f W = ,500 = 1,59.8 rl rl ( ) lb Grade reitance R g = WG = 105, = 6, ( ) lb Find the engine generated tractive effort Fe R = γ mma However, a = 0 ince velocity i contant. Therefore, F e = R = , ,330.0 = 8, lb

5 Quetion (0 point) The Pocono Raceway in Pennylvania conit of three turn a diagramed below. Turn data are given in the table below. Uing tandard deign aumption, what i the deign peed (to the nearet mph) for the Pocono Raceway baed on horizontal curve geometry only (you mut perform calculation for all 3 curve to get full credit). Note that thi i the deign peed for a typical automobile and not for a race car. Aume R v = R and the coefficient of ide friction = in all cae and for all peed. A Turn North A 1 Turn 1 Turn 3 A 3 Turn Number Curve Length Superelevation 1 Angle ft 6 degree A 1 = 60 degree 750 ft 8 degree A = 90 degree ft 1 degree A 3 = 30 degree Note 1: Superelevation i lited in DEGREES, not percent. Note : Angle meaured are a indicated in the picture and are NOT Δ (delta). One bonu point for the whole cla if anyone can name the NASCAR Nextel Cup champion for 006. You need to firt calculate the radiu for each turn and then ue the baic uperelevation equation to determine the velocity. Do thi for all three turn. The lowet of the three calculated velocitie would be the controlling deign peed and would, therefore, be the deign peed of the entire race track. Recognize that the central angle of the curve (Δ) i equal to 180 minu the angle given in the table. Alo, you need to convert the velocity you obtain from ft/econd to mph, which involved dividing by

6 Turn 1 Find curve radiu ( 800) = 381. ft Rv ( ) π 180L 180 L = RΔ R = = 180 πδ π 97 = Find uperelevation e o tan α = e = ( tanα )( 100) = ( tan 6 )( 100) = 10.5% 100 Find deign peed Rv g( f + e) ( )( 3.)( ) R = = = = 38. g Turn Find curve radiu ( f + e) ( 750) = 77. ft Rv ( ) π 180L 180 L = RΔ R = = 180 πδ π 6 = Find uperelevation e o tan α = e = ( tanα )( 100) = ( tan8 )( 100) = 1.1% 100 Find deign peed Rv g( f + e) ( 77.6)( 3.)( ) R = = = = 5. g Turn 3 Find curve radiu ( f + e) ( 675) = 57. ft Rv ( ) π 180L 180 L = RΔ R = = 180 πδ π 83 = Find uperelevation e o tan α = e = tanα 100 = tan =.9 ( f + e) ( )( ) ( )( ) % Find deign peed Rv g( f + e) ( 57.83)( 3.)( ) R = = = = 39. g mph mph mph Deign Speed = the lowet of the three rounded down to the nearet mph = 38 mph If you rounded up to 39 mph, you alo got full credit. 6

7 Quetion 5 (30 point) Deign a 0 mph equal tangent ag vertical curve to connect the two grade a hown in the drawing. A pedetrian walk-bridge mut be built over tation The bottom of the bridge mut be 0 ft above the centerline urface of the roadway to allow for proper vehicle clearance under the bridge. Report the curve length and the elevation of the pedetrian bridge bottom. PC Pedetrian Bridge Elevation =? 0 ft at STA 9+00 G 1 ertical Curve Data PI tation = PI elevation = 13 ft G 1 = -6.5% G = % PI G PT Strategy Deign a tandard 0 mph ag vertical curve uing K value. Find the length of the curve and calculate PC tation. PC elevation come from knowing G 1, curve length and PI elevation. Once the curve i deigned, you need to find the elevation at tation To do thi you will need to expre the curve a a parabola and then olve for a pecific location (bridge). Then add 0 ft and you have the bridge height. Calculation K ag from Table 3.3 for 0 mph i 6. ( 6.5 ) ft L = KA = 6 = 5 L 5 PC = PI = 5000 = STA L 5 elev = elevpi G1 = = 10. ( ) ( ) ft PC 68 Now, determine the equation for the parabola. y = ax + bx + c 7

8 At the PC : x = 0 and Y = c = ft dy At the PC : x = 0 and = b = G1 = 6.5 dx d Y G G1 G G Anywhere: = a = a = dx L L Therefore, y = x 6.5x with x in tation and y in feet 1 = 6.5 = ( 5.) Find the pedetrian bridge bottom elevation at STA 9+00 (thi i = 1.7 tation along the curve). Firt find the elevation of the roadway at thi point and then add 0 ft to get the bridge elevation. elev road = ( 1.7) 6.5( 1.7) = ft elev = elev + 0 = = 151. ft bridge road 81 8

9 Blank Page for Additional Work Space 9

Physics 218: Exam 1. Class of 2:20pm. February 14th, You have the full class period to complete the exam.

Physics 218: Exam 1. Class of 2:20pm. February 14th, You have the full class period to complete the exam. Phyic 218: Exam 1 Cla of 2:20pm February 14th, 2012. Rule of the exam: 1. You have the full cla period to complete the exam. 2. Formulae are provided on the lat page. You may NOT ue any other formula heet.

More information

Physics Exam 3 Formulas

Physics Exam 3 Formulas Phyic 10411 Exam III November 20, 2009 INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam i cloed book, and you may have only pen/pencil and a calculator (no tored equation or

More information

ME 375 EXAM #1 Tuesday February 21, 2006

ME 375 EXAM #1 Tuesday February 21, 2006 ME 375 EXAM #1 Tueday February 1, 006 Diviion Adam 11:30 / Savran :30 (circle one) Name Intruction (1) Thi i a cloed book examination, but you are allowed one 8.5x11 crib heet. () You have one hour to

More information

Math 273 Solutions to Review Problems for Exam 1

Math 273 Solutions to Review Problems for Exam 1 Math 7 Solution to Review Problem for Exam True or Fale? Circle ONE anwer for each Hint: For effective tudy, explain why if true and give a counterexample if fale (a) T or F : If a b and b c, then a c

More information

Bernoulli s equation may be developed as a special form of the momentum or energy equation.

Bernoulli s equation may be developed as a special form of the momentum or energy equation. BERNOULLI S EQUATION Bernoulli equation may be developed a a pecial form of the momentum or energy equation. Here, we will develop it a pecial cae of momentum equation. Conider a teady incompreible flow

More information

V = 4 3 πr3. d dt V = d ( 4 dv dt. = 4 3 π d dt r3 dv π 3r2 dv. dt = 4πr 2 dr

V = 4 3 πr3. d dt V = d ( 4 dv dt. = 4 3 π d dt r3 dv π 3r2 dv. dt = 4πr 2 dr 0.1 Related Rate In many phyical ituation we have a relationhip between multiple quantitie, and we know the rate at which one of the quantitie i changing. Oftentime we can ue thi relationhip a a convenient

More information

ME 375 FINAL EXAM SOLUTIONS Friday December 17, 2004

ME 375 FINAL EXAM SOLUTIONS Friday December 17, 2004 ME 375 FINAL EXAM SOLUTIONS Friday December 7, 004 Diviion Adam 0:30 / Yao :30 (circle one) Name Intruction () Thi i a cloed book eamination, but you are allowed three 8.5 crib heet. () You have two hour

More information

ρ water = 1000 kg/m 3 = 1.94 slugs/ft 3 γ water = 9810 N/m 3 = 62.4 lbs/ft 3

ρ water = 1000 kg/m 3 = 1.94 slugs/ft 3 γ water = 9810 N/m 3 = 62.4 lbs/ft 3 CEE 34 Aut 004 Midterm # Anwer all quetion. Some data that might be ueful are a follow: ρ water = 1000 kg/m 3 = 1.94 lug/ft 3 water = 9810 N/m 3 = 6.4 lb/ft 3 1 kw = 1000 N-m/ 1. (10) A 1-in. and a 4-in.

More information

Social Studies 201 Notes for November 14, 2003

Social Studies 201 Notes for November 14, 2003 1 Social Studie 201 Note for November 14, 2003 Etimation of a mean, mall ample ize Section 8.4, p. 501. When a reearcher ha only a mall ample ize available, the central limit theorem doe not apply to the

More information

Uniform Acceleration Problems Chapter 2: Linear Motion

Uniform Acceleration Problems Chapter 2: Linear Motion Name Date Period Uniform Acceleration Problem Chapter 2: Linear Motion INSTRUCTIONS: For thi homework, you will be drawing a coordinate axi (in math lingo: an x-y board ) to olve kinematic (motion) problem.

More information

FRTN10 Exercise 3. Specifications and Disturbance Models

FRTN10 Exercise 3. Specifications and Disturbance Models FRTN0 Exercie 3. Specification and Diturbance Model 3. A feedback ytem i hown in Figure 3., in which a firt-order proce if controlled by an I controller. d v r u 2 z C() P() y n Figure 3. Sytem in Problem

More information

Social Studies 201 Notes for March 18, 2005

Social Studies 201 Notes for March 18, 2005 1 Social Studie 201 Note for March 18, 2005 Etimation of a mean, mall ample ize Section 8.4, p. 501. When a reearcher ha only a mall ample ize available, the central limit theorem doe not apply to the

More information

MAE 101A. Homework 3 Solutions 2/5/2018

MAE 101A. Homework 3 Solutions 2/5/2018 MAE 101A Homework 3 Solution /5/018 Munon 3.6: What preure gradient along the treamline, /d, i required to accelerate water upward in a vertical pipe at a rate of 30 ft/? What i the anwer if the flow i

More information

NCAAPMT Calculus Challenge Challenge #3 Due: October 26, 2011

NCAAPMT Calculus Challenge Challenge #3 Due: October 26, 2011 NCAAPMT Calculu Challenge 011 01 Challenge #3 Due: October 6, 011 A Model of Traffic Flow Everyone ha at ome time been on a multi-lane highway and encountered road contruction that required the traffic

More information

Prof. Dr. Ibraheem Nasser Examples_6 October 13, Review (Chapter 6)

Prof. Dr. Ibraheem Nasser Examples_6 October 13, Review (Chapter 6) Prof. Dr. Ibraheem Naer Example_6 October 13, 017 Review (Chapter 6) cceleration of a loc againt Friction (1) cceleration of a bloc on horizontal urface When body i moving under application of force P,

More information

KEY. D. 1.3 kg m. Solution: Using conservation of energy on the swing, mg( h) = 1 2 mv2 v = 2mg( h)

KEY. D. 1.3 kg m. Solution: Using conservation of energy on the swing, mg( h) = 1 2 mv2 v = 2mg( h) Phy 5 - Fall 206 Extra credit review eion - Verion A KEY Thi i an extra credit review eion. t will be worth 30 point of extra credit. Dicu and work on the problem with your group. You may ue your text

More information

two equations that govern the motion of the fluid through some medium, like a pipe. These two equations are the

two equations that govern the motion of the fluid through some medium, like a pipe. These two equations are the Fluid and Fluid Mechanic Fluid in motion Dynamic Equation of Continuity After having worked on fluid at ret we turn to a moving fluid To decribe a moving fluid we develop two equation that govern the motion

More information

MA 266 FINAL EXAM INSTRUCTIONS May 2, 2005

MA 266 FINAL EXAM INSTRUCTIONS May 2, 2005 MA 66 FINAL EXAM INSTRUCTIONS May, 5 NAME INSTRUCTOR. You mut ue a # pencil on the mark ene heet anwer heet.. If the cover of your quetion booklet i GREEN, write in the TEST/QUIZ NUMBER boxe and blacken

More information

μ + = σ = D 4 σ = D 3 σ = σ = All units in parts (a) and (b) are in V. (1) x chart: Center = μ = 0.75 UCL =

μ + = σ = D 4 σ = D 3 σ = σ = All units in parts (a) and (b) are in V. (1) x chart: Center = μ = 0.75 UCL = Our online Tutor are available 4*7 to provide Help with Proce control ytem Homework/Aignment or a long term Graduate/Undergraduate Proce control ytem Project. Our Tutor being experienced and proficient

More information

Sample Problems. Lecture Notes Related Rates page 1

Sample Problems. Lecture Notes Related Rates page 1 Lecture Note Related Rate page 1 Sample Problem 1. A city i of a circular hape. The area of the city i growing at a contant rate of mi y year). How fat i the radiu growing when it i exactly 15 mi? (quare

More information

Answer keys. EAS 1600 Lab 1 (Clicker) Math and Science Tune-up. Note: Students can receive partial credit for the graphs/dimensional analysis.

Answer keys. EAS 1600 Lab 1 (Clicker) Math and Science Tune-up. Note: Students can receive partial credit for the graphs/dimensional analysis. Anwer key EAS 1600 Lab 1 (Clicker) Math and Science Tune-up Note: Student can receive partial credit for the graph/dienional analyi. For quetion 1-7, atch the correct forula (fro the lit A-I below) to

More information

To convert a speed to a velocity. V = Velocity in feet per seconds (ft/sec) S = Speed in miles per hour (mph) = Mathematical Constant

To convert a speed to a velocity. V = Velocity in feet per seconds (ft/sec) S = Speed in miles per hour (mph) = Mathematical Constant To convert a speed to a velocity V S ( 1.466) V Velocity in feet per seconds (ft/sec) S Speed in miles per hour (mph) 1.466 Mathematical Constant Example Your driver just had a rear-end accident and says

More information

Laplace Transformation

Laplace Transformation Univerity of Technology Electromechanical Department Energy Branch Advance Mathematic Laplace Tranformation nd Cla Lecture 6 Page of 7 Laplace Tranformation Definition Suppoe that f(t) i a piecewie continuou

More information

College of Engineering Tutorial Note 3: Chapter 7

College of Engineering Tutorial Note 3: Chapter 7 1 King Saud University CE 431: Highway Engineering College of Engineering Tutorial Note 3: Chapter 7 Civil Engineering Department 7.1 Given Δ = 35, R = 1,350 ft, and the PI station 75 + 8.10, compute the

More information

a = f s,max /m = s g. 4. We first analyze the forces on the pig of mass m. The incline angle is.

a = f s,max /m = s g. 4. We first analyze the forces on the pig of mass m. The incline angle is. Chapter 6 1. The greatet deceleration (of magnitude a) i provided by the maximum friction force (Eq. 6-1, with = mg in thi cae). Uing ewton econd law, we find a = f,max /m = g. Eq. -16 then give the hortet

More information

ME 375 FINAL EXAM Wednesday, May 6, 2009

ME 375 FINAL EXAM Wednesday, May 6, 2009 ME 375 FINAL EXAM Wedneday, May 6, 9 Diviion Meckl :3 / Adam :3 (circle one) Name_ Intruction () Thi i a cloed book examination, but you are allowed three ingle-ided 8.5 crib heet. A calculator i NOT allowed.

More information

Linear Motion, Speed & Velocity

Linear Motion, Speed & Velocity Add Important Linear Motion, Speed & Velocity Page: 136 Linear Motion, Speed & Velocity NGSS Standard: N/A MA Curriculum Framework (006): 1.1, 1. AP Phyic 1 Learning Objective: 3.A.1.1, 3.A.1.3 Knowledge/Undertanding

More information

At the end of this lesson, the students should be able to understand:

At the end of this lesson, the students should be able to understand: Intructional Objective: At the end of thi leon, the tudent hould be able to undertand: Baic failure mechanim of riveted joint. Concept of deign of a riveted joint. 1. Strength of riveted joint: Strength

More information

Constant Force: Projectile Motion

Constant Force: Projectile Motion Contant Force: Projectile Motion Abtract In thi lab, you will launch an object with a pecific initial velocity (magnitude and direction) and determine the angle at which the range i a maximum. Other tak,

More information

MICRO-HYDRO INSTALLATION SIZING CALCULATIONS Jacques Chaurette eng. January 17, 2008

MICRO-HYDRO INSTALLATION SIZING CALCULATIONS Jacques Chaurette eng. January 17, 2008 MICRO-HYDRO INSTALLATION SIZING CALCULATIONS Jacque Chaurette eng. January 7, 008 Calculation for micro-hydro ine jet impact elocity are baed on the ame ort of calculation done for pump ytem, except there

More information

Chapter 13. Root Locus Introduction

Chapter 13. Root Locus Introduction Chapter 13 Root Locu 13.1 Introduction In the previou chapter we had a glimpe of controller deign iue through ome imple example. Obviouly when we have higher order ytem, uch imple deign technique will

More information

Correction for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002

Correction for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002 Correction for Simple Sytem Example and Note on Laplace Tranform / Deviation Variable ECHE 55 Fall 22 Conider a tank draining from an initial height of h o at time t =. With no flow into the tank (F in

More information

Vehicle Dynamics CEE 320. Winter 2006 CEE 320 Steve Muench

Vehicle Dynamics CEE 320. Winter 2006 CEE 320 Steve Muench Vehicle Dynamics Steve Muench Outline 1. Resistance a. Aerodynamic b. Rolling c. Grade. Tractive Effort 3. Acceleration 4. Braking Force 5. Stopping Sight Distance (SSD) Main Concepts Resistance Tractive

More information

Final Comprehensive Exam Physical Mechanics Friday December 15, Total 100 Points Time to complete the test: 120 minutes

Final Comprehensive Exam Physical Mechanics Friday December 15, Total 100 Points Time to complete the test: 120 minutes Final Comprehenive Exam Phyical Mechanic Friday December 15, 000 Total 100 Point Time to complete the tet: 10 minute Pleae Read the Quetion Carefully and Be Sure to Anwer All Part! In cae that you have

More information

Solution to Test #1.

Solution to Test #1. Solution to Tet #. Problem #. Lited below are recorded peed (in mile per hour, mph) of randomly elected car on a ection of Freeway 5 in Lo Angele. Data are orted. 56 58 58 59 60 60 6 6 65 65 65 65 66 66

More information

Lecture 15 - Current. A Puzzle... Advanced Section: Image Charge for Spheres. Image Charge for a Grounded Spherical Shell

Lecture 15 - Current. A Puzzle... Advanced Section: Image Charge for Spheres. Image Charge for a Grounded Spherical Shell Lecture 15 - Current Puzzle... Suppoe an infinite grounded conducting plane lie at z = 0. charge q i located at a height h above the conducting plane. Show in three different way that the potential below

More information

ME 141. Engineering Mechanics

ME 141. Engineering Mechanics ME 141 Engineering Mechanic Lecture 14: Plane motion of rigid bodie: Force and acceleration Ahmad Shahedi Shakil Lecturer, Dept. of Mechanical Engg, BUET E-mail: hakil@me.buet.ac.bd, hakil6791@gmail.com

More information

ECE-320 Linear Control Systems. Spring 2014, Exam 1. No calculators or computers allowed, you may leave your answers as fractions.

ECE-320 Linear Control Systems. Spring 2014, Exam 1. No calculators or computers allowed, you may leave your answers as fractions. ECE-0 Linear Control Sytem Spring 04, Exam No calculator or computer allowed, you may leave your anwer a fraction. All problem are worth point unle noted otherwie. Total /00 Problem - refer to the unit

More information

Newton s Laws & Inclined Planes

Newton s Laws & Inclined Planes GP: ewton Law & Inclined Plane Phyic Mcutt Date: Period: ewton Law & Inclined Plane The ormal orce, Static and Kinetic rictional orce The normal orce i the perpendicular orce that a urace exert on an object.

More information

Physics 2212 G Quiz #2 Solutions Spring 2018

Physics 2212 G Quiz #2 Solutions Spring 2018 Phyic 2212 G Quiz #2 Solution Spring 2018 I. (16 point) A hollow inulating phere ha uniform volume charge denity ρ, inner radiu R, and outer radiu 3R. Find the magnitude of the electric field at a ditance

More information

Midterm Test Nov 10, 2010 Student Number:

Midterm Test Nov 10, 2010 Student Number: Mathematic 265 Section: 03 Verion A Full Name: Midterm Tet Nov 0, 200 Student Number: Intruction: There are 6 page in thi tet (including thi cover page).. Caution: There may (or may not) be more than one

More information

Advanced Smart Cruise Control with Safety Distance Considered Road Friction Coefficient

Advanced Smart Cruise Control with Safety Distance Considered Road Friction Coefficient International Journal of Computer Theory and Engineering, Vol. 8, No. 3, June 06 Advanced Smart Cruie Control with Safety Ditance Conidered Road Friction Coefficient Doui Hong, Chanho Park, Yongho Yoo,

More information

PHYSICS LAB Experiment 5 Fall 2004 FRICTION

PHYSICS LAB Experiment 5 Fall 2004 FRICTION FRICTION In thi experiment we will meaure the effect of friction on the motion of a body in contact with a particular urface. When a body lide or roll over another, it motion i oppoed by the force of friction

More information

EF 151 Final Exam, Spring, 2009 Page 2 of 10. EF 151 Final Exam, Spring, 2009 Page 1 of 10. Name: Section: sina ( ) ( )( ) 2. a b c = = cosc.

EF 151 Final Exam, Spring, 2009 Page 2 of 10. EF 151 Final Exam, Spring, 2009 Page 1 of 10. Name: Section: sina ( ) ( )( ) 2. a b c = = cosc. EF 5 Final Exam, Spring, 9 Page of EF 5 Final Exam, Spring, 9 Page of Name: Section: Guideline: Aume 3 ignificant figure for all given number unle otherwie tated Show all of your work no work, no credit

More information

Dimensional Analysis A Tool for Guiding Mathematical Calculations

Dimensional Analysis A Tool for Guiding Mathematical Calculations Dimenional Analyi A Tool for Guiding Mathematical Calculation Dougla A. Kerr Iue 1 February 6, 2010 ABSTRACT AND INTRODUCTION In converting quantitie from one unit to another, we may know the applicable

More information

s s 1 s = m s 2 = 0; Δt = 1.75s; a =? mi hr

s s 1 s = m s 2 = 0; Δt = 1.75s; a =? mi hr Flipping Phyic Lecture Note: Introduction to Acceleration with Priu Brake Slaing Exaple Proble a Δv a Δv v f v i & a t f t i Acceleration: & flip the guy and ultiply! Acceleration, jut like Diplaceent

More information

MATH 251 Examination II April 6, 2015 FORM A. Name: Student Number: Section:

MATH 251 Examination II April 6, 2015 FORM A. Name: Student Number: Section: MATH 251 Examination II April 6, 2015 FORM A Name: Student Number: Section: Thi exam ha 12 quetion for a total of 100 point. In order to obtain full credit for partial credit problem, all work mut be hown.

More information

1 Routh Array: 15 points

1 Routh Array: 15 points EE C28 / ME34 Problem Set 3 Solution Fall 2 Routh Array: 5 point Conider the ytem below, with D() k(+), w(t), G() +2, and H y() 2 ++2 2(+). Find the cloed loop tranfer function Y () R(), and range of k

More information

Unit I Review Worksheet Key

Unit I Review Worksheet Key Unit I Review Workheet Key 1. Which of the following tatement about vector and calar are TRUE? Anwer: CD a. Fale - Thi would never be the cae. Vector imply are direction-conciou, path-independent quantitie

More information

Problem Set 8 Solutions

Problem Set 8 Solutions Deign and Analyi of Algorithm April 29, 2015 Maachuett Intitute of Technology 6.046J/18.410J Prof. Erik Demaine, Srini Devada, and Nancy Lynch Problem Set 8 Solution Problem Set 8 Solution Thi problem

More information

MAE140 Linear Circuits Fall 2012 Final, December 13th

MAE140 Linear Circuits Fall 2012 Final, December 13th MAE40 Linear Circuit Fall 202 Final, December 3th Intruction. Thi exam i open book. You may ue whatever written material you chooe, including your cla note and textbook. You may ue a hand calculator with

More information

1. /25 2. /30 3. /25 4. /20 Total /100

1. /25 2. /30 3. /25 4. /20 Total /100 Circuit Exam 2 Spring 206. /25 2. /30 3. /25 4. /20 Total /00 Name Pleae write your name at the top of every page! Note: ) If you are tuck on one part of the problem, chooe reaonable value on the following

More information

Suggested Answers To Exercises. estimates variability in a sampling distribution of random means. About 68% of means fall

Suggested Answers To Exercises. estimates variability in a sampling distribution of random means. About 68% of means fall Beyond Significance Teting ( nd Edition), Rex B. Kline Suggeted Anwer To Exercie Chapter. The tatitic meaure variability among core at the cae level. In a normal ditribution, about 68% of the core fall

More information

March 18, 2014 Academic Year 2013/14

March 18, 2014 Academic Year 2013/14 POLITONG - SHANGHAI BASIC AUTOMATIC CONTROL Exam grade March 8, 4 Academic Year 3/4 NAME (Pinyin/Italian)... STUDENT ID Ue only thee page (including the back) for anwer. Do not ue additional heet. Ue of

More information

Halliday/Resnick/Walker 7e Chapter 6

Halliday/Resnick/Walker 7e Chapter 6 HRW 7e Chapter 6 Page of Halliday/Renick/Walker 7e Chapter 6 3. We do not conider the poibility that the bureau might tip, and treat thi a a purely horizontal motion problem (with the peron puh F in the

More information

Highway Capacity Manual 2010

Highway Capacity Manual 2010 RR = minimum number of lane change that mut be made by one ramp-toramp ehicle to execute the deired maneuer uccefully. MIN for two-ided weaing egment i gien by Equation 12-3: MIN RR For two-ided weaing

More information

DIFFERENTIAL EQUATIONS

DIFFERENTIAL EQUATIONS DIFFERENTIAL EQUATIONS Laplace Tranform Paul Dawkin Table of Content Preface... Laplace Tranform... Introduction... The Definition... 5 Laplace Tranform... 9 Invere Laplace Tranform... Step Function...4

More information

The Study of the Kinematic Parameters of a Vehicle Using the Accelerometer of a Smartphone

The Study of the Kinematic Parameters of a Vehicle Using the Accelerometer of a Smartphone The Study of the Kinematic Parameter of a Vehicle Uing the Accelerometer of a Smartphone Marin Oprea Faculty of Phyic, Univerity of Bucharet, Bucharet-Magurele, Romania E-mail: opreamarin007@yahoo.com

More information

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation

More information

6. KALMAN-BUCY FILTER

6. KALMAN-BUCY FILTER 6. KALMAN-BUCY FILTER 6.1. Motivation and preliminary. A wa hown in Lecture 2, the optimal control i a function of all coordinate of controlled proce. Very often, it i not impoible to oberve a controlled

More information

time? How will changes in vertical drop of the course affect race time? How will changes in the distance between turns affect race time?

time? How will changes in vertical drop of the course affect race time? How will changes in the distance between turns affect race time? Unit 1 Leon 1 Invetigation 1 Think About Thi Situation Name: Conider variou port that involve downhill racing. Think about the factor that decreae or increae the time it take to travel from top to bottom.

More information

EE Control Systems LECTURE 14

EE Control Systems LECTURE 14 Updated: Tueday, March 3, 999 EE 434 - Control Sytem LECTURE 4 Copyright FL Lewi 999 All right reerved ROOT LOCUS DESIGN TECHNIQUE Suppoe the cloed-loop tranfer function depend on a deign parameter k We

More information

3pt3pt 3pt3pt0pt 1.5pt3pt3pt Honors Physics Impulse-Momentum Theorem. Name: Answer Key Mr. Leonard

3pt3pt 3pt3pt0pt 1.5pt3pt3pt Honors Physics Impulse-Momentum Theorem. Name: Answer Key Mr. Leonard 3pt3pt 3pt3pt0pt 1.5pt3pt3pt Honor Phyic Impule-Momentum Theorem Spring, 2017 Intruction: Complete the following workheet. Show all of you work. Name: Anwer Key Mr. Leonard 1. A 0.500 kg ball i dropped

More information

h CIVIL ENGINEERING FLUID MECHANICS section. ± G = percent grade divided by 100 (uphill grade "+")

h CIVIL ENGINEERING FLUID MECHANICS section. ± G = percent grade divided by 100 (uphill grade +) FLUID MECHANICS section. TRANSPORTATION U.S. Customary Units a = deceleration rate (ft/sec ) A = absolute value of algebraic difference in grades (%) e = superelevation (%) f = side friction factor ± G

More information

Frictional Forces. Friction has its basis in surfaces that are not completely smooth: 1/29

Frictional Forces. Friction has its basis in surfaces that are not completely smooth: 1/29 Frictional Force Friction ha it bai in urface that are not completely mooth: 1/29 Microcopic Friction Surface Roughne Adheion Magnified ection of a polihed teel urface howing urface irregularitie about

More information

IEOR 3106: Fall 2013, Professor Whitt Topics for Discussion: Tuesday, November 19 Alternating Renewal Processes and The Renewal Equation

IEOR 3106: Fall 2013, Professor Whitt Topics for Discussion: Tuesday, November 19 Alternating Renewal Processes and The Renewal Equation IEOR 316: Fall 213, Profeor Whitt Topic for Dicuion: Tueday, November 19 Alternating Renewal Procee and The Renewal Equation 1 Alternating Renewal Procee An alternating renewal proce alternate between

More information

( kg) (410 m/s) 0 m/s J. W mv mv m v v. 4 mv

( kg) (410 m/s) 0 m/s J. W mv mv m v v. 4 mv PHYS : Solution to Chapter 6 Home ork. RASONING a. The work done by the gravitational orce i given by quation 6. a = (F co θ). The gravitational orce point downward, oppoite to the upward vertical diplacement

More information

1 + x 2 d dx (sec 1 x) =

1 + x 2 d dx (sec 1 x) = Page This exam has: 8 multiple choice questions worth 4 points each. hand graded questions worth 4 points each. Important: No graphing calculators! Any non-graphing, non-differentiating, non-integrating

More information

Lecture Notes II. As the reactor is well-mixed, the outlet stream concentration and temperature are identical with those in the tank.

Lecture Notes II. As the reactor is well-mixed, the outlet stream concentration and temperature are identical with those in the tank. Lecture Note II Example 6 Continuou Stirred-Tank Reactor (CSTR) Chemical reactor together with ma tranfer procee contitute an important part of chemical technologie. From a control point of view, reactor

More information

Problem 1. Construct a filtered probability space on which a Brownian motion W and an adapted process X are defined and such that

Problem 1. Construct a filtered probability space on which a Brownian motion W and an adapted process X are defined and such that Stochatic Calculu Example heet 4 - Lent 5 Michael Tehranchi Problem. Contruct a filtered probability pace on which a Brownian motion W and an adapted proce X are defined and uch that dx t = X t t dt +

More information

Cumulative Review of Calculus

Cumulative Review of Calculus Cumulative Review of Calculu. Uing the limit definition of the lope of a tangent, determine the lope of the tangent to each curve at the given point. a. f 5,, 5 f,, f, f 5,,,. The poition, in metre, of

More information

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation

More information

Comparing Means: t-tests for Two Independent Samples

Comparing Means: t-tests for Two Independent Samples Comparing ean: t-tet for Two Independent Sample Independent-eaure Deign t-tet for Two Independent Sample Allow reearcher to evaluate the mean difference between two population uing data from two eparate

More information

EXAM 4 -A2 MATH 261: Elementary Differential Equations MATH 261 FALL 2010 EXAMINATION COVER PAGE Professor Moseley

EXAM 4 -A2 MATH 261: Elementary Differential Equations MATH 261 FALL 2010 EXAMINATION COVER PAGE Professor Moseley EXAM 4 -A MATH 6: Elementary Differential Equation MATH 6 FALL 00 EXAMINATION COVER PAGE Profeor Moeley PRINT NAME ( ) Lat Name, Firt Name MI (What you wih to be called) ID # EXAM DATE Friday, Nov. 9,

More information

Clustering Methods without Given Number of Clusters

Clustering Methods without Given Number of Clusters Clutering Method without Given Number of Cluter Peng Xu, Fei Liu Introduction A we now, mean method i a very effective algorithm of clutering. It mot powerful feature i the calability and implicity. However,

More information

Fair Game Review. Chapter 6 A B C D E Complete the number sentence with <, >, or =

Fair Game Review. Chapter 6 A B C D E Complete the number sentence with <, >, or = Name Date Chapter 6 Fair Game Review Complete the number entence with , or =. 1..4.45. 6.01 6.1..50.5 4. 0.84 0.91 Find three decimal that make the number entence true. 5. 5. 6..65 > 7..18 8. 0.0

More information

CS 170: Midterm Exam II University of California at Berkeley Department of Electrical Engineering and Computer Sciences Computer Science Division

CS 170: Midterm Exam II University of California at Berkeley Department of Electrical Engineering and Computer Sciences Computer Science Division 1 1 April 000 Demmel / Shewchuk CS 170: Midterm Exam II Univerity of California at Berkeley Department of Electrical Engineering and Computer Science Computer Science Diviion hi i a cloed book, cloed calculator,

More information

Department of Mechanical Engineering Massachusetts Institute of Technology Modeling, Dynamics and Control III Spring 2002

Department of Mechanical Engineering Massachusetts Institute of Technology Modeling, Dynamics and Control III Spring 2002 Department of Mechanical Engineering Maachuett Intitute of Technology 2.010 Modeling, Dynamic and Control III Spring 2002 SOLUTIONS: Problem Set # 10 Problem 1 Etimating tranfer function from Bode Plot.

More information

Notes on the geometry of curves, Math 210 John Wood

Notes on the geometry of curves, Math 210 John Wood Baic definition Note on the geometry of curve, Math 0 John Wood Let f(t be a vector-valued function of a calar We indicate thi by writing f : R R 3 and think of f(t a the poition in pace of a particle

More information

UNITS FOR THERMOMECHANICS

UNITS FOR THERMOMECHANICS UNITS FOR THERMOMECHANICS 1. Conitent Unit. Every calculation require a conitent et of unit. Hitorically, one et of unit wa ued for mechanic and an apparently unrelated et of unit wa ued for heat. For

More information

3. In an interaction between two objects, each object exerts a force on the other. These forces are equal in magnitude and opposite in direction.

3. In an interaction between two objects, each object exerts a force on the other. These forces are equal in magnitude and opposite in direction. Lecture quiz toda. Small change to webite. Problem 4.30 the peed o the elevator i poitive even though it i decending. The WebAign anwer i wrong. ewton Law o Motion (page 9-99) 1. An object velocit vector

More information

303b Reducing the impact (Accelerometer & Light gate)

303b Reducing the impact (Accelerometer & Light gate) Senor: Logger: Accelerometer High g, Light gate Any EASYSENSE capable of fat logging Science in Sport Logging time: 1 econd 303b Reducing the impact (Accelerometer & Light gate) Read In many porting activitie

More information

Collision Planar Impact Analysis

Collision Planar Impact Analysis Colliion Planar Impact Analyi Thi colliion model i baed on the Planar Impact Mechanic Model (PIM) of Raymond M. Brach. The PIM model i a time forward calculation that input linear and angular velocite

More information

ArmorFlex Design Manual ABRIDGED VERSION Design Manual for ArmorFlex Articulating Concrete Blocks

ArmorFlex Design Manual ABRIDGED VERSION Design Manual for ArmorFlex Articulating Concrete Blocks Armorlex eign Manual ABRIGE VERSION 00 eign Manual for Armorlex Articulating Concrete Block . INTROUCTION Thi document i an abridged verion of the full Armorlex eign Manual, available from Armortec. Thi

More information

PHYS 110B - HW #6 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased

PHYS 110B - HW #6 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased PHYS B - HW #6 Spring 4, Solution by David Pace Any referenced equation are from Griffith Problem tatement are paraphraed. Problem. from Griffith Show that the following, A µo ɛ o A V + A ρ ɛ o Eq..4 A

More information

WELL-POSEDNESS OF A ONE-DIMENSIONAL PLASMA MODEL WITH A HYPERBOLIC FIELD

WELL-POSEDNESS OF A ONE-DIMENSIONAL PLASMA MODEL WITH A HYPERBOLIC FIELD WELL-POSEDNESS OF A ONE-DIMENSIONAL PLASMA MODEL WITH A HYPERBOLIC FIELD JENNIFER RAE ANDERSON 1. Introduction A plama i a partially or completely ionized ga. Nearly all (approximately 99.9%) of the matter

More information

Question 1 Equivalent Circuits

Question 1 Equivalent Circuits MAE 40 inear ircuit Fall 2007 Final Intruction ) Thi exam i open book You may ue whatever written material you chooe, including your cla note and textbook You may ue a hand calculator with no communication

More information

SKAA 1213 Engineering Mechanics

SKAA 1213 Engineering Mechanics SKAA 113 Engineering Mechanic TOPIC 8 KINEMATIC OF PARTICLES Lecturer: Roli Anang Dr. Mohd Yunu Ihak Dr. Tan Cher Siang Outline Introduction Rectilinear Motion Curilinear Motion Problem Introduction General

More information

Homework 12 Solution - AME30315, Spring 2013

Homework 12 Solution - AME30315, Spring 2013 Homework 2 Solution - AME335, Spring 23 Problem :[2 pt] The Aerotech AGS 5 i a linear motor driven XY poitioning ytem (ee attached product heet). A friend of mine, through careful experimentation, identified

More information

MCB4UW Handout 4.11 Related Rates of Change

MCB4UW Handout 4.11 Related Rates of Change MCB4UW Handout 4. Related Rate of Change. Water flow into a rectangular pool whoe dimenion are m long, 8 m wide, and 0 m deep. If water i entering the pool at the rate of cubic metre per econd (hint: thi

More information

Homework #7 Solution. Solutions: ΔP L Δω. Fig. 1

Homework #7 Solution. Solutions: ΔP L Δω. Fig. 1 Homework #7 Solution Aignment:. through.6 Bergen & Vittal. M Solution: Modified Equation.6 becaue gen. peed not fed back * M (.0rad / MW ec)(00mw) rad /ec peed ( ) (60) 9.55r. p. m. 3600 ( 9.55) 3590.45r.

More information

Practice Midterm #1 Solutions. Physics 6A

Practice Midterm #1 Solutions. Physics 6A Practice Midter # Solution Phyic 6A . You drie your car at a peed of 4 k/ for hour, then low down to k/ for the next k. How far did you drie, and what wa your aerage peed? We can draw a iple diagra with

More information

= s = 3.33 s s. 0.3 π 4.6 m = rev = π 4.4 m. (3.69 m/s)2 = = s = π 4.8 m. (5.53 m/s)2 = 5.

= s = 3.33 s s. 0.3 π 4.6 m = rev = π 4.4 m. (3.69 m/s)2 = = s = π 4.8 m. (5.53 m/s)2 = 5. Seat: PHYS 500 (Fall 0) Exa #, V 5 pt. Fro book Mult Choice 8.6 A tudent lie on a very light, rigid board with a cale under each end. Her feet are directly over one cale and her body i poitioned a hown.

More information

Math Skills. Scientific Notation. Uncertainty in Measurements. Appendix A5 SKILLS HANDBOOK

Math Skills. Scientific Notation. Uncertainty in Measurements. Appendix A5 SKILLS HANDBOOK ppendix 5 Scientific Notation It i difficult to work with very large or very mall number when they are written in common decimal notation. Uually it i poible to accommodate uch number by changing the SI

More information

ME 315 Exam 3 8:00-9:00 PM Thursday, April 16, 2009 CIRCLE YOUR DIVISION

ME 315 Exam 3 8:00-9:00 PM Thursday, April 16, 2009 CIRCLE YOUR DIVISION ME 315 Exam 3 8:00-9:00 PM Thurday, Aril 16, 009 Thi i a cloed-book, cloed-note examination. There i a formula heet at the back. You mut turn off all communication device before tarting thi exam, and leave

More information

CHAPTER 6. Estimation

CHAPTER 6. Estimation CHAPTER 6 Etimation Definition. Statitical inference i the procedure by which we reach a concluion about a population on the bai of information contained in a ample drawn from that population. Definition.

More information

Regression. What is regression? Linear Regression. Cal State Northridge Ψ320 Andrew Ainsworth PhD

Regression. What is regression? Linear Regression. Cal State Northridge Ψ320 Andrew Ainsworth PhD Regreion Cal State Northridge Ψ30 Andrew Ainworth PhD What i regreion? How do we predict one variable from another? How doe one variable change a the other change? Caue and effect Linear Regreion A technique

More information

Physics 220. Exam #1. April 22, 2016

Physics 220. Exam #1. April 22, 2016 Phyic 0 Exam #1 April, 016 Name Pleae read and follow thee intruction carefully: Read all problem carefully before attempting to olve them. Your work mut be legible, and the organization clear. You mut

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Final Exam Review - Math 2412 Fall 2013 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the term indicated in the expansion. 1) (x + 3y)11;

More information

Gain and Phase Margins Based Delay Dependent Stability Analysis of Two- Area LFC System with Communication Delays

Gain and Phase Margins Based Delay Dependent Stability Analysis of Two- Area LFC System with Communication Delays Gain and Phae Margin Baed Delay Dependent Stability Analyi of Two- Area LFC Sytem with Communication Delay Şahin Sönmez and Saffet Ayaun Department of Electrical Engineering, Niğde Ömer Halidemir Univerity,

More information