Atmospheric Dynamics 11:670:324. Class Time: Tuesdays and Fridays 9:15-10:35
|
|
- Brittney Gregory
- 5 years ago
- Views:
Transcription
1 Amospheric Dnamics 11:67:324 Class ime: esdas and Fridas 9:15-1:35 Insrcors: Dr. Anhon J. Broccoli (ENR Dr. Benjamin Linner (ENR As: Websie: ebook: Jenn Kaka Ma Ninik Amospheric Dnamics Sp13 on Sakai (sakai.rgers.ed Marin Mid-Laide Amospheric Dnamics Wile. Grading Qi (mahemaical mehods inclding ecor analsis: 5% Homework problems: 15% GEMPAK eercises: 15% Firs horl eam: 2% Second horl eam: 2% Final eam: 25% 1
2 Wha Are Dnamics? Deiniion: he sd o amospheric and oceanic moions wih emphasis on he phsical laws ha goern sch moions. Corse Objecies o la a mahemaical and heoreical ondaion o be sed in laer applicaions. o appl he laws goerning lid moion (laws o hdrodnamics and hermodnamics o he amosphere in order o ndersand and predic is behaior. o share wih o he eciemen o how mahemaics can be sed o describe wha occrs in he real world. 2
3 Learning Goals Deelop a concepal ndersanding o amospheric dnamical processes. Maser he ondaional mahemaical and phsical principles o amospheric dnamics. Appl he concepal ndersanding and mahemaical and phsical principles o sole problems. Use specialied soware o anale real-ime and hisorical meeorological daa. Basic Laws Conseraion o mass (conini eqaion Conseraion o energ (1 s law o hermodnamics Conseraion o energ (1 s law o hermodnamics Newon s 1 s Law (no reslan orce no change in moion Newon s 2 nd Law (rae o change o moion o a bod is proporional o reslan orce acing on i Conseraion o anglar momenm Newon s Law o Graiaion Ideal Gas Law (eqaion o sae 3
4 Coordinae Ssems o describe he locaion in space o a poin in a lid a coordinae ssem is sed. A commonl sed coordinae ssem is he recanglar or ssem (also known as Caresian. ( Recanglar coordinaes are oen sed o describe moions o he amosphere or ocean een hogh he earh is a sphere. In so doing one assmes ha he - plane is angen o he srace o he spherical earh. General conenion or se o recanglar coordinaes: is a measre o disance rom some origin and increases oward he eas. is a measre o disance rom some origin and increases oward he norh. is ero a srace o earh and increases pward. 4
5 Fndamenal Mahemaical Conceps and Operaions Fndamenal sae ariables sch as wind speed emperare and pressre are ncions o (i.e. depend pon he independen ariables (. For eample amospheric pressre can be epressed as a ncion o space and ime: P P ( Assme Δ he qoien Deriaies represens a small disance in he direcion. Δ Δ he deriaie o a ncion Δ represens he slope. d d lim Δ ( is deined as ( Δ Δ ( In he limi (as goes o his becomes he slope a a poin and his is he deriaie ( or he gradien or rae o change. d d 5
6 6 Parial Deriaies Wih sandard deriaies or ncion aried in one dimension. Howeer some ariables sch as emperare ar no onl in ime ( b also in space: he parial deriaie o wih respec o will ell s how as changes as we moe in he direcion and is deined as ollows: ( ( Δ Δ Δ ( lim Similarl ( Δ Δ Δ ( lim Chain Rle O Diereniaion Assme: hen: ( ( (
7 More Ideniies ( Order o parial diereniaion does no maer. 2 2 ( ln 1 Epansion o oal Deriaie I ( hen d B d d d d w d d wes-eas componen o lid eloci soh-norh componen o lid eloci w erical componen o lid eloci 7
8 w d d d d Eler s relaion (epansion o oal deriaie: d A d B w w C D E erm A: Local rae o change o a a ied locaion erm B: oal rae o change o ollowing he lid moion erm C: Adecion o in direcion b he -componen low erm D: Adecion o in direcion b he -componen low erm E: Adecion o in direcion b he -componen low oal Deriaie s. Local Deriaie oal deriaie is he emporal rae o change ollowing he lid moion. Eample: A hermomeer measring changes as a balloon loas hrogh he amosphere. d Local deriaie is he emporal rae o change a a ied poin. Eample: An obserer measres changes in emperare a a weaher saion. 8
9 Adecion erms Assme ha hin lines are conors o a scalar qani and hick arrows indicae he lid moion. We wish o ealae he adecion erm low A B C high A poin A: A poin B: A poin C: > > < > < > > ranspor rom low o high: negaie adecion o neral adecion o ranspor rom high o low: posiie adecion o alor Series A ncion ( can be comped b alor epansion gien he ales o he ncion and is deriaies a a poin : ( ( ( ( ( ( n 1 ( n ( ( n n! 2! p ( ( 2 ( ( 3! 3... A rncaed alor series can be sed o approimae (. 9
Dynamics of the Atmosphere 11:670:324. Class Time: Tuesdays and Fridays 9:15-10:35
Dnamics o the Atmosphere 11:67:34 Class Time: Tesdas and Fridas 9:15-1:35 Instrctors: Dr. Anthon J. Broccoli (ENR 9) broccoli@ensci.rtgers.ed 73-93-98 6 Dr. Benjamin Lintner (ENR 5) lintner@ensci.rtgers.ed
More informationME 425: Aerodynamics
ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-7 Fndamenals so Aerodnamics oiqehasan.be.ac.bd oiqehasan@me.be.ac.bd
More informationME 425: Aerodynamics
3/4/18 ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET Dhaka Lecre-6 3/4/18 Fndamenals so Aerodnamics eacher.be.ac.bd/oiqehasan/
More informationME 321: FLUID MECHANICS-I
8/7/18 ME 31: FLUID MECHANICS-I Dr. A.B.M. Toiqe Hasan Proessor Dearmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-13 8/7/18 Dierenial Analsis o Flid Moion
More informationATMS 310 The Vorticity Equation. The Vorticity Equation describes the factors that can alter the magnitude of the absolute vorticity with time.
ATMS 30 The Vorici Eqaion The Vorici Eqaion describes he acors ha can aler he magnide o he absole orici ih ime. Vorici Eqaion in Caresian Coordinaes The (,,,) orm is deried rom he rimiie horional eqaions
More informationChapter 12: Velocity, acceleration, and forces
To Feel a Force Chaper Spring, Chaper : A. Saes of moion For moion on or near he surface of he earh, i is naural o measure moion wih respec o objecs fixed o he earh. The 4 hr. roaion of he earh has a measurable
More informationIntegration of the equation of motion with respect to time rather than displacement leads to the equations of impulse and momentum.
Inegraion of he equaion of moion wih respec o ime raher han displacemen leads o he equaions of impulse and momenum. These equaions greal faciliae he soluion of man problems in which he applied forces ac
More informationOne-Dimensional Kinematics
One-Dimensional Kinemaics One dimensional kinemaics refers o moion along a sraigh line. Een hough we lie in a 3-dimension world, moion can ofen be absraced o a single dimension. We can also describe moion
More informationPhysics Notes - Ch. 2 Motion in One Dimension
Physics Noes - Ch. Moion in One Dimension I. The naure o physical quaniies: scalars and ecors A. Scalar quaniy ha describes only magniude (how much), NOT including direcion; e. mass, emperaure, ime, olume,
More informationPhys 221 Fall Chapter 2. Motion in One Dimension. 2014, 2005 A. Dzyubenko Brooks/Cole
Phys 221 Fall 2014 Chaper 2 Moion in One Dimension 2014, 2005 A. Dzyubenko 2004 Brooks/Cole 1 Kinemaics Kinemaics, a par of classical mechanics: Describes moion in erms of space and ime Ignores he agen
More informationINTERMEDIATE FLUID MECHANICS
INTERMEDIATE FLID MECHANICS Lecre 1: Inrodcion Benoi Cshman-Roisin Thaer School of Engineering Darmoh College Definiion of a Flid As opposed o a solid a flid is a sbsance ha canno resis a shear force iho
More informationKinematics in two dimensions
Lecure 5 Phsics I 9.18.13 Kinemaics in wo dimensions Course websie: hp://facul.uml.edu/andri_danlo/teaching/phsicsi Lecure Capure: hp://echo36.uml.edu/danlo13/phsics1fall.hml 95.141, Fall 13, Lecure 5
More informationMethod of Moment Area Equations
Noe proided b JRR Page-1 Noe proided b JRR Page- Inrodcion ehod of omen rea qaions Perform deformaion analsis of flere-dominaed srcres eams Frames asic ssmpions (on.) No aial deformaion (aiall rigid members)
More informationKinematics: Motion in One Dimension
Kinemaics: Moion in One Dimension When yo drie, yo are spposed o follow he hree-second ailgaing rle. When he car in fron of yo passes a sign a he side of he road, yor car shold be far enogh behind i ha
More informationBe able to sketch a function defined parametrically. (by hand and by calculator)
Pre Calculus Uni : Parameric and Polar Equaions (7) Te References: Pre Calculus wih Limis; Larson, Hoseler, Edwards. B he end of he uni, ou should be able o complee he problems below. The eacher ma provide
More informationMat 267 Engineering Calculus III Updated on 04/30/ x 4y 4z 8x 16y / 4 0. x y z x y. 4x 4y 4z 24x 16y 8z.
Ma 67 Engineering Calcls III Updaed on 04/0/0 r. Firoz Tes solion:. a) Find he cener and radis of he sphere 4 4 4z 8 6 0 z ( ) ( ) z / 4 The cener is a (, -, 0), and radis b) Find he cener and radis of
More informationAP Calculus BC Chapter 10 Part 1 AP Exam Problems
AP Calculus BC Chaper Par AP Eam Problems All problems are NO CALCULATOR unless oherwise indicaed Parameric Curves and Derivaives In he y plane, he graph of he parameric equaions = 5 + and y= for, is a
More informationDetecting Movement SINA 07/08
Deecing Moemen How do we perceie moemen? This is no a simple qesion becase we are neer saionar obserers (ees and head moe An imporan isse is how we discriminae he moion of he eernal world from he moion
More informationTopic 1: Linear motion and forces
TOPIC 1 Topic 1: Linear moion and forces 1.1 Moion under consan acceleraion Science undersanding 1. Linear moion wih consan elociy is described in erms of relaionships beween measureable scalar and ecor
More informationPhysics for Scientists and Engineers. Chapter 2 Kinematics in One Dimension
Physics for Scieniss and Engineers Chaper Kinemaics in One Dimension Spring, 8 Ho Jung Paik Kinemaics Describes moion while ignoring he agens (forces) ha caused he moion For now, will consider moion in
More informationVorticity equation 2. Why did Charney call it PV?
Vorici eqaion Wh i Charne call i PV? The Vorici Eqaion Wan o nersan he rocesses ha roce changes in orici. So erie an eression ha incles he ime eriaie o orici: Sm o orces in irecion Recall ha he momenm
More informationElementary Differential Equations and Boundary Value Problems
Elemenar Differenial Equaions and Boundar Value Problems Boce. & DiPrima 9 h Ediion Chaper 1: Inroducion 1006003 คณ ตศาสตร ว ศวกรรม 3 สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา 1/2555 ผศ.ดร.อร ญญา ผศ.ดร.สมศ
More informationReview Equations. Announcements 9/8/09. Table Tennis
Announcemens 9/8/09 1. Course homepage ia: phsics.bu.edu Class web pages Phsics 105 (Colon J). (Class-wide email sen) Iclicker problem from las ime scores didn ge recorded. Clicker quizzes from lecures
More informationKinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.
Kinemaics Vocabulary Kinemaics and One Dimensional Moion 8.1 WD1 Kinema means movemen Mahemaical descripion of moion Posiion Time Inerval Displacemen Velociy; absolue value: speed Acceleraion Averages
More informationMath 2214 Solution Test 1 B Spring 2016
Mah 14 Soluion Te 1 B Spring 016 Problem 1: Ue eparaion of ariable o ole he Iniial alue DE Soluion (14p) e =, (0) = 0 d = e e d e d = o = ln e d uing u-du b leing u = e 1 e = + where C = for he iniial
More informationDEVIL PHYSICS BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS BADDEST CLASS ON CAMPUS IB PHYSICS LESSON -1C PROJECTILE MOTION FLUID RESISTANCE Inroducion Videos Projecile Moion 1 Useful Applicaions of Projecile Moion Essenial Idea: Moion ma be described
More informationMotion along a Straight Line
chaper 2 Moion along a Sraigh Line verage speed and average velociy (Secion 2.2) 1. Velociy versus speed Cone in he ebook: fer Eample 2. Insananeous velociy and insananeous acceleraion (Secions 2.3, 2.4)
More informationKinematics in two Dimensions
Lecure 5 Chaper 4 Phsics I Kinemaics in wo Dimensions Course websie: hp://facul.uml.edu/andri_danlo/teachin/phsicsi PHYS.141 Lecure 5 Danlo Deparmen of Phsics and Applied Phsics Toda we are oin o discuss:
More informationPhysics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle
Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,
More informationUnit 1 Test Review Physics Basics, Movement, and Vectors Chapters 1-3
A.P. Physics B Uni 1 Tes Reiew Physics Basics, Moemen, and Vecors Chapers 1-3 * In sudying for your es, make sure o sudy his reiew shee along wih your quizzes and homework assignmens. Muliple Choice Reiew:
More informationand v y . The changes occur, respectively, because of the acceleration components a x and a y
Week 3 Reciaion: Chaper3 : Problems: 1, 16, 9, 37, 41, 71. 1. A spacecraf is raveling wih a veloci of v0 = 5480 m/s along he + direcion. Two engines are urned on for a ime of 84 s. One engine gives he
More informationApplications of the Basic Equations Chapter 3. Paul A. Ullrich
Applicaions of he Basic Equaions Chaper 3 Paul A. Ullrich paullrich@ucdavis.edu Par 1: Naural Coordinaes Naural Coordinaes Quesion: Why do we need anoher coordinae sysem? Our goal is o simplify he equaions
More informationLAB # 2 - Equilibrium (static)
AB # - Equilibrium (saic) Inroducion Isaac Newon's conribuion o physics was o recognize ha despie he seeming compleiy of he Unierse, he moion of is pars is guided by surprisingly simple aws. Newon's inspiraion
More informationChapter 5 Kinematics
Chaper 5 Kinemaics In he firs place, wha do we mean b ime and space? I urns ou ha hese deep philosophical quesions have o be analzed ver carefull in phsics, and his is no eas o do. The heor of relaivi
More informationPhysics 101: Lecture 03 Kinematics Today s lecture will cover Textbook Sections (and some Ch. 4)
Physics 101: Lecure 03 Kinemaics Today s lecure will coer Texbook Secions 3.1-3.3 (and some Ch. 4) Physics 101: Lecure 3, Pg 1 A Refresher: Deermine he force exered by he hand o suspend he 45 kg mass as
More information2.1: What is physics? Ch02: Motion along a straight line. 2.2: Motion. 2.3: Position, Displacement, Distance
Ch: Moion along a sraigh line Moion Posiion and Displacemen Average Velociy and Average Speed Insananeous Velociy and Speed Acceleraion Consan Acceleraion: A Special Case Anoher Look a Consan Acceleraion
More informationPHYSICS 149: Lecture 9
PHYSICS 149: Lecure 9 Chaper 3 3.2 Velociy and Acceleraion 3.3 Newon s Second Law of Moion 3.4 Applying Newon s Second Law 3.5 Relaive Velociy Lecure 9 Purdue Universiy, Physics 149 1 Velociy (m/s) The
More informationVelocity is a relative quantity
Veloci is a relaie quani Disenangling Coordinaes PHY2053, Fall 2013, Lecure 6 Newon s Laws 2 PHY2053, Fall 2013, Lecure 6 Newon s Laws 3 R. Field 9/6/2012 Uniersi of Florida PHY 2053 Page 8 Reference Frames
More informationI. OBJECTIVE OF THE EXPERIMENT.
I. OBJECTIVE OF THE EXPERIMENT. Swissmero raels a high speeds hrough a unnel a low pressure. I will hereore undergo ricion ha can be due o: ) Viscosiy o gas (c. "Viscosiy o gas" eperimen) ) The air in
More informationIB Physics Kinematics Worksheet
IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?
More informationTHE THROW MODEL FOR VEHICLE/PEDESTRIAN COLLISIONS INCLUDING ROAD GRADIENT
THE THROW MODEL FOR VEHICLE/PEDESTRIAN COLLISIONS INCLUDING ROAD GRADIENT Leon Bogdanoić B. Eng., Milan Baisa D. Sc. Uniersi of Ljubljana Facul of Mariime Sudies and Transporaion Po pomorščako 4, SI- 63
More informationPage 1 o 13 1. The brighes sar in he nigh sky is α Canis Majoris, also known as Sirius. I lies 8.8 ligh-years away. Express his disance in meers. ( ligh-year is he disance coered by ligh in one year. Ligh
More informationModule 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
More informationPROBLEMS FOR MATH 162 If a problem is starred, all subproblems are due. If only subproblems are starred, only those are due. SLOPES OF TANGENT LINES
PROBLEMS FOR MATH 6 If a problem is sarred, all subproblems are due. If onl subproblems are sarred, onl hose are due. 00. Shor answer quesions. SLOPES OF TANGENT LINES (a) A ball is hrown ino he air. Is
More information3.3 Internal Stress. Cauchy s Concept of Stress
INTERNL TRE 3.3 Inernal ress The idea of sress considered in 3.1 is no difficul o concepualise since objecs ineracing wih oher objecs are encounered all around us. more difficul concep is he idea of forces
More informationPH2130 Mathematical Methods Lab 3. z x
PH130 Mahemaical Mehods Lab 3 This scrip shold keep yo bsy for he ne wo weeks. Yo shold aim o creae a idy and well-srcred Mahemaica Noebook. Do inclde plenifl annoaions o show ha yo know wha yo are doing,
More information1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a
Kinemaics Paper 1 1. The graph below shows he ariaion wih ime of he acceleraion a of an objec from = o = T. a T The shaded area under he graph represens change in A. displacemen. B. elociy. C. momenum.
More informationMain Ideas in Class Today
Main Ideas in Class Toda Inroducion o Falling Appl Consan a Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs Refers o objecs
More informationA B C D September 25 Exam I Physics 105. Circle the letter of the single best answer. Each question is worth 1 point
2012 Sepember 25 Eam I Physics 105 Circle he leer of he single bes answer. Each uesion is worh 1 poin Physical Consans: Earh s free-fall acceleraion = g = 9.80 m/s 2 3. (Mark wo leers!) The below graph
More informationPHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections
PHYSICS 220 Lecure 02 Moion, Forces, and Newon s Laws Texbook Secions 2.2-2.4 Lecure 2 Purdue Universiy, Physics 220 1 Overview Las Lecure Unis Scienific Noaion Significan Figures Moion Displacemen: Δx
More informationEarthquake, Volcano and Tsunami
A. Merapi Volcano Erpion Earhqake, Volcano and Tsnami Qesion Answer Marks A. Using Black s Principle he eqilibrim emperare can be obained Ths,.5 A. For ideal gas, pv e e RTe, hs.3 A.3 The relaive velociy
More informationGiambattista, Ch 3 Problems: 9, 15, 21, 27, 35, 37, 42, 43, 47, 55, 63, 76
Giambaisa, Ch 3 Problems: 9, 15, 21, 27, 35, 37, 42, 43, 47, 55, 63, 76 9. Sraeg Le be direced along he +x-axis and le be 60.0 CCW from Find he magniude of 6.0 B 60.0 4.0 A x 15. (a) Sraeg Since he angle
More information3.6 Derivatives as Rates of Change
3.6 Derivaives as Raes of Change Problem 1 John is walking along a sraigh pah. His posiion a he ime >0 is given by s = f(). He sars a =0from his house (f(0) = 0) and he graph of f is given below. (a) Describe
More informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan
Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure
More informationSpeed and Velocity. Overview. Velocity & Speed. Speed & Velocity. Instantaneous Velocity. Instantaneous and Average
Overview Kinemaics: Descripion of Moion Posiion and displacemen velociy»insananeous acceleraion»insananeous Speed Velociy Speed and Velociy Speed & Velociy Velociy & Speed A physics eacher walks 4 meers
More informationChapter 3 Kinematics in Two Dimensions
Chaper 3 KINEMATICS IN TWO DIMENSIONS PREVIEW Two-dimensional moion includes objecs which are moing in wo direcions a he same ime, such as a projecile, which has boh horizonal and erical moion. These wo
More informationOutline of Topics. Analysis of ODE models with MATLAB. What will we learn from this lecture. Aim of analysis: Why such analysis matters?
of Topics wih MATLAB Shan He School for Compuaional Science Universi of Birmingham Module 6-3836: Compuaional Modelling wih MATLAB Wha will we learn from his lecure Aim of analsis: Aim of analsis. Some
More informationWEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x
WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile
More informationCORRELATION. two variables may be related. SAT scores, GPA hours in therapy, self-esteem grade on homeworks, grade on exams
Inrodcion o Saisics in sychology SY 1 rofessor Greg Francis Lecre 1 correlaion Did I damage my dagher s eyes? CORRELATION wo ariables may be relaed SAT scores, GA hors in herapy, self-eseem grade on homeworks,
More informationCSE 5365 Computer Graphics. Take Home Test #1
CSE 5365 Comper Graphics Take Home Tes #1 Fall/1996 Tae-Hoon Kim roblem #1) A bi-cbic parameric srface is defined by Hermie geomery in he direcion of parameer. In he direcion, he geomery ecor is defined
More informationThe study of the motion of a body along a general curve. û N the unit vector normal to the curve. Clearly, these unit vectors change with time, uˆ
Secion. Curilinear Moion he sudy of he moion of a body along a general cure. We define û he uni ecor a he body, angenial o he cure û he uni ecor normal o he cure Clearly, hese uni ecors change wih ime,
More informations in boxe wers ans Put
Pu answers in boxes Main Ideas in Class Toda Inroducion o Falling Appl Old Equaions Graphing Free Fall Sole Free Fall Problems Pracice:.45,.47,.53,.59,.61,.63,.69, Muliple Choice.1 Freel Falling Objecs
More informationSuggested Practice Problems (set #2) for the Physics Placement Test
Deparmen of Physics College of Ars and Sciences American Universiy of Sharjah (AUS) Fall 014 Suggesed Pracice Problems (se #) for he Physics Placemen Tes This documen conains 5 suggesed problems ha are
More informationClass Notes 1: Introduction. MAE 82 Engineering Mathematics
Class Noes 1: Inroducion MAE 82 Engineering Mahemaics CHANGE Rae of Change Basic Mahemaical Models Man of he principles or laws underling he behavior of he naural world are saemens or relaions involving
More informationNewtonian Relativity
Newonian Relaii A referene frame in whih Newon s laws are alid is alled an inerial frame Newonian priniple of relaii or Galilean inariane If Newon s laws are alid in one referene frame, hen he are also
More informationAcceleration. Part I. Uniformly Accelerated Motion: Kinematics & Geometry
Acceleraion Team: Par I. Uniformly Acceleraed Moion: Kinemaics & Geomery Acceleraion is he rae of change of velociy wih respec o ime: a dv/d. In his experimen, you will sudy a very imporan class of moion
More informationCORRELATION. two variables may be related. SAT scores, GPA hours in therapy, self-esteem grade on homeworks, grade on exams
Inrodcion o Saisics in sychology SY 1 rofessor Greg Francis Lecre 1 correlaion How changes in one ariable correspond o change in anoher ariable. wo ariables may be relaed SAT scores, GA hors in herapy,
More informationEquations of motion for constant acceleration
Lecure 3 Chaper 2 Physics I 01.29.2014 Equaions of moion for consan acceleraion Course websie: hp://faculy.uml.edu/andriy_danylo/teaching/physicsi Lecure Capure: hp://echo360.uml.edu/danylo2013/physics1spring.hml
More informationCourse II. Lesson 7 Applications to Physics. 7A Velocity and Acceleration of a Particle
Course II Lesson 7 Applicaions o Physics 7A Velociy and Acceleraion of a Paricle Moion in a Sraigh Line : Velociy O Aerage elociy Moion in he -ais + Δ + Δ 0 0 Δ Δ Insananeous elociy d d Δ Δ Δ 0 lim [ m/s
More informationMath 221: Mathematical Notation
Mah 221: Mahemaical Noaion Purpose: One goal in any course is o properly use he language o ha subjec. These noaions summarize some o he major conceps and more diicul opics o he uni. Typing hem helps you
More informationKEY. Math 334 Midterm I Fall 2008 sections 001 and 003 Instructor: Scott Glasgow
1 KEY Mah 4 Miderm I Fall 8 secions 1 and Insrucor: Sco Glasgow Please do NOT wrie on his eam. No credi will be given for such work. Raher wrie in a blue book, or on our own paper, preferabl engineering
More informationPhysics for Scientists and Engineers I
Physics for Scieniss and Engineers I PHY 48, Secion 4 Dr. Beariz Roldán Cuenya Universiy of Cenral Florida, Physics Deparmen, Orlando, FL Chaper - Inroducion I. General II. Inernaional Sysem of Unis III.
More informationConcept of Stress at a Point
Washkeic College of Engineering Section : STRONG FORMULATION Concept of Stress at a Point Consider a point ithin an arbitraril loaded deformable bod Define Normal Stress Shear Stress lim A Fn A lim A FS
More informationNumerical Dispersion
eview of Linear Numerical Sabiliy Numerical Dispersion n he previous lecure, we considered he linear numerical sabiliy of boh advecion and diffusion erms when approimaed wih several spaial and emporal
More information10.1 EXERCISES. y 2 t 2. y 1 t y t 3. y e
66 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES SLUTIN We use a graphing device o produce he graphs for he cases a,,.5,.,,.5,, and shown in Figure 7. Noice ha all of hese curves (ecep he case a ) have
More informationCSE-4303/CSE-5365 Computer Graphics Fall 1996 Take home Test
Comper Graphics roblem #1) A bi-cbic parameric srface is defined by Hermie geomery in he direcion of parameer. In he direcion, he geomery ecor is defined by a poin @0, a poin @0.5, a angen ecor @1 and
More informationPhysics 20 Lesson 5 Graphical Analysis Acceleration
Physics 2 Lesson 5 Graphical Analysis Acceleraion I. Insananeous Velociy From our previous work wih consan speed and consan velociy, we know ha he slope of a posiion-ime graph is equal o he velociy of
More informationQ2.4 Average velocity equals instantaneous velocity when the speed is constant and motion is in a straight line.
CHAPTER MOTION ALONG A STRAIGHT LINE Discussion Quesions Q. The speedomeer measures he magniude of he insananeous eloci, he speed. I does no measure eloci because i does no measure direcion. Q. Graph (d).
More informationChapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
More informationChapter 6 Momentum Transfer in an External Laminar Boundary Layer
6. Similarit Soltions Chapter 6 Momentm Transfer in an Eternal Laminar Bondar Laer Consider a laminar incompressible bondar laer with constant properties. Assme the flow is stead and two-dimensional aligned
More informationIntroduction to Physical Oceanography Homework 5 - Solutions
Laure Zanna //5 Inroducion o Phsical Oceanograph Homework 5 - Soluions. Inerial oscillaions wih boom fricion non-selecive scale: The governing equaions for his problem are This ssem can be wrien as where
More informationConservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations
Indian Jornal of Science and Technology Vol 8( 78 84 Janary 05 ISSN (Prin : 0974-84 ISSN (Online : 0974-545 DOI : 0.7485/ijs/05/8i/47809 Conseraion Laws and Hamilonian Symmeries of Whiham-Broer-Kap Eqaions
More informationOptimal Control. Lecture 5. Prof. Daniela Iacoviello
Opimal Conrol ecre 5 Pro. Daniela Iacoviello THESE SIDES ARE NOT SUFFICIENT FOR THE EXAM: YOU MUST STUDY ON THE BOOKS Par o he slides has been aken rom he Reerences indicaed below Pro. D.Iacoviello - Opimal
More informationIntroduction to Bayesian Estimation. McGill COMP 765 Sept 12 th, 2017
Inrodcion o Baesian Esimaion McGill COM 765 Sep 2 h 207 Where am I? or firs core problem Las class: We can model a robo s moions and he world as spaial qaniies These are no perfec and herefore i is p o
More informationdp dt For the time interval t, approximately, we can write,
PHYSICS OCUS 58 So far we hae deal only wih syses in which he oal ass of he syse, sys, reained consan wih ie. Now, we will consider syses in which ass eners or leaes he syse while we are obsering i. The
More informationMath 2214 Solution Test 1A Spring 2016
Mah 14 Soluion Tes 1A Spring 016 sec Problem 1: Wha is he larges -inerval for which ( 4) = has a guaraneed + unique soluion for iniial value (-1) = 3 according o he Exisence Uniqueness Theorem? Soluion
More informationMA Study Guide #1
MA 66 Su Guide #1 (1) Special Tpes of Firs Order Equaions I. Firs Order Linear Equaion (FOL): + p() = g() Soluion : = 1 µ() [ ] µ()g() + C, where µ() = e p() II. Separable Equaion (SEP): dx = h(x) g()
More informationa. Show that these lines intersect by finding the point of intersection. b. Find an equation for the plane containing these lines.
Mah A Final Eam Problems for onsideraion. Show all work for credi. Be sure o show wha you know. Given poins A(,,, B(,,, (,, 4 and (,,, find he volume of he parallelepiped wih adjacen edges AB, A, and A.
More information!!"#"$%&#'()!"#&'(*%)+,&',-)./0)1-*23)
"#"$%&#'()"#&'(*%)+,&',-)./)1-*) #$%&'()*+,&',-.%,/)*+,-&1*#$)()5*6$+$%*,7&*-'-&1*(,-&*6&,7.$%$+*&%'(*8$&',-,%'-&1*(,-&*6&,79*(&,%: ;..,*&1$&$.$%&'()*1$$.,'&',-9*(&,%)?%*,('&5
More informationPrimary dependent variable is fluid velocity vector V = V ( r ); where r is the position vector
Chapter 4: Flids Kinematics 4. Velocit and Description Methods Primar dependent ariable is flid elocit ector V V ( r ); where r is the position ector If V is known then pressre and forces can be determined
More informationClass Meeting # 10: Introduction to the Wave Equation
MATH 8.5 COURSE NOTES - CLASS MEETING # 0 8.5 Inroducion o PDEs, Fall 0 Professor: Jared Speck Class Meeing # 0: Inroducion o he Wave Equaion. Wha is he wave equaion? The sandard wave equaion for a funcion
More informationLecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.
Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in
More informationAcceleration. Part I. Uniformly Accelerated Motion: Kinematics & Geometry
Acceleraion Team: Par I. Uniformly Acceleraed Moion: Kinemaics & Geomery Acceleraion is he rae of change of velociy wih respec o ime: a dv/d. In his experimen, you will sudy a very imporan class of moion
More informationTraveling Waves. Chapter Introduction
Chaper 4 Traveling Waves 4.1 Inroducion To dae, we have considered oscillaions, i.e., periodic, ofen harmonic, variaions of a physical characerisic of a sysem. The sysem a one ime is indisinguishable from
More informationObjectives. To develop the principle of linear impulse and momentum for a particle. To study the conservation of linear momentum for
Impulse & Momenum Objecies To deelop he principle of linear impulse and momenum for a paricle. To sudy he conseraion of linear momenum for paricles. To analyze he mechanics of impac. To inroduce he concep
More informationNEWTON S SECOND LAW OF MOTION
Course and Secion Dae Names NEWTON S SECOND LAW OF MOTION The acceleraion of an objec is defined as he rae of change of elociy. If he elociy changes by an amoun in a ime, hen he aerage acceleraion during
More informationCheck in: 1 If m = 2(x + 1) and n = find y when. b y = 2m n 2
7 Parameric equaions This chaer will show ou how o skech curves using heir arameric equaions conver arameric equaions o Caresian equaions find oins of inersecion of curves and lines using arameric equaions
More informationTheory of! Partial Differential Equations!
hp://www.nd.edu/~gryggva/cfd-course/! Ouline! Theory o! Parial Dierenial Equaions! Gréar Tryggvason! Spring 011! Basic Properies o PDE!! Quasi-linear Firs Order Equaions! - Characerisics! - Linear and
More informationLesson 3.1 Recursive Sequences
Lesson 3.1 Recursive Sequences 1) 1. Evaluae he epression 2(3 for each value of. a. 9 b. 2 c. 1 d. 1 2. Consider he sequence of figures made from riangles. Figure 1 Figure 2 Figure 3 Figure a. Complee
More information