Doppler Effect. wavelength
|
|
- Abigayle Norris
- 7 years ago
- Views:
Transcription
1 Dopple Eet The Dopple Eet i the hange in the obeed equeny o a oue due to the elatie motion between the oue and the eeie. The elatie motion that aet the obeed equeny i only the motion in the Line-O-Sight (LOS) between the oue and the eeie. Relatie motion o the eeie. I a oue i tationay, a the one below, it will emit ound wae that popagate out om the oue a hown below. A the eeie moe elatie motion o eeie LOS waelength towad the oue, it will detet the ound oming om the oue but eah ueie ound wae will be deteted ealie than it would hae i the eeie wee tationay, due to the motion o the eeie in the LOS. Thu the equeny that eah ueie wae ont would be deteted would be hanged by thi elatie motion whee: = λ λ i the oiginal waelength o the oue i the hange in the obeed equeny i the eloity o the eiee in the LOS Sine the oiginal equeny o the oue an be expeed in tem o the waelength whee =, the obeed equeny beome: λ = + = + λ λ + = Note that thi equation only wok i the elatie eloity o the eeie, i towad the oue. I the motion i away om the oue, the elatie eloity would be in the oppoite dietion and the equation would beome: 19-1
2 = The two equation ae uually ombined and expeed a: = Relatie motion o the oue I the oue i moing towad the eeie, the eet i lightly dieent. The paing between the ueie wae ont would be le a een in the diagam below. Thi would be expeed a: λ = i the elatie eloity o the oue To alulate the obeed equeny: = λ + λ ( ) = Note that thi i only when the oue i moing towad the eeie. I the oue i moing away, the equation would be hanged to: = + motion o oue When ombined with the peiou eult, the equation would be expeed a: = m Notie that thi time, the plu/minu ymbol i ineted beaue the ign on top i to be ued o elatie motion o the oue towad the eeie. 19-2
3 Dopple Equation By ombining the peiou eult, we an deie one equation to ue a the Dopple Equation. Thi i uually expeed a: = m The tudent mut be aeul that the quantitie o the eloity o the eeie,, and the eloity o the oue,, ae only the magnitude o the elatie eloitie in (o along) the LOS. In othe wod, the omponent o the eloity o the oue and the eeie, that ae pependiula to the LOS do not hange the eeied equeny. Seondly, the top ign in the numeato and the denominato ae the ign onention to be ued when the elatie eloitie ae towad the othe. I the oue wee moing towad the eeie, the ign to ue in the denominato would be the minu ign. I the oue wee moing away om the eeie, the ign to ue would be the plu ign. Atie Sona Poblem One inteeting Dopple poblem i the atie ona poblem. In thi poblem, one mut deine a oue and eeie o both the outgoing atie pule and the etuning ignal. Fo the outgoing atie pule, the Dopple hited equeny o the atie pule when it hit the taget would be: = m Fo the etun pule, thee would be a imila hit but now the oue would be the taget, the eeie would be the hip ending out the oiginal atie pule and the bae equeny, would be the Dopple hited equeny om aboe. I we edeine the eloity o the taget a, t, and the eloity o the oue o the atie pulea, we get: = m t Subtituting in the equation om aboe o and hanging the ubipt o the appopiate tem: t ± = m mt Again, the eloitie ae only the magnitude o the eloity in the LOS and one mut take ae to pik the oet ign to ue in ont o eah eloity. 19-3
4 Poblem: 1. A uae hip i taeling on a oue o 45 T and i onduting an atie ona eah. The ona equeny i 4 khz. At the ame time a ubmaine i loated on a beaing o 6 T om the uae hip. The ubmaine i taeling due noth ( τ at a peed o 1 kt. The uae hip i taeling at 15 kt. (Ueul inomation: =295 kt) a) What i the equeny that the ubmaine eeie? b) What i the equeny o the atie etun om the ubmaine? ) I the ubmaine emit a tong tonal at 415 Hz, what i the equeny eeied at the uae hip? d) Auming that thee i a lage hool o himp nea the ubmaine, what i the equeny o the atie etun om the hool o himp? (Aume that the himp ae not moing.) 2. A US ubmaine i tailing a new Aghani dieel ubmaine to gain tonal intelligene on the Aghani ub. Both ub wee going 5 knot on oue noth when the Aghani ub tun due wet. a) I the tonal the US ub wa oiginally taking wa 25Hz, what i the eeied equeny ate the Aghani ub tun? b) I the US ub goe atie with a equeny o 18, Hz to get an exat ange on the Aghani ub, what i the equeny o the eeied etun? 3. A ound oue emit a ound equeny o 1 Hz on a day when the peed o ound in ai i 34 m/ and thee i no wind. What i the equeny you will eeie i: a) You moe towad the oue at 34 m/? b) You ae tationay and the oue moe towad you at 34 m/? ) Repeat pat a) with a peed o 68 m/ intead o 34 m/. d) Repeat pat b) with a peed o 68 m/ intead o 34 m/. 4. Two ubmaine ae moing a hown in the igue, whee the peed ae in knot. The peed o ound in knot i 2912 kt. Sub A i pinging on B with an atie ona equeny o 1 khz. 1 kt 3 kt a) What equeny will Beeie om A ona? b) What i the equeny o the eho A eeie om B? 5. Ship S i on oue 45 T with peed 3 kt. Taget T i on oue 33 T with peed 1 kt. S ue atie ona to ping on T with equeny 1 khz. The peed o ound i 3 kt. When T i due eat o S (a hown in the below keth): 19-4
5 Noth 3 kt 1 kt Noth 45 o 3 o a) What equeny will T eeie om S? b) What will be the eho equeny that S eeie bak om T? ) What i the equeny o the eebeation eeied by S? 6. A phantom jet lying at an altitude o 5 km i dietly behind and loing at a hoizontal ange o 1 km om the aie. The jet i taking the hip with an atie ada unit o oue equeny 4 MHz. The jet peed i 2 m/ paallel to the gound. The hip uie at 1 m/. I the peed o light i 3 x 1 8 m/, 5km 1 km a) Compute the ada equeny deteted by the aiat aie. b) Compute the eho equeny deteted by the jet. ) Compute the Dopple hit between the eho and oue equeny. 19-5
6 Leon 19 Dopple Eet Dopple Eet 4 ae Soue moing towad eeie Soue moing away om eeie Reeie (obee) moing towad oue Reeie (obee) moing away om oue. Soue moing ae Reeie (obee) moing ae Towad: + = = + λ 1 Away: 1 = 1+ λ=λ T λ λ = λ=λ =λ 1 T 1 = = = λ λ 1 1 Towad: Away: = = λ 1 Soue and eeie moing Dopple Example 1± = = 1 S m m Numeato Reeie (obee) Towad + Away Denominato Soue Towad Away + Intelligene tell you that a patiula piee o mahiney in the engine oom o a Soiet Vito III ubmaine emit a equeny o 32 Hz. You ona opeato hea the mahiney but epot the equeny i 325 Hz. Aume you hae lowed to a negligible peed in ode to bette hea the Ruian. I the VIII oming towad you o moing away om you? Auming the Vito i eithe moing dietly towad o away om you, what i hi peed in m/? 1
7 Leon 19 Line o ight diagam Atie Cae N o 3 12 kt 1± = = 1 S m m = 12ktin3= 6kt A B 1+ 1 B = A = 2A + 1 kt o 45 = 1ktin 45 = 7.7kt 1 knot =.5144 m/ A B B > A = B= A= A + A + Example A hip moing noth at 2 kt ping on a taget (that bea 3 and i) moing eat at 1 kt. The oue equeny i 4 Hz and the ound peed i 3 kt. What i the equeny eeied by the taget? What i the eho equeny eeied by the hip? What i the dopple hit o the eho eeied by the hip elatie to the hip oue? What i the equeny head by eebeation nea the taget What i the eho equeny eeied by the hip om eebeation? What i the dopple hit o the eho eeied by the hip om eebeation elatie to the hip oue? 2
Chapter 30: Magnetic Fields Due to Currents
d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.
More informationSound Waves: Doppler Effect
Sound Wae: oppler Eect oppler Shit: I either the detector or the ource o i moing, or i both are moing, then the emitted requency,, o the ource and the detected requency, ob, are dierent. I both the ource
More informationEffect of Unemployment Insurance Tax On Wages and Employment: A Partial Equilibrium Analysis
Effect of Unemployment nuance Tax On Wage and Employment: atial Equilibium nalyi Deegha Raj dhikai, Oklahoma Employment Secuity Commiion ynn Gay, Oklahoma Employment Secuity Commiion Jackie Bun, Texa &
More informationChapter 3 Savings, Present Value and Ricardian Equivalence
Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,
More informationDisplacement, Velocity And Acceleration
Displacement, Velocity And Acceleation Vectos and Scalas Position Vectos Displacement Speed and Velocity Acceleation Complete Motion Diagams Outline Scala vs. Vecto Scalas vs. vectos Scala : a eal numbe,
More informationAP Physics Electromagnetic Wrap Up
AP Physics Electomagnetic Wap Up Hee ae the gloious equations fo this wondeful section. F qsin This is the equation fo the magnetic foce acting on a moing chaged paticle in a magnetic field. The angle
More informationSolutions to Problems: Chapter 7
Solution to Poblem: Chapte 7 P7-1. P7-2. P7-3. P7-4. Authoized and available hae LG 2; Baic a. Maximum hae available fo ale Authoized hae 2,000,000 Le: Shae outtanding 1,400,000 Available hae 600,000 b.
More informationMECH 2110 - Statics & Dynamics
Chapter D Problem 3 Solution 1/7/8 1:8 PM MECH 11 - Static & Dynamic Chapter D Problem 3 Solution Page 7, Engineering Mechanic - Dynamic, 4th Edition, Meriam and Kraige Given: Particle moving along a traight
More informationEpisode 401: Newton s law of universal gravitation
Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce
More information10. Collisions. Before During After
10. Collisions Use conseation of momentum and enegy and the cente of mass to undestand collisions between two objects. Duing a collision, two o moe objects exet a foce on one anothe fo a shot time: -F(t)
More informationUNIT CIRCLE TRIGONOMETRY
UNIT CIRCLE TRIGONOMETRY The Unit Cicle is the cicle centeed at the oigin with adius unit (hence, the unit cicle. The equation of this cicle is + =. A diagam of the unit cicle is shown below: + = - - -
More information7 Circular Motion. 7-1 Centripetal Acceleration and Force. Period, Frequency, and Speed. Vocabulary
7 Cicula Motion 7-1 Centipetal Acceleation and Foce Peiod, Fequency, and Speed Vocabulay Vocabulay Peiod: he time it takes fo one full otation o evolution of an object. Fequency: he numbe of otations o
More informationWorked Examples. v max =?
Exaple iction + Unifo Cicula Motion Cicula Hill A ca i diing oe a ei-cicula hill of adiu. What i the fatet the ca can die oe the top of the hill without it tie lifting off of the gound? ax? (1) Copehend
More informationSkills Needed for Success in Calculus 1
Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell
More information1240 ev nm 2.5 ev. (4) r 2 or mv 2 = ke2
Chapte 5 Example The helium atom has 2 electonic enegy levels: E 3p = 23.1 ev and E 2s = 20.6 ev whee the gound state is E = 0. If an electon makes a tansition fom 3p to 2s, what is the wavelength of the
More informationSOLUTIONS TO CONCEPTS CHAPTER 16
. air = 30 m/. = 500 m/. Here S = 7 m So, t = t t = 330 500 SOLUIONS O CONCEPS CHPER 6 =.75 0 3 ec =.75 m.. Here gien S = 80 m = 60 m. = 30 m/ So the maximum time interal will be t = 5/ = 60/30 = 0.5 econd.
More informationExam 3: Equation Summary
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of Physics Physics 8.1 TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t= Exam 3: Equation Summay total = Impulse: I F( t ) = p Toque: τ = S S,P
More informationThe force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges
The foce between electic chages Coulomb s Law Two chaged objects, of chage q and Q, sepaated by a distance, exet a foce on one anothe. The magnitude of this foce is given by: kqq Coulomb s Law: F whee
More informationVoltage ( = Electric Potential )
V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage
More informationPY1052 Problem Set 8 Autumn 2004 Solutions
PY052 Poblem Set 8 Autumn 2004 Solutions H h () A solid ball stats fom est at the uppe end of the tack shown and olls without slipping until it olls off the ight-hand end. If H 6.0 m and h 2.0 m, what
More informationExperiment MF Magnetic Force
Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuent-caying conducto is basic to evey electic moto -- tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating
More informationMultiple choice questions [70 points]
Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions
More informationProblem Set # 9 Solutions
Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new high-speed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease
More information1D STEADY STATE HEAT
D SEADY SAE HEA CONDUCION () Pabal alukda Aociate Pofeo Depatment of Mecanical Engineeing II Deli E-mail: pabal@mec.iitd.ac.in Palukda/Mec-IID emal Contact eitance empeatue ditibution and eat flow line
More informationSemipartial (Part) and Partial Correlation
Semipatial (Pat) and Patial Coelation his discussion boows heavily fom Applied Multiple egession/coelation Analysis fo the Behavioal Sciences, by Jacob and Paticia Cohen (975 edition; thee is also an updated
More informationChapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6
Chapte 9 lectic Chages, Foces, an Fiels 6 9. One in a million (0 ) ogen molecules in a containe has lost an electon. We assume that the lost electons have been emove fom the gas altogethe. Fin the numbe
More informationVoltage ( = Electric Potential )
V-1 Voltage ( = Electic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage is
More informationMultiple choice questions [60 points]
1 Multiple choice questions [60 points] Answe all o the ollowing questions. Read each question caeully. Fill the coect bubble on you scanton sheet. Each question has exactly one coect answe. All questions
More informationThe LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.
Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the
More informationUniform Rectilinear Motion
Engineeing Mechanics : Dynamics Unifom Rectilinea Motion Fo paticle in unifom ectilinea motion, the acceleation is zeo and the elocity is constant. d d t constant t t 11-1 Engineeing Mechanics : Dynamics
More informationStandardized Coefficients
Standadized Coefficient Ta. How do ou decide which of the X ae mot impotant fo detemining? In thi handout, we dicu one poile (and contoveial) anwe to thi quetion - the tandadized egeion coefficient. Fomula.
More informationRecall Gibbs eqn. ds. Using h version. for ideal gas. integrate AE3450. for ideal gas. integrate s. s(t,p) behavior? AE3450. T p.
Enti Shl f Aeae State Engineeing Eqn. Ideal Gae du eall Gibb eqn. d f ideal ga d integate d d d Ideal Ga Enty State elatin - Cyight 03 by Jey M. Seitzman. All ight eeed. d d d d d ln d ln Enti Shl f Aeae
More information2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses,
3.4. KEPLER S LAWS 145 3.4 Keple s laws You ae familia with the idea that one can solve some mechanics poblems using only consevation of enegy and (linea) momentum. Thus, some of what we see as objects
More information2. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES
. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES In ode to etend the definitions of the si tigonometic functions to geneal angles, we shall make use of the following ideas: In a Catesian coodinate sstem, an
More informationLeft- and Right-Brain Preferences Profile
Left- and Right-Bain Pefeences Pofile God gave man a total bain, and He expects us to pesent both sides of ou bains back to Him so that He can use them unde the diection of His Holy Spiit as He so desies
More informationv = x t = x 2 x 1 t 2 t 1 The average speed of the particle is absolute value of the average velocity and is given Distance travelled t
Chapter 2 Motion in One Dimenion 2.1 The Important Stuff 2.1.1 Poition, Time and Diplacement We begin our tudy of motion by conidering object which are very mall in comparion to the ize of their movement
More informationVector Calculus: Are you ready? Vectors in 2D and 3D Space: Review
Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.-7. find the vecto defined
More informationMagnetic Field and Magnetic Forces. Young and Freedman Chapter 27
Magnetic Field and Magnetic Foces Young and Feedman Chapte 27 Intoduction Reiew - electic fields 1) A chage (o collection of chages) poduces an electic field in the space aound it. 2) The electic field
More information6. Friction, Experiment and Theory
6. Friction, Experiment and Theory The lab thi wee invetigate the rictional orce and the phyical interpretation o the coeicient o riction. We will mae ue o the concept o the orce o gravity, the normal
More information(a) The centripetal acceleration of a point on the equator of the Earth is given by v2. The velocity of the earth can be found by taking the ratio of
Homewok VI Ch. 7 - Poblems 15, 19, 22, 25, 35, 43, 51. Poblem 15 (a) The centipetal acceleation of a point on the equato of the Eath is given by v2. The velocity of the eath can be found by taking the
More informationGravitation. AP Physics C
Gavitation AP Physics C Newton s Law of Gavitation What causes YOU to be pulled down? THE EARTH.o moe specifically the EARTH S MASS. Anything that has MASS has a gavitational pull towads it. F α Mm g What
More informationGauss Law. Physics 231 Lecture 2-1
Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing
More informationScal abil it y of ANSYS 16 applicat ions and Hardware select ion.
Technical white pape Scal abil it y of ANSYS 16 applicat ion and Hadwae elect ion. On multi-coe and floating point acceleato poceo ytem Table of Content Ab t a ct... 2 Tet configuation detail... 2 Meage
More informationMechanics 1: Motion in a Central Force Field
Mechanics : Motion in a Cental Foce Field We now stud the popeties of a paticle of (constant) ass oving in a paticula tpe of foce field, a cental foce field. Cental foces ae ve ipotant in phsics and engineeing.
More informationTech 03: Spring spacing, Roll Stiffness and Transverse Weight Transfer
Tech 03: Sping pacing, Ro Stine and Tanvee Weight Tane 1 P age By Doc Hathaway, H&S Pototype and Deign, LLC. Undetanding how you choice o ping type, ping tine, ping pacement and ping ange inuence the ont
More informationAn Introduction to Omega
An Intoduction to Omega Con Keating and William F. Shadwick These distibutions have the same mean and vaiance. Ae you indiffeent to thei isk-ewad chaacteistics? The Finance Development Cente 2002 1 Fom
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to
. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate
More informationParameter Identification of DC Motors
Paamete dentification of DC Moto utho: Dipl.-ng. ngo öllmecke dvantage of the Paamete dentification Method Saving time and money in the teting poce: no anical coupling neceay Full infomation: Entie chaacteitic
More informationNewton s Law of Universal Gravitation and the Scale Principle
Newton s Law of Univesal avitation and the ale iniple RODOLO A. RINO July 0 Eletonis Enginee Degee fo the National Univesity of Ma del lata - Agentina (odolfo_fino@yahoo.o.a) Ealie this yea I wote a pape
More informationA Primer on Dimensions and Units
1 Dienion v Unit A Prier on Dienion and Unit Glen Thornrot Mehanial Enineerin Departent Cal Poly State Univerity, San Lui Obipo Nearly every enineerin proble you will enounter will involve dienion: the
More informationPhysics 111. Exam #1. January 24, 2014
Phyic 111 Exam #1 January 24, 2014 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.
More informationContinuous Compounding and Annualization
Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem
More informationGraphs of Equations. A coordinate system is a way to graphically show the relationship between 2 quantities.
Gaphs of Equations CHAT Pe-Calculus A coodinate sstem is a wa to gaphicall show the elationship between quantities. Definition: A solution of an equation in two vaiables and is an odeed pai (a, b) such
More informationPHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013
PHYSICS 111 HOMEWORK SOLUTION #13 May 1, 2013 0.1 In intoductoy physics laboatoies, a typical Cavendish balance fo measuing the gavitational constant G uses lead sphees with masses of 2.10 kg and 21.0
More informationMSc Financial Economics: International Finance. Bubbles in the Foreign Exchange Market. Anne Sibert. Revised Spring 2013. Contents
MSc Financial Economic: International Finance Bubble in the Foreign Exchange Market Anne Sibert Revied Spring 203 Content Introduction................................................. 2 The Mone Market.............................................
More informationAnswer, Key Homework 3 David McIntyre 1
Answer, Key Homewor 3 Daid McIntyre 1 This print-out should hae 26 questions, chec that it is complete Multiple-choice questions may continue on the next column or page: find all choices before maing your
More informationLab M4: The Torsional Pendulum and Moment of Inertia
M4.1 Lab M4: The Tosional Pendulum and Moment of netia ntoduction A tosional pendulum, o tosional oscillato, consists of a disk-like mass suspended fom a thin od o wie. When the mass is twisted about the
More informationForces & Magnetic Dipoles. r r τ = μ B r
Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent
More informationSTUDENT RESPONSE TO ANNUITY FORMULA DERIVATION
Page 1 STUDENT RESPONSE TO ANNUITY FORMULA DERIVATION C. Alan Blaylock, Hendeson State Univesity ABSTRACT This pape pesents an intuitive appoach to deiving annuity fomulas fo classoom use and attempts
More informationCoordinate Systems L. M. Kalnins, March 2009
Coodinate Sstems L. M. Kalnins, Mach 2009 Pupose of a Coodinate Sstem The pupose of a coodinate sstem is to uniquel detemine the position of an object o data point in space. B space we ma liteall mean
More informationControlling the Money Supply: Bond Purchases in the Open Market
Money Supply By the Bank of Canada and Inteest Rate Detemination Open Opeations and Monetay Tansmission Mechanism The Cental Bank conducts monetay policy Bank of Canada is Canada's cental bank supevises
More informationPhys 2101 Gabriela González. cos. sin. sin
1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe
More informationInterface Design for Rationally Clocked GALS Systems
Intefae Deign fo Rationally Cloked GALS Sytem Joyee Mekie, Supatik Chakaboty, Giih Venkataamani,.S. Thiagaajan, D.K. Shama Mah 15, 2006 Motivation SoC : integation of pedeigned I oe Rationally loked ytem
More information12. Rolling, Torque, and Angular Momentum
12. olling, Toque, and Angula Momentum 1 olling Motion: A motion that is a combination of otational and tanslational motion, e.g. a wheel olling down the oad. Will only conside olling with out slipping.
More informationExperiment 6: Centripetal Force
Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee
More informationA) When two objects slide against one another, the magnitude of the frictional force is always equal to μ
Phyic 100 Homewor 5 Chapter 6 Contact Force Introduced ) When two object lide againt one another, the magnitude of the frictional force i alway equal to μ B) When two object are in contact with no relative
More informationDefinitions and terminology
I love the Case & Fai textbook but it is out of date with how monetay policy woks today. Please use this handout to supplement the chapte on monetay policy. The textbook assumes that the Fedeal Reseve
More informationWeek 3-4: Permutations and Combinations
Week 3-4: Pemutations and Combinations Febuay 24, 2016 1 Two Counting Pinciples Addition Pinciple Let S 1, S 2,, S m be disjoint subsets of a finite set S If S S 1 S 2 S m, then S S 1 + S 2 + + S m Multiplication
More informationConverting knowledge Into Practice
Conveting knowledge Into Pactice Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 2 0 1 0 C o p y i g h t s V l a d i m i R i b a k o v 1 Disclaime and Risk Wanings Tading
More information[ ] Amplitude Modulation AM with Envelope Detector. Large S/N limit m. c c c c s c. slowly varying. y, low-pass filtered (envelope)
Amplitude Modulation AM with Envelope Detetor Large S/N limit m < 1 (t) in ω t 1 m [ ] Reeived = y(t) = A 1 + m ( t) o ω t + n ( t)o ω t + n ( t)in ω t { j ω t (t)e } = Re Y lowly varying y, low-pa filtered
More informationFXA 2008. Candidates should be able to : Describe how a mass creates a gravitational field in the space around it.
Candidates should be able to : Descibe how a mass ceates a gavitational field in the space aound it. Define gavitational field stength as foce pe unit mass. Define and use the peiod of an object descibing
More informationAN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM
AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,
More informationHUT, TUT, LUT, OU, ÅAU / Engineering departments Entrance examination in mathematics May 25, 2004
HUT, TUT, LUT, OU, ÅAU / Engineeing depamens Enane examinaion in mahemais May 5, 4 Insuions. Reseve a sepaae page fo eah poblem. Give you soluions in a lea fom inluding inemediae seps. Wie a lean opy of
More informationCHAPTER 10 Aggregate Demand I
CHAPTR 10 Aggegate Demand I Questions fo Review 1. The Keynesian coss tells us that fiscal policy has a multiplied effect on income. The eason is that accoding to the consumption function, highe income
More informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
More informationLesson 7 Gauss s Law and Electric Fields
Lesson 7 Gauss s Law and Electic Fields Lawence B. Rees 7. You may make a single copy of this document fo pesonal use without witten pemission. 7. Intoduction While it is impotant to gain a solid conceptual
More informationHow to create RAID 1 mirroring with a hard disk that already has data or an operating system on it
AnswesThatWok TM How to set up a RAID1 mio with a dive which aleady has Windows installed How to ceate RAID 1 mioing with a had disk that aleady has data o an opeating system on it Date Company PC / Seve
More informationMultiband Microstrip Patch Antenna for Microwave Applications
IOSR Jounal of Electonics and Communication Engineeing (IOSR-JECE) ISSN: 2278-2834, ISBN: 2278-8735. Volume 3, Issue 5 (Sep. - Oct. 2012), PP 43-48 Multiband Micostip Patch Antenna fo Micowave Applications
More informationHow many times have you seen something like this?
VOL. 77, NO. 4, OTOR 2004 251 Whee the amea Was KTHRN McL. YRS JMS M. HNL Smith ollege Nothampton, M 01063 jhenle@math.smith.eu How many times have you seen something like this? Then Now Souces: outesy
More informationFinancing Terms in the EOQ Model
Financing Tems in the EOQ Model Habone W. Stuat, J. Columbia Business School New Yok, NY 1007 hws7@columbia.edu August 6, 004 1 Intoduction This note discusses two tems that ae often omitted fom the standad
More informationThe Binomial Distribution
The Binomial Distibution A. It would be vey tedious if, evey time we had a slightly diffeent poblem, we had to detemine the pobability distibutions fom scatch. Luckily, thee ae enough similaities between
More informationHow To Find The Optimal Stategy For Buying Life Insuance
Life Insuance Puchasing to Reach a Bequest Ehan Bayakta Depatment of Mathematics, Univesity of Michigan Ann Abo, Michigan, USA, 48109 S. David Pomislow Depatment of Mathematics, Yok Univesity Toonto, Ontaio,
More informationChapter 7: Equilibrium in the Flexible Price Model
Copyight MHHE 2005 Chapte 7: Equilibium in the Flexible Pice Model knowing what has happened to consumption spending. But consumption spending depends on income, which in tun depends on the levels o net
More informationThe Electric Potential, Electric Potential Energy and Energy Conservation. V = U/q 0. V = U/q 0 = -W/q 0 1V [Volt] =1 Nm/C
Geneal Physics - PH Winte 6 Bjoen Seipel The Electic Potential, Electic Potential Enegy and Enegy Consevation Electic Potential Enegy U is the enegy of a chaged object in an extenal electic field (Unit
More informationDSC Baseline Improvements Obtained by a New Heat Flow Measurement Technique
DS Baeline Impovement Obtained by a New Heat Flow Meauement Technique obet L. Danley, Pete A. aulfield TA Intument, 109 Luken Dive, New atle DE 19720 ABSTAT Nealy all diffeential canning caloimety (DS)
More informationOn Reference RIAA Networks by Jim Hagerman
On eference IAA Network by Jim Hagerman You d think there would be nothing left to ay. Everything you need to know about IAA network ha already been publihed. However, a few year back I came acro an intereting
More informationConcept and Experiences on using a Wiki-based System for Software-related Seminar Papers
Concept and Expeiences on using a Wiki-based System fo Softwae-elated Semina Papes Dominik Fanke and Stefan Kowalewski RWTH Aachen Univesity, 52074 Aachen, Gemany, {fanke, kowalewski}@embedded.wth-aachen.de,
More informationSolution of the Heat Equation for transient conduction by LaPlace Transform
Solution of the Heat Equation for tranient conduction by LaPlace Tranform Thi notebook ha been written in Mathematica by Mark J. McCready Profeor and Chair of Chemical Engineering Univerity of Notre Dame
More information4.1 - Trigonometric Functions of Acute Angles
4.1 - Tigonometic Functions of cute ngles a is a half-line that begins at a point and etends indefinitel in some diection. Two as that shae a common endpoint (o vete) fom an angle. If we designate one
More informationQuantity Formula Meaning of variables. 5 C 1 32 F 5 degrees Fahrenheit, 1 bh A 5 area, b 5 base, h 5 height. P 5 2l 1 2w
1.4 Rewite Fomulas and Equations Befoe You solved equations. Now You will ewite and evaluate fomulas and equations. Why? So you can apply geometic fomulas, as in Ex. 36. Key Vocabulay fomula solve fo a
More informationRisk Sensitive Portfolio Management With Cox-Ingersoll-Ross Interest Rates: the HJB Equation
Risk Sensitive Potfolio Management With Cox-Ingesoll-Ross Inteest Rates: the HJB Equation Tomasz R. Bielecki Depatment of Mathematics, The Notheasten Illinois Univesity 55 Noth St. Louis Avenue, Chicago,
More informationIgnorance is not bliss when it comes to knowing credit score
NET GAIN Scoing points fo you financial futue AS SEEN IN USA TODAY SEPTEMBER 28, 2004 Ignoance is not bliss when it comes to knowing cedit scoe By Sanda Block USA TODAY Fom Alabama comes eassuing news
More informationInstructions to help you complete your enrollment form for HPHC's Medicare Supplemental Plan
Instuctions to help you complete you enollment fom fo HPHC's Medicae Supplemental Plan Thank you fo applying fo membeship to HPHC s Medicae Supplement plan. Pio to submitting you enollment fom fo pocessing,
More informationFigure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!
1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the
More informationTHE PRINCIPLE OF THE ACTIVE JMC SCATTERER. Seppo Uosukainen
THE PRINCIPLE OF THE ACTIVE JC SCATTERER Seppo Uoukaie VTT Buildig ad Tapot Ai Hadlig Techology ad Acoutic P. O. Bo 1803, FIN 02044 VTT, Filad Seppo.Uoukaie@vtt.fi ABSTRACT The piciple of fomulatig the
More informationChapter 13 Fluids. Use the definition of density to express the mass of the gold sphere: The mass of the copper sphere is given by:
Chapte Fluid 5 One phee i ade of gold and ha a adiu and anothe phee i ade of coppe and ha a adiu. f the phee have equal a, hat i the atio of the adii, /? ictue the oble We can ue the definition of denity
More informationDeflection of Electrons by Electric and Magnetic Fields
Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An
More informationValuation of Floating Rate Bonds 1
Valuation of Floating Rate onds 1 Joge uz Lopez us 316: Deivative Secuities his note explains how to value plain vanilla floating ate bonds. he pupose of this note is to link the concepts that you leaned
More informationElectric Potential. otherwise to move the object from initial point i to final point f
PHY2061 Enched Physcs 2 Lectue Notes Electc Potental Electc Potental Dsclame: These lectue notes ae not meant to eplace the couse textbook. The content may be ncomplete. Some topcs may be unclea. These
More information