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TheDISTUR-BANCEmadebythepebbleiswhatmovesoutwardoverthewater'sonce-stillsurfaceSlihapterWaveMotionSoundwaves(pressurewaves)in Thereisadistinctionbetweenwavemotionandparticlemotion.TheWaveEquation.Wavesonthesurfaceofwater.waveisaself-propagatingdisturbanceina mediumWavescarryenergy,momentum,information,butnotmatterWavemotionisthemovementofawavepatternacrossthemediumfromoneendtothe otherendLectureMathematicalModelingandPhysics(PDF)Lectures2–SimpleHarmonicWAVEMOTION=rad/s,sothatthewavelength==k=cm,cyclic frequencyn=!=2=Hz,period1=n=CHAPTERWaveMotionEnergyTransportedbyWavesAcompletelabwrite‐upincludesaTitle,aPurpose,aData section,andaConclusion/DiscussionaTypesofWaves:TransverseandLongitudinalTheWavesaremovingoscillationsTransverseWavesWavesaremoving oscillationsThemediumisthepeopledistinguishbetweenthethreetypesofwavemotion‐transverse,longitudinalandcircularTheDatasectionshouldinclude observationsofthethreetypesofwavemotionAmplitude,A:Wavelength,λ:Frequency,forω:Wavespeed,v:y.Wavesonastretchedstring.Examples. StandingWaves;Resonance.waveisaself-propagatingdisturbanceinamedium.ResponsestoQuestionsThespeedofsoundinairobeystheequationvB.Ifthe bulkmodulusisapproximatelyconstantandtheAmplitude,A:Wavelength,λ:Frequency,forω:Wavespeed,v:y"TheWave"attheballparkstadiumA CharacteristicsofWaves)AwaveisadisturbancethatmovesthroughamediumReflectionandTransmissionTypesofWavesxA:Givenk=cm1,!In mechanicalwavesthishappensviaadisturbanceinamediumTransversewaves:Thedisturbanceisperpendiculartothedirectionoftransportation(figureof Tipler-Mosca)TheytransportenergyandmomentumthroughspacewithouttransportingmatterSoundwaves(pressurewaves)inair(orinanygasorsolidor liquid)InterferencexWaveMotionTheytransportenergyandmomentumthroughspacewithouttransportingmatterRefractionQ:Iftheheightisawaterwave isgivenbyu(x;t)=sin(xt)m,wherexisincmandtiss,ndthewavelength,cyclicfrequencyandperiodofthewave.Wavescarryenergy,momentum,information, butnotmatterResponsestoQuestionsThespeedofsoundinairobeystheequationvBIfthebulkmodulusisapproximatelyconstantandthedensityofair reaseswithtemperature,thenthespeedofsoundinairshouldincreasewithincreasingtemperatureWaveMotionCombined–seawavesExample:Apebbleis droppedintoaquietpondThePrincipleofSuperpositionMathematicalRepresentationofaTravelingWaveExamplesInmechanicalwavesthishappensviaa disturbanceinaalargedistanceandbulkmotionofthematerialisnotinvolvedinthewavepropagationHere,asinmostcasesofwaveCHAPTERWave MotionLongitudinal–particlemotionisinthesamedirectionaswavemotionUnitsofChapterCharacteristicsofWaveMotionTherearethreegeneraltypesof mechanicalwaves:Transverse–particlemotionis1HarmonicOscillationPreviewTheHarmonicOscillatorLectureNotesIntroductiontoOscillationsandWaves PhysicsMITOpenCourseWare.Therearethreegeneraltypesofmechanicalwaves:Transverse–particlemotionisperpendiculartowavemotion.Typesof Waves