Fourier: Making Waves

Ev şêwekar hêj ji bo vî zimanê nehatiye wergerandin. Dîsa jî hun dikarin guhertoya bi Îngilîzî ya li jêr bixebitînin.

Fourier: Making Waves Wêneya Dîmenê  Daxîne  Çalkirin
  • Pel
  • Sines
  • Cosines

Naverok

  • Pel
  • Sines
  • Cosines

Description

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

Mînakên Armancên Fêrbûnê

  • Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.
  • Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.
  • Mentally map simple functions between Fourier space and real space.
  • Describe sounds in terms of sinusoidal waves.
  • Describe the difference between waves in space and waves in time.
  • Recognize that wavelength and period do not correspond to specific points on the graph but indicate the length/time between two consecutive troughs, peaks, or any other corresponding points.
  • Become comfortable with various mathematical notations for writing Fourier transforms, and relate the mathematics to an intuitive picture of wave forms.
  • Determine which aspect of a graph of a wave is described by each of the symbols lambda, T, k, omega, and n.
  • Recognize that lambda & T and k & omega are analogous, but not the same.
  • Translate an equation from summation notation to extended notation.
  • Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.
  • Explain how the Heisenberg Uncertainty principle results from the properties of waves.
  • Recognize that the spacing between Fourier components is inversely related to the spacing between wave packets, and that a continuous distribution of fourier components leads to a single wave packet.
Version 3.06

Teacher Tips

Di rêbera mamosteyan (pdf) de rêwazên aliyê koma PhET ve hatine afirandin hene. ( PDF ).

Teacher-Submitted Activities

Concept questions for Physics using PhET (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein UG-Intro
HS
MC Fîzîk
Wave unit (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
UG-Intro
PKêş
Ez.geh
Fîzîk
Wave clicker questions (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein UG-Intro
HS
PT Fîzîk
Waves: Superposition (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
UG-Intro
Ez.geh
PT
Bîrkarî
Fîzîk
Wave Representations (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein UG-Intro
HS
Ez.geh Fîzîk
Fourier Making Waves Game (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS Ez.geh Fîzîk
Wave Modeling and Wave addition (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
UG-Intro
Ez.geh Fîzîk
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein HS Yên din Zindîwerzanî
Fîzîk
Erdzanî
Kîmya
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Yên din Zindîwerzanî
Erdzanî
Fîzîk
Kîmya
Introduction to Fourier Analysis This contribution was designed by PhET. Sam McKagan, Kathy Perkins and Carl Wieman UG-Intro
UG-Adv
ST Bîrkarî
Fîzîk
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Yên din Fîzîk
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Yên din Kîmya
Zindîwerzanî
Fîzîk
Making use of the Sound Simulations Don Cameron HS Ez.geh Fîzîk

Ziman Download or Run Tips
Baskî All Basque Download Run now Fourier: Uhinak sortzen
Bosnî All Bosanski Download Run now FURIJE-OVA SINTEZA - PRAVLJENJE TALASA
Bulgarî All български Download Run now Фурие: Получаване на вълни
Chinese (China) All 中文 (中国) Download Run now 傅里叶:生成波
Chinese (Taiwan) All 中文 (台灣) Download Run now Fourier: Making Waves 傅力葉:與波共舞
Croatian All hrvatski Download Run now Kompozicija valova (Fourierova sinteza)
Danî All Dansk Download Run now Fourir: Bølgefremstilling
Dutch All Nederlands Download Run now Boventonen
Endonezkî All Bahasa Indonesia Download Run now Fourier : Mengkontruksi Gelombang
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Farisî All فارسی Download Run now تولید موج ها
Frensî All français Download Run now Fourier: Création d'ondes
Germenî All Deutsch Download Run now Wellen zusammensetzen nach FOURIER
Grekî All Ελληνικά Download Run now Fourier: Δημιουργία Κυμάτων
Hebrew All עברית Download Run now פוריה: עושים גלים
Îspanî All español Download Run now Fourier: Fabricacion de Ondas
Îspanî (Meksîko) All español (México) Download Run now Fourier: Fabricacion de Ondas
Îspanî (Peru) All español (Perú) Download Run now Fourier: Haciendo Ondas
Italî All italiano Download Run now Fourier: Costruire le onde
Japanese All 日本語 Download Run now フーリエ級数展開:波の合成
Khmer All Khmer Download Run now Fourier: ការបង្កើតរលក
Korean All 한국어 Download Run now 푸리에: 파동 생성
Lao All Lao Download Run now ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ
Macarkî All magyar Download Run now Fourier: hullám-LEGO
Macedonian All македонски Download Run now ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ
Mongolian All Монгол (Монгол) Download Run now Фурьей: Долгион хийх
Polish All polski Download Run now Fourier: Konstruowanie fal
Portuguese All português Download Run now Séries de Fourier: Fazendo Ondas
Portuguese (Brazil) All português (Brasil) Download Run now Fourier: Criando Ondas
Serbian All Српски Download Run now ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
Slovak All Slovenčina Download Run now Fourier: tvorenie vĺn
Tirkî All Türkçe Download Run now Fourier: Making Waves
Turkmen All Turkmen Download Run now Furýe: tolkun ýasamak
Vietnamese All Tiếng Việt Download Run now Tổng hợp sóng

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Koma Pêşnûmakeriyê Danegehên Kesê-sêyemîn Spas Ji Bo
  • Chris Malley (developer)
  • Sam McKagan (lead)
  • Carl Wieman
  • Interviewer: Danielle Harlow
  • Interviewer: Sam McKagan