# Fourier: Making Waves

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

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• 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

Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) Trish Loeblein UG-Intro
HS
PKêş
ST
Ez.geh
Fîzîk
Concept questions for Physics using PhET (Inquiry Based) Trish Loeblein UG-Intro
HS
MC Fîzîk
Wave unit (Inquiry Based) Trish Loeblein HS
UG-Intro
PKêş
Ez.geh
Fîzîk
Wave clicker questions (Inquiry Based) Trish Loeblein HS
UG-Intro
PT Fîzîk
Waves: Superposition (Inquiry Based) Trish Loeblein HS
UG-Intro
PT
Ez.geh
Fîzîk
Bîrkarî
Wave Representations (Inquiry Based) Trish Loeblein HS
UG-Intro
Ez.geh Fîzîk
Fourier Making Waves Game (Inquiry Based) Trish Loeblein HS Ez.geh Fîzîk
Wave Modeling and Wave addition (Inquiry Based) Trish Loeblein UG-Intro
HS
Ez.geh Fîzîk
How do PhET simulations fit in my middle school program? Sarah Borenstein MS Yên din Fîzîk
Erdzanî
Kîmya
Zindîwerzanî
Introduction to Fourier Analysis Sam McKagan, Kathy Perkins and Carl Wieman UG-Adv
UG-Intro
ST Fîzîk
Bîrkarî
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Yên din Kîmya
Fîzîk
Zindîwerzanî
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Yên din Fîzîk
Making use of the Sound Simulations Don Cameron HS Ez.geh Fîzîk
Albanian All shqip Analiza Furie: prodhimi i valëve
Amarî All Amharic አራትዮሽ፡ ሞገድ መስራት
Baskî All Euskara Fourier: Uhinak sortzen
Bosnî All Bosanski FURIJE-OVA SINTEZA - PRAVLJENJE TALASA
Bulgarî All български Фурие: Получаване на вълни
Chinese (China) All 中文 (中国) 傅里叶:生成波
Chinese (Taiwan) All 中文 (台灣) Fourier: Making Waves 傅力葉:與波共舞
Croatian All hrvatski Kompozicija valova (Fourierova sinteza)
Danî All Dansk Fourir: Bølgefremstilling
Dutch All Nederlands Boventonen
Endonezkî All Bahasa Indonesia Fourier : Mengkontruksi Gelombang
Estonî All Eesti Fourier: Lainete tekitamine
Farisî All فارسی تولید موج ها
Frensî All français Fourier: Création d'ondes
Germenî All Deutsch Wellen zusammensetzen nach FOURIER
Grekî All Ελληνικά Fourier: Δημιουργία Κυμάτων
Hebrew All עברית פוריה: עושים גלים
Îspanî All español Fourier: Fabricacion de Ondas
Îspanî (Meksîko) All español (México) Fourier: Fabricacion de Ondas
Îspanî (Peru) All español (Perú) Fourier: Haciendo Ondas
Italî All italiano Fourier: Costruire le onde
Japanese All 日本語 フーリエ級数展開:波の合成
Khmer All Khmer Fourier: ការបង្កើតរលក
Korean All 한국어 푸리에: 파동 생성
Lao All Lao ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ
Macarkî All magyar Fourier: hullám-LEGO
Macedonian All македонски ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ
Mongolian All Монгол (Монгол) Фурьей: Долгион хийх
Polish All polski Fourier: Konstruowanie fal
Portuguese All português Séries de Fourier: Fazendo Ondas
Portuguese (Brazil) All português (Brasil) Fourier: Criando Ondas
Serbian All Српски ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
Slovak All Slovenčina Fourier: tvorenie vĺn
Tirkî All Türkçe Fourier Serileri: Dalga Yapalım
Turkmen All Turkmen Furýe: tolkun ýasamak
Vietnamese All Tiếng Việt Tổng hợp sóng
Windows Macintosh Linux
Microsoft Windows
XP/Vista/7/8.1/10