Séries de Fourier: Fazendo Ondas

Séries de Fourier: Fazendo Ondas Captura de Ecrã  Descarregar  Incorporar
  • Ondas
  • Senos
  • Cosenos
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Tópicos

  • Ondas
  • Senos
  • Cosenos

Descrição

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.

Amostra das Metas de Aprendizagem

  • 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.
Versão 3.06

Dicas para Professores

Descarregar dicas para professores PDF Revisão dos controlos das simulações, simplificação dos modelos, e instropeção ao pensamento do aluno ( PDF ).

Atividades Submetidas por Professores

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Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (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 Univ-Intro
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TPC
Lab
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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 Univ-Intro
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Lab
Demo
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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 Secundário
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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 Univ-Intro
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CCs
Matemática
Física
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 Univ-Intro
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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 Secundário Lab Física
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 Secundário
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Introduction to Fourier Analysis This contribution was designed by PhET. Sam McKagan, Kathy Perkins and Carl Wieman Univ-Intro
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MS and HS TEK to Sim Alignment Elyse Zimmer Básico
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Making use of the Sound Simulations Don Cameron Secundário Lab Física

Idioma Descarregar ou Correr Dicas
Amharic Tudo Amharic Download Run now አራትዮሽ፡ ሞገድ መስራት
Basque Tudo Euskara Download Run now Fourier: Uhinak sortzen
Bosnian Tudo Bosanski Download Run now FURIJE-OVA SINTEZA - PRAVLJENJE TALASA
Bulgarian Tudo български Download Run now Фурие: Получаване на вълни
Chinese (Simplified) Tudo 中文 (中国) Download Run now 傅里叶:生成波
Chinese (Traditional) Tudo 中文 (台灣) Download Run now Fourier: Making Waves 傅力葉:與波共舞
Croatian Tudo hrvatski Download Run now Kompozicija valova (Fourierova sinteza)
Danish Tudo Dansk Download Run now Fourir: Bølgefremstilling
Dutch Tudo Nederlands Download Run now Boventonen
English Tudo English Download Run now Fourier: Making Waves
Estonian Tudo Eesti Download Run now Fourier: Lainete tekitamine
French Tudo français Download Run now Fourier: Création d'ondes
German Tudo Deutsch Download Run now Wellen zusammensetzen nach FOURIER
Greek Tudo Ελληνικά Download Run now Fourier: Δημιουργία Κυμάτων
Hebrew Tudo עברית Download Run now פוריה: עושים גלים
Hungarian Tudo magyar Download Run now Fourier: hullám-LEGO
Indonesian Tudo Bahasa Indonesia Download Run now Fourier : Mengkontruksi Gelombang
Italian Tudo italiano Download Run now Fourier: Costruire le onde
Japanese Tudo 日本語 Download Run now フーリエ級数展開:波の合成
Khmer Tudo Khmer Download Run now Fourier: ការបង្កើតរលក
Korean Tudo 한국어 Download Run now 푸리에: 파동 생성
Lao Tudo Lao Download Run now ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ
Macedonian Tudo македонски Download Run now ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ
Mongolian Tudo Монгол (Монгол) Download Run now Фурьей: Долгион хийх
Persian Tudo فارسی Download Run now تولید موج ها
Polish Tudo polski Download Run now Fourier: Konstruowanie fal
Português (Brazil) Tudo português (Brasil) Download Run now Fourier: Criando Ondas
Serbian Tudo Српски Download Run now ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
Slovak Tudo Slovenčina Download Run now Fourier: tvorenie vĺn
Spanish Tudo español Download Run now Fourier: Fabricacion de Ondas Descarregar dicas para professores PDF
Spanish (Mexico) Tudo español (México) Download Run now Fourier: Fabricacion de Ondas Descarregar dicas para professores PDF
Spanish (Peru) Tudo español (Perú) Download Run now Fourier: Haciendo Ondas
Turkish Tudo Türkçe Download Run now Fourier Serileri: Dalga Yapalım
Turkmen Tudo Turkmen Download Run now Furýe: tolkun ýasamak
Vietnamese Tudo Tiếng Việt Download Run now Tổng hợp sóng

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Equipa de Design Bibliotecas de Terceiros Agradecimentos Para
  • Chris Malley (developer)
  • Sam McKagan (lead)
  • Carl Wieman
  • Interviewer: Danielle Harlow
  • Interviewer: Sam McKagan