Fourier: tvorenie vĺn

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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.

Ukážkové ciele vzdelávania

  • 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.
Verzia 3.06

Typy pre učiteľov

Stiahnuť typy pre učiteľov v PDF Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( 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
VŠ-zač
Výb Fyzika
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
VŠ-zač
Lab
Demo
Fyzika
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
VŠ-zač
Otaz Fyzika
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
VŠ-zač
Otaz
Lab
Fyzika
Matematika
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
VŠ-zač
Lab Fyzika
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 Lab Fyzika
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
VŠ-zač
Lab Fyzika
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein Iné Chémia
Biológia
Fyzika
Veda o Zemi
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein ZŠ-II Iné Biológia
Veda o Zemi
Chémia
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Introduction to Fourier Analysis This contribution was designed by PhET. Sam McKagan, Kathy Perkins and Carl Wieman VŠ-pokr
VŠ-zač
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Matematika
Mapping of PhET and IBDP Physics Jaya Ramchandani Iné Fyzika
MS and HS TEK to Sim Alignment Elyse Zimmer ZŠ-II
Iné Fyzika
Chémia
Biológia
Making use of the Sound Simulations Don Cameron Lab Fyzika

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Čínština (Tradičná) All 中文 (台灣) Download Run now Fourier: Making Waves 傅力葉:與波共舞
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Perzština All فارسی Download Run now تولید موج ها
Poľština All polski Download Run now Fourier: Konstruowanie fal
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Autorský tím Iné knižnice Poďakovanie
  • Chris Malley (developer)
  • Sam McKagan (lead)
  • Carl Wieman
  • Interviewer: Danielle Harlow
  • Interviewer: Sam McKagan