ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА
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Теме
- таласи
- Синус
- Косинус
Опис
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.
Примери образовних циљева
- 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.
Верзија 3.06
Савети за наставнике
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Преглед контроле симулација, поједностављења модела и увид у размишљање студената ( PDF ). |
Активности наставника
Concept questions for Physics using PhET (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
MC | Физика |
Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
Демо Лаб ДЗ |
Физика |
Wave unit (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
Лаб Демо |
Физика |
Wave clicker questions (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
КП | Физика |
Waves: Superposition (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
КП Лаб |
Физика Математика |
Wave Representations (Inquiry Based) |
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Trish Loeblein | HS (ВШ) UG-Intro (ВСШ) |
Лаб | Физика |
Fourier Making Waves Game (Inquiry Based) |
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Trish Loeblein | HS (ВШ) | Лаб | Физика |
Wave Modeling and Wave addition (Inquiry Based) |
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Trish Loeblein | UG-Intro (ВСШ) HS (ВШ) |
Лаб | Физика |
How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | MS (СШ) | Остало | Хемија Наука о Земљи Физика Биологија |
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Introduction to Fourier Analysis |
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Sam McKagan, Kathy Perkins and Carl Wieman | UG-Intro (ВСШ) UG-Adv (ВСШ2) |
ДЗ | Физика Математика |
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MS and HS TEK to Sim Alignment | Elyse Zimmer | MS (СШ) HS (ВШ) |
Остало | Физика Биологија Хемија |
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Mapping of PhET and IBDP Physics | Jaya Ramchandani | HS (ВШ) | Остало | Физика | ||
Making use of the Sound Simulations | Don Cameron | HS (ВШ) | Лаб | Физика |
Дизајн тим | Независне базе и библиотеке (Third-party Libraries) | Хвала : |
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