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WELCOME to Physics is Phun

WELCOME to Physics is Phun. Please be Seated. Physics Lecture-Demonstration Web Site Summer Programs for Youth Physics Olympics Physics Question of the Week. The Sounds of Science. Physics is Phun March 2007.

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WELCOME to Physics is Phun

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  1. WELCOMEtoPhysics is Phun

  2. PleasebeSeated

  3. Physics Lecture-Demonstration Web Site Summer Programs for Youth Physics Olympics Physics Question of the Week

  4. The Sounds of Science Physics is Phun March 2007

  5. Reference book:The Physics of Sound, 3rd edition (2005)by Richard E. Berg and David G. Storkpublished byPearson/Prentice-Hall

  6. The Overtone Series

  7. Standing waves in a string

  8. The Overtone Series

  9. Standing waves in air columns

  10. The Overtone Series

  11. Standard electronic wave forms • Sine wave • Sawtooth wave • Pulse train • Triangular wave • Square wave

  12. Fourier’s Theorem:Jean Baptiste Joseph Fourier (1768 - 1830) Any physical function that varies periodically with time with a frequency f can be expressed as a superposition of sinusoidal components of frequencies:f, 2f, 3f, 4f, ... --from “Wikipedia”

  13. Fourier SynthesisSawtooth wave

  14. Fourier SynthesisPulse train wave

  15. Fourier SynthesisTriangular wave

  16. Fourier SynthesisSquare wave

  17. Fourier AnalysisorSpectrum Analysis

  18. Sine Wave Spectrum

  19. Sawtooth Wave Spectrum

  20. Pulse Train Spectrum

  21. Triangular Wave Spectrum

  22. Square Wave Spectrum

  23. Analysis of Musical Sounds

  24. Fourier AnalysisofSounds ofMusical Instruments

  25. Recorder Wave and Spectrum

  26. Violin Wave and Spectrum

  27. Crumhorn Wave and Spectrum

  28. Clarinet Wave and Spectrum

  29. Factors in Tone Quality 1. Amplitudes of harmonics 2. Attack and decay transients 3. Inharmonicities 4. Formants 5. Vibrato 6. Chorus effect

  30. The Singing Formant

  31. Frequency: f1 = 500 Hz f3 = 1500 Hz Vocal range: 150-850 Hz 500-2500 Hz Origin of Vocal Formants(~17.5 cm closed tube) Mode:

  32. Simple formant model

  33. Origin of Vocal Formants(~17.5 cm closed tube) Mode: Frequency: f1 = 500 Hz f3 = 1500 Hz Vocal range: 150-850 Hz 500-2500 Hz

  34. Vowel formant production Source: http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

  35. Vowel Formant Frequencies

  36. Sound Spectrograms

  37. Vocal formants for vowel sounds

  38. Voice and Synthesizer “Wow”

  39. Vocal Spectrograms

  40. Computerized Speech Laboratory Courtesy of Kay Elemetrics Corp.

  41. Helium Voice Singing frequency remains the same (vibration of vocal folds) Formant frequencies rise because She >> Sair Why?

  42. Vowel formant production Source: http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

  43. Speed of Sound inHelium and Sulfur Hexafluoride

  44. The EndSee you next time! We are on the web at http://www.physics.umd.edu/lecdem/ Animated Gifs compliments of bellsnwhistles.com

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