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The Didgeridoo and its Acoustic Properties:

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1 The Didgeridoo and its Acoustic Properties:
Image from: didgeridoowebshop.com The Didgeridoo and its Acoustic Properties: Physical Variation and its Effect on Frequency and Amplitude Yolnan Chen, Andrew Parker Frontiers of Science Institute University of Northern Colorado

2 Hypotheses We predict that when the physical attributes of an air cylinder that is closed at one end are altered, the frequency and amplitude of the energy produced are altered as well. Increase length→decrease frequency Increase diameter→increase amplitude

3 Background Didgeridoo Originates from Australia
Tree branch or root hollowed out by termites Decorated (painted, engraved or stained) Simple instrument

4 Amplitude: ‘size of vibration’
Frequency: ‘speed of vibration’(Hz) f = nv 4ƛ f = frequency ƛ = wavelength n = resonant number v = velocity Oscillation: vibration of 2 sources against each other 1 Hertz = 1 oscillation per second

5 Higher Frequency Pressure (Pa) Time (msec) Lower Frequency Pressure (Pa) Time (msec)

6 Pressure is measured in Pascals (Pa)
Pressure is directly related to amplitude Less Dense More Dense

7 Longitudinal Wave particles temporarily displaced, return to original position one particle transport energy to another (horizontally) Standing Wave 2 waves, opposite direction, same frequency

8 Reflection Can cause standing waves Sound Wave Absorbing Materials Hard→very reflective Soft→less reflective

9 Acoustic Impedance: resistance of air to flow
Some energy transmitted Some energy reflected

10 Fundamental Frequency -The lowest frequency of a periodic waveform
Harmonics Amplitude (dB) Other Terminology: Fundamental Frequency -The lowest frequency of a periodic waveform Harmonics -The following frequencies at intervals of 4 (harmony/chords/pitch/octave) Frequency (Hz)

11 Methods Play the PVC pipes simulating didgeridoos of various lengths and diameters Human didgeridoo player Sound insulated box reduce background noise Snapshots of spectrogram & oscilloscope

12 Materials PVC pipes Particle Board Insulation foam USB microphone
Didjeridu Funnel

13 Results (Length Changes)
Amplitude (dB) Frequency (Hz) Frequency (Hz) Didgeridoo 1 length: 39.1in diameter: 1.25in Didgeridoo 2 length: 48.9in diameter: 1.25in

14 Results (Diameter Changes)
Amplitude (dB) Frequency (Hz) Frequency (Hz) Didgeridoo 6 length: 39.1in diameter: 2in Didgeridoo 7 length: 39.1in diameter: 0.75in

15 Results (Bell vs No Bell)
Didgeridoo 8 (with bell attachment) Amplitude (Pa) Time (msec) Didgeridoo 3 (without bell attachment) Amplitude (Pa) Time (msec)

16 Bell Effect Gradual change in diameter Decreasing impedance
Less reflection, more transmission Pressure inside air cylinder different than pressure outside

17 Conclusion Hypothesis correct
Wish to add filling to inside of PVC pipe

18 Sources Wolfe, J. (2005). Didgeridoo Acoustics/Yidaki Acoustics. University of New South Wales. Retrieved from Sound Waves and Music. The physics classroom. Retrieved from Heller, E. J. (2013) . Why You Hear What You Hear. Princeton, NJ: Princeton University Press. Serway, R. A., & Jewett, J. W. (2010). Physics for Scientists and Engineers (8th ed.). Boston, MA:Cengage Learning

19 Acknowledgements Thanks to... Christopher Courrejou (mentor)
Rebecca Kipf (Advisor) Dr. Semak (Physics Department Professor) Dr. Galovich (Physics Department Chair) Christopher Krause, Sofia Simina (Residential Advisors) Noble Energy (Sponsor) Rollie R. Kelley Family Fund at the Denver Foundation (Sponsor) The Edward Madigan Foundation (Sponsor) University of Northern Colorado Steve Anderson (Head of MAST) Lori Ball (Head of FSI)

20 Questions? Image from: colourbox.com


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