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Week 3a

# Week 3a - CQ 3.3 Which harmonic is the octave of the 2 nd...

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Physics 1240 1/25/11 Today: Harmonic Series, Frequency Spectra Next time: Sound Waves, Pressure, Wave Motion Last time Dynamic range – the range of possible sound levels, from very weak, to very strong CD Quality: Stereo – 2 channels, 16-bit (2 16 integer values), 44,100 Hz Resonance – driving an oscillator at it natural frequency

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Outline Harmonics of a string Harmonic series Timbre determined by the frequency spectrum
Harmonics Plucked string has many “modes” of vibration

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Harmonics 1 st harmonic 2 nd harmonic
Harmonics 1 st harmonic 2 nd harmonic Acts like a string with ½ the length Twice the frequency

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Harmonics 3 rd harmonic 4 th harmonic 5 th harmonic 2 nd harmonic 1 st harmonic
Harmonics 3 x f 4 x f 5 x f 2 x f f

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CQ 3.1: If the frequency of the 1 st harmonic is 110 Hz, what is the frequency of the 3 rd harmonic? a) 112 Hz b) 113 Hz c) 220 Hz d) 330 Hz
CQ 3.2) Which harmonic is the octave of the 1 st harmonic? a) 2nd b) 3rd c) 4th d) 5th

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Unformatted text preview: CQ 3.3 Which harmonic is the octave of the 2 nd harmonic? a) 3rd b) 4th c) 5th d) 6th Sawtooth Wave Synthesis: Harmonic Series f 1 2f 1 3f 1 sum fundamental 2 nd harmonic 3 rd harmonic • • • overtones Sum of pure tones gives a complex waveform CQ 3.4 A clarinet has a 3 rd harmonic of 600 Hz. What is the frequency of the 5 th harmonic? A) 200 Hz B) 400 Hz C) 800 Hz D) 1000 Hz CQ 3.5 A particular sound has specific peaks in the frequency spectra at 220, 440 and 660 Hz. What might the sound be? A) Gong B) Timpani (also called a Kettle drum C) Bowed violin D) Both B) and C) www.falstad.com/loadstring www.phet.colorado.edu/en/simulation/fourier Timbre depends on the frequency spectra Visible Range of Electromagnetic Waves Wavelength shown in angstroms (10-10 m) frequency = 4 x 10 14 Hz - 7.5 x 10 14 Hz !! alternating compression and rarefaction of the background air Cartoon of a Sound Wave...
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Week 3a - CQ 3.3 Which harmonic is the octave of the 2 nd...

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