Music, Math, and Motion with Dr. E.J. Zita & Dr. Arun Chandra The Evergreen St. College Winter week 2 Tuesday 13 Jan.2009.

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Presentation transcript:

Music, Math, and Motion with Dr. E.J. Zita & Dr. Arun Chandra The Evergreen St. College Winter week 2 Tuesday 13 Jan.2009

Physics of Sound Overview What is sound? Waves: simple harmonic motion Representing sound waves mathematically Sources of sound Wavelength and frequency Speeds of sounds and sources Perception of sound Resonance Applications Sound waves in nature

What is sound? Sound waves: Compressions and expansions of a medium such as air

Waves & simple harmonic motion

Representing sound mathematically s

Sources of Sound Strings Open pipes Closed pipes

Wavelength and frequency Wavelength Period Tspace time

Speeds of sounds and sources

Perception of sound Intensity = Power / Area

Resonance: an object oscillates at the same frequency as the driving source

Harmonics Females typically beat wings 400 times per second Males typically beat wings 600 times per second What harmonic of both frequencies matches? 1200 Hz = 3*400 = 2*600

Applications Doppler effect Beats Sonic boom Ultrasound Interference

Sound waves in nature Big Bang Pulsating stars Planets’ atmospheres Insects & Trees Whales drink sounds Sand dunes Chimps … more …

Whales drink sounds

Ultrasound from pine bark beetles & dying trees

Goals and activities

Physics of Sound syllabus Thursday 3:00-5:00: Physics Help Session in CAL Friday 1:00-5:00: Physics of Sound in CAL (Lab II)

Week 2 overview

Coming up next: Seminar on Kuhn (first half) and Brün (paradigms) Do you have questions of FACT about scientific examples in Kuhn? If so, let’s spend a short time answering them before seminar.

Seminar groups