lec26 - Physics 140 Fall 2007 lecture #26: 6 Dec Ch 16...

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Physics 140 – Fall 2007 lecture #26: 6 Dec Ch 16 topics: • sound waves speed of sound • sound intensity, decibel scale • standing waves, harmonics interference, beats Doppler effect http://www.privateline.com/TelephoneHistory/speech.jpg Final exam is next Friday, 14 Dec, 7:30–9:30pm Alternate: 4:00–6:00pm, send e-mail to phys140lecture@umich.edu to sign up bring: up to four 3x5 notecards or one 8.5x11 sheet, calculator, #2 pencils, student ID 7, 8, 9, 25 Modern Lang Bldg Aud 4 10, 23, 24, 26, 27 Chem 1210 4, 5, 6, 11, 12, 13, 14, 15 Modern Lang Bldg Aud 3 Discussion Sections Midterm Exam Location
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Sound waves are longitudinal pressure variations that move through a medium. Any sound can be represented as a sum of scaled and phased pure tones , each characterized by an amplitude of pressure variations ! p , angular frequency ! and phase constant " x is the direction of propagation of the sound. The angular wavenumber k can be determined through the relation to the speed of sound v in the medium k = v / . Associated with the pressure fluctuation are displacements y ( x , t ) of elements of the medium aligned with the direction of propagation For a medium with density # , the amplitudes are related by " p ( x , t ) = " p m
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lec26 - Physics 140 Fall 2007 lecture #26: 6 Dec Ch 16...

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