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APB Review Sessions
Waves and Sound


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Formulas
vw = fl T = 1 / f d = r t
Doppler Effect source moving:  Dl / l = v / vw
listener moving:  Df / f = v / vw
towards listener, crowded wavelengths Þ higher f
away from listener, wavelengths pulled apart Þ lower f

towards source, encounter waves in less time Þ higher f
away from source, encounter waves in more time Þ lower f

Sound level

SLdB = 10 log10 ( I / Io )

Io = 1 x 10-12 watts/m²
Beats beat frequency = | f2 - f1 |
beat pitch = ½ ( f1 + f2 )
EPD constructive interference (loud)
destructive interference (minimal)
EPD = ml
EPD = ½ (2m - 1) l

where m is a counter {1,2,3....}

speed of sound in dry air vw = 331.5 + 0.6 T  
(strings)
(pendulum)
T = 2p [ L / g]

(standing waves)
loop = ½l

open-open pipe
rods only clamped at their centers
fn = ( n + 1 ) fo for the fundamental
A-N-A
L = 1 loop = ½l
open-closed pipe fn = ( 2n + 1 ) fo for the fundamental
A-N
  L = ½ loop = ¼l
clamped-clamped wire fn = ( n + 1 ) fo for the fundamental
N-A-N
L = 1 loop = ½l

 

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