L06_a - o t kx P t x P − ∆ = ∆ cos max o max P ∆ is...

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SOUND (Longitudinal) WAVES Imagine “planes” of atoms in tube of air As sound wave passes, each plane oscillates along direction of propagation Can represent as displacement of air or pressure change (90° out of phase)
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Wave function for sound Can write in terms of displacement of atoms (“planes”) from equilibrium o ( ) ( ) t kx s t x s ω = sin , max o max s is displacement amplitude (maximum displacement from equil.) Can write in terms of pressure change from equilibrium
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Unformatted text preview: o ( ) ( ) t kx P t x P − ∆ = ∆ cos , max o max P ∆ is pressure amplitude o pressure oscillations cause oscillating force on eardrum • Connection: max max s v P ρ = ∆ o is density of medium o v is wave speed ( v s ound =331 m/s + (0.6 m/s·°C)x T ) o max s is maximum LONGITUDINAL speed of element in medium • Careful: s vs x and ∆ P vs x represent longitudinal disturbance o No transverse character to sound wave...
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