Lecture 9 Notes

Lecture 9 Notes - Recap of last lecture Sound waves: y(x,t)...

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Recap of last lecture Sound waves: y(x,t) = Acos(kx- ϖ t) for wave traveling in the +x direction (same as any other wave). But can also be described in terms of pressure fluctuation. P = BkAsin(kx- ϖ t) P max = BkA Pressure varies sinusoidally but has a π/2 (90) phase shift wrt displacement (y(x,t)). Human hearing Frequency of human hearing ranges between 20-20000Hz At a given frequency greater the pressure amplitude louder the sound feels. Different frequency is perceived as different pitch Musical sounds are a complex mix of frequencies
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Different instruments give the same pitch different “flavor”
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Opening valves along a coiled tube will change the tone
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a factor of 4 (while leaving the pressure amplitude unchanged) A. Displacement increases by a factor of 16 B. Displacement increases by a factor of 4 C. Displacement decreases by a factor of 16 D. Displacement decreases by a factor of 4 E. Displacement stays the same
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Lecture 9 Notes - Recap of last lecture Sound waves: y(x,t)...

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