How Do Doppler Effect and Spring Motion Influence Perceived Sound Frequencies?

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The discussion focuses on calculating the highest and lowest frequencies perceived by an observer due to the Doppler effect and spring motion. The setup involves a block with a speaker attached, having a spring constant of 20.0 N/m and a total mass of 5.00 kg, emitting sound at 440 Hz. Participants seek clarification on the formulas used for these calculations, specifically referencing kinetic and potential energy equations and frequency adjustment formulas. The key equations include the conservation of energy and the standard Doppler effect formula. Understanding these principles is essential for solving the problem accurately.
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A block with a speaker bolted to it is connected to a spring having spring constant k= 20.0 N/m as in Figure P17.40. The total mass of the block and speaker is 5.00 kg, and the amplitude of this unit's motion is 0.500 m. (a) If the speaker emits sound waves of frequency 440 Hz, determine the highest and lowest frequencies heard by the person to the right of the speaker. (b) If the maximum sound level heard by the person is 60.0 dB when he is closest to the speaker, 1.00 m away, what is the minimum sound level heard by the observer? Assume that the speed of sound is 343 m/s.
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The solution
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Can some one tell me what are the formulas they used in part a ? I can't find them in my book (Halliday, fundamentals of physics)
 
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Hitman6267 said:
Can some one tell me what are the formulas they used in part a ? I can't find them in my book (Halliday, fundamentals of physics)

Hi Hitman6267! :smile:

The first is KE + PE = constant (and PE = 1/2 kx2).

The second is the standard formula for frequency at different speeds.
 

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