How do you find the displaced amplitude of sound?

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SUMMARY

The discussion focuses on calculating the displaced amplitude of sound generated by a loudspeaker with a diameter of 30 cm vibrating at a frequency of 2 kHz and producing a pressure of 55.1 N/m². The relevant parameters include air density at 1.59 kg/m³ and the speed of sound at 340 m/s. The wavelength is determined to be 0.17 m (or 170 cm). The dimensions of the loudspeaker are deemed unnecessary for the solution, emphasizing the importance of understanding sound wave properties and their relationships.

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Homework Statement



A loudspeaker of 30cm diameter vibrates at 2kHz. Given that the pressure generated is 55.1N/m2, determine the displaced amplitude.
Assume air density is 1.59kg/m3 and that the speed of sound is 340m/s.

I have been told that the dimensions given for the loadspeaker is a red herring and not needed in the solution of hte question.

How do you find the displaced amplitude of sound?

Homework Equations





The Attempt at a Solution



v = Velocity = 340m/s
f = Frequency = 2kHz = 2000Hz
 = Wavelength =




Wavelength  = 0.17m (170cm)
 
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Welcome to PF :smile:

I don't know the answer myself, but is there nothing in your textbook or class notes relating the amplitude of vibration for sound waves?

p.s. some characters you are typing are not showing up properly, for example in "xxx = Wavelength =", the "xxx" (whatever that is) does not show up.
 
Yes I saw the missing characters after I posted it.

I worked it out after I posted the message.

I have the answer at work so I will post it and how I got it later.
 

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