Maximum particle displacement in a sonic boom wave

[markmai86]

Homework Statement

A typical sonic boom is a solitary N wave with a peak to peak pressure amplitude of 2 lbf/ft^2 and a wavelength of 50 ft. Find the maximum particle displacement.

Homework Equations

None

The Attempt at a Solution

I've found some equations on the internet. For instance, I have the speed of the wave (u) (that I should then differentiate to get the particle displacement I think...):
u = p * C0 * rho0
or
u = c0 * S
I can't manage anyhting with these equations and I can't find anything representing the sound wave of the problem on a graph. I can't visualize the problem at all.
Could anyone give me some tips or explanations on this problem?

Thank you

 

[Carid]

I found this expression here

http://en.wikipedia.org/wiki/Particle_amplitude

ParticleDisplacement = SoundPressure / (SpeedOfSound*AirDensity*2*PI*SoundFrequency)

 

[markmai86]

I found this expression here

http://en.wikipedia.org/wiki/Particle_amplitude

ParticleDisplacement = SoundPressure / (SpeedOfSound*AirDensity*2*PI*SoundFrequency)

Thank you for the formula, but this formula includes the Sound frequency and the sound pressure which are not in the problem statement. Is it something I should know or I could find on the internet?

Thank you

 

[Carid]

Do you know any formula which brings together the velocity of a wave, its wavelength and its frequency?

As for pressure, doesn't the question include this information?

 

[markmai86]

Sorry about the sound pressure, I wrote that maybe a little too fast.

As for the formula you are talking about is it:

velcity = wavelength * frequency

?

 

[Carid]

Yes, that's the one

 

[markmai86]

Alright I think everything is working out, I'll just have to check the units as I'm not very familiar with it.

Thank you very much