- #1

Booney

- 6

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## Homework Statement

Consider a sound wave in air of density 1.2 kg/m

^{3}. The displacement wave has the form s(x,t)=s

_{max}cos(kx-[tex]\omega[/tex]t) where k=8.79rad/m, [tex]\omega[/tex]=3021.6 rad/s and s

_{max}=2.51 x 10

^{-7}m.

Calculate the sound pressure [tex]\Delta[/tex]P(x,t) of this wave at x=0.282m and t=0.00137s. Answer in units of Pa.

## Homework Equations

[tex]\Delta[/tex]P

_{max}=[tex]\rho[/tex]v[tex]\omega[/tex]s

_{max}

[tex]\Delta[/tex]P=[tex]\Delta[/tex]P

_{max}sin(kx-[tex]\omega[/tex]t)

## The Attempt at a Solution

I have a feeling I'm not using the correct equations because the equations I've found include a velocity, which isn't given, and don't include the displacement function. How do I relate the displacement function to the pressure equations?