- #1
leinad0213
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Homework Statement
What is the displacement amplitude of a sound wave of frequency 160.0 Hz in air at 20 °C at the pain-threshold pressure amplitude of 29.0 Pa?
f = 160 Hz
Vs = 343 m/s
ΔP = 29 Pa
Homework Equations
ΔP(x,t) = (ΔP)cos(kx - wt) = β*s*k*cos(kx - wt)
k = f/Vs
The Attempt at a Solution
ΔP = βsk
Therefore, s = ΔP/(β*k) = (ΔP*Vs)/(f*β)
β = 1.4 * 10^5 Pa
So the answer I got was 4.44*10^-4 m which is wrong. Am I missing something here?