The figure shows the output from a pressure monitor mounted at a point along the

Question

The figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at 343 m/s through air with a uniform density of 1.71 kg/m3. The vertical axis scale is set by ?ps = 4.40 mPa. If the displacement function of the wave is written as s(x, t) = sm cos(kx - ?t), what are (a) sm, (b) k, and (c) ?? The air is then cooled so that its density is 1.75 kg/m3 and the speed of a sound wave through it is 320 m/s. The sound source again emits the sound wave at the same frequency and same pressure amplitude. What now are (d) sm, (e) k, and (f) ??

Explanation / Answer

the change in pressure

delta P = v * p * w *Sm

Sm = delta P / ( v * p *w)

Sm = delta P / ( v * p * ( 2 *pie /T)

Sm = 8.8 * 10^-3 / ( 343 * 1.71 * ( 2 * 3.14 / (2.1 * 10^-3))

Sm = 5.01 * 10^-9 m

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