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 346 m/s through air with a uniform density of 2.11 kg/m³. The vertical axis scale is set by Aps = 4.20 mPa. If the displacement function of the wave is written as s(x, t) = Sm cos(kx - wt), what are (a) sm, (b) k, and (c) w? The air is then cooled so that its density is 2.15 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) w? Ap (mPa) -Aps 2.10 -Ap, t (ms)
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 346 m/s through air with a uniform density of 2.11 kg/m³. The vertical axis scale is set by Aps = 4.20 mPa. If the displacement function of the wave is written as s(x, t) = Sm cos(kx - wt), what are (a) sm, (b) k, and (c) w? The air is then cooled so that its density is 2.15 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) w? Ap (mPa) -Aps 2.10 -Ap, t (ms)
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(a)
Let f denotes the frequency of the wave and T denotes the time period. Therefore, the frequency of the wave can be determined as,
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