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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
Transcribed Image Text: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 Apg = 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
t (ms)
(a) Number
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
(e) Number
Units
(f) Number
Units
Expert Solution
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Step 1
Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.
(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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