D) On each of your plots in A) & B) use a dotted line (or a different color) to draw how the plot changes if the 400 Hz sound is made underwater, where the pressure is the same, but sound travels 5 time faster than in air.

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4. Undisturbed, the air has a pressure of 100 kPa (kiloPascals), otherwise known as atmospheric
pressure. Sound waves are pressure waves where the pressure of the medium is slightly higher or
lower than usual. They travel at 330 m/s in air. For the following, be sure to label your axes and
intervals.
A) Make a plot of pressure vs. time at one point in space for two complete cycles of a 400 Hz
harmonic sound wave that has a maximum pressure 1 kPa above atomospheric pressure.
B) Make a plot of pressure vs. distance at one point in time for this same wave over two cycles.
C) On each of your plots in A) & B) use a dashed line (or a different color) to draw how the plot
changes if the frequency is doubled to 800 Hz.
D) On each of your plots in A) & B) use a dotted line (or a different color) to draw how the plot
changes if the 400 Hz sound is made underwater, where the pressure is the same, but sound
travels 5 time faster than in air.
Transcribed Image Text:4. Undisturbed, the air has a pressure of 100 kPa (kiloPascals), otherwise known as atmospheric pressure. Sound waves are pressure waves where the pressure of the medium is slightly higher or lower than usual. They travel at 330 m/s in air. For the following, be sure to label your axes and intervals. A) Make a plot of pressure vs. time at one point in space for two complete cycles of a 400 Hz harmonic sound wave that has a maximum pressure 1 kPa above atomospheric pressure. B) Make a plot of pressure vs. distance at one point in time for this same wave over two cycles. C) On each of your plots in A) & B) use a dashed line (or a different color) to draw how the plot changes if the frequency is doubled to 800 Hz. D) On each of your plots in A) & B) use a dotted line (or a different color) to draw how the plot changes if the 400 Hz sound is made underwater, where the pressure is the same, but sound travels 5 time faster than in air.
B) Make a plot of pressure vs. distance at one point in time for this same wave over two cycles.
C) On each of your plots in A) & B) use a dashed line (or a different color) to draw how the plot
changes if the frequency is doubled to 800 Hz.
D) On each of your plots in A) & B) use a dotted line (or a different color) to draw how the plot
changes if the 400 Hz sound is made underwater, where the pressure is the same, but sound
travels 5 time faster than in air.
A) P 100 KPa
Plx,t)= Pot A sin (kx-wtr)
Plx,t) Po+ Asın (kx-wt)
Y= 300 m /5
f: 400 Hz
w= 2T f• 2T400 Ha=800 T Hz=2513.27H2
V-0 → k= W: 2513.27 Hz , 7. co1lo mi'
330 m/s
P(x,t)- 100K+Ik Sın(7.616x - 251 3.276)
P(0,+)= 100k + Ik.Sin(-2513.276)
* 10OL - Ik Sın(2513.27t)
100
99
0.003
0.004
0.CO
0.00 2
B) t.os
P(x,0) = 100 K + Ik.Sin (7.6016x)
kPa
101
100
dist.
c) fco 800 Hz
w': 2 TTfe= 1600T H2= 5026.SS Ha
V = v'= 330m/s
V= W → k' = w-S0 26.5S Hz = 15.23 m'
k'
330 m/s
P(x,t): 100 K+Ik Sın (15.23x- 5026.5S E)
P(0,t): 100 k -lk Sin (502o.5St)
Transcribed Image Text:B) Make a plot of pressure vs. distance at one point in time for this same wave over two cycles. C) On each of your plots in A) & B) use a dashed line (or a different color) to draw how the plot changes if the frequency is doubled to 800 Hz. D) On each of your plots in A) & B) use a dotted line (or a different color) to draw how the plot changes if the 400 Hz sound is made underwater, where the pressure is the same, but sound travels 5 time faster than in air. A) P 100 KPa Plx,t)= Pot A sin (kx-wtr) Plx,t) Po+ Asın (kx-wt) Y= 300 m /5 f: 400 Hz w= 2T f• 2T400 Ha=800 T Hz=2513.27H2 V-0 → k= W: 2513.27 Hz , 7. co1lo mi' 330 m/s P(x,t)- 100K+Ik Sın(7.616x - 251 3.276) P(0,+)= 100k + Ik.Sin(-2513.276) * 10OL - Ik Sın(2513.27t) 100 99 0.003 0.004 0.CO 0.00 2 B) t.os P(x,0) = 100 K + Ik.Sin (7.6016x) kPa 101 100 dist. c) fco 800 Hz w': 2 TTfe= 1600T H2= 5026.SS Ha V = v'= 330m/s V= W → k' = w-S0 26.5S Hz = 15.23 m' k' 330 m/s P(x,t): 100 K+Ik Sın (15.23x- 5026.5S E) P(0,t): 100 k -lk Sin (502o.5St)
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