Two sound waves have displacement graphs, as shown in the attatched image. The two waves are moving through the same medium. For each of the variables listed below, determine whether the top graph has a higher value, the bottom graph has a higher value, or they have the same value: amplitude frequency angular frequency period wave velocity wave number wavelength energy maximum particle velocity maximum particle acceleration maximum pressure intensity

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Chapter1: Units, Trigonometry. And Vectors
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Two sound waves have displacement graphs, as shown in the attatched image. The two waves are moving through the same medium. For each of the variables listed below, determine whether the top graph has a higher value, the bottom graph has a higher value, or they have the same value:

  • amplitude
  • frequency
  • angular frequency
  • period
  • wave velocity
  • wave number
  • wavelength
  • energy
  • maximum particle velocity
  • maximum particle acceleration
  • maximum pressure
  • intensity
The image contains two line graphs that depict waveforms over time. Here’s a detailed description:

### Graph Details:

#### Top Graph:
- **Y-axis**: Labeled "displacement (mm)" ranging from -3mm to 3mm.
- **X-axis**: Labeled "Time (s)" with intervals marked at every 5 seconds, ranging from 0 to 20 seconds.
- **Waveform**: The graph shows a sinusoidal waveform oscillating between approximately +3mm and -3mm. Peaks are observed at around 5s, 10s, and 15s indicating regular periodicity.

#### Bottom Graph:
- **Y-axis**: Similar to the top graph, labeled "displacement (mm)" ranging from -3mm to 3mm.
- **X-axis**: Also labeled "Time (s)" with the same intervals.
- **Waveform**: This graph displays another sinusoidal waveform, but it appears to have a phase shift compared to the top graph. The peaks occur between the peaks of the top graph, indicating the waves are out of phase.

### Summary:
These graphs represent periodic waveforms, demonstrating concepts such as amplitude, wavelength, and phase difference. They can be used to study oscillations and harmonics in physics or engineering contexts.
Transcribed Image Text:The image contains two line graphs that depict waveforms over time. Here’s a detailed description: ### Graph Details: #### Top Graph: - **Y-axis**: Labeled "displacement (mm)" ranging from -3mm to 3mm. - **X-axis**: Labeled "Time (s)" with intervals marked at every 5 seconds, ranging from 0 to 20 seconds. - **Waveform**: The graph shows a sinusoidal waveform oscillating between approximately +3mm and -3mm. Peaks are observed at around 5s, 10s, and 15s indicating regular periodicity. #### Bottom Graph: - **Y-axis**: Similar to the top graph, labeled "displacement (mm)" ranging from -3mm to 3mm. - **X-axis**: Also labeled "Time (s)" with the same intervals. - **Waveform**: This graph displays another sinusoidal waveform, but it appears to have a phase shift compared to the top graph. The peaks occur between the peaks of the top graph, indicating the waves are out of phase. ### Summary: These graphs represent periodic waveforms, demonstrating concepts such as amplitude, wavelength, and phase difference. They can be used to study oscillations and harmonics in physics or engineering contexts.
Expert Solution
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Amplitude (A) of a wave is the maximum displacement of the particle. 

 

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