Intensity Intensity ensity Sound wave #1 AÃA 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.01 Time (seconds) -10 --2 L.10 -10 -8 -6 --2 -4 -6 --8 -10 960 +2 Sound wave #2 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0do1 odma Time (seconds) Sound wave #3 ndoa 0004 Lodos Todos odaz 0.008 0.009 0.01 ndne o dog nhi

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Chapter1: Units, Trigonometry. And Vectors
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Can you please help me find the frequencies and amplitudes? Thank you!
This educational page presents three graphs representing different sound waves. Each graph plots Intensity on the vertical axis against Time (seconds) on the horizontal axis. The waves are labeled Sound wave #1, Sound wave #2, and Sound wave #3. Here is a detailed description of each graph:

### Sound wave #1:
- **Graph Description**: The wave completes one full cycle from 0 to 0.005 seconds, indicating that it has a longer wavelength compared to the others.
- **Amplitude**: The wave peaks at approximately 10 and troughs at -10.

### Sound wave #2:
- **Graph Description**: The wave completes one full cycle from 0 to 0.0025 seconds. It is more frequent compared to Sound wave #1, indicating a higher frequency.
- **Amplitude**: Similar amplitude as Sound wave #1, peaking at approximately 10 and troughing at -10.

### Sound wave #3:
- **Graph Description**: The wave completes multiple cycles compared to the other waves. A full cycle is completed in about 0.0017 seconds, indicating the highest frequency among the three.
- **Amplitude**: Peaks at approximately 10 and troughs at -10, consistent with the previous waves.

### Analysis Task:
1. **What are the frequencies and the amplitudes of these waves?**

   - **F sound-wave #1:** _Type here_ Hz
     - **Amplitude:** _Type here_ Volts
   
   - **F sound-wave #2:** _Type here_ Hz
     - **Amplitude:** _Type here_ Volts
   
   - **F sound-wave #3:** _Type here_ Hz
     - **Amplitude:** _Type here_ Volts

*Note: To calculate the frequency of each wave, consider the time taken for one complete cycle and use the formula \( f = \frac{1}{T} \) where \( T \) is the period of the wave.*
Transcribed Image Text:This educational page presents three graphs representing different sound waves. Each graph plots Intensity on the vertical axis against Time (seconds) on the horizontal axis. The waves are labeled Sound wave #1, Sound wave #2, and Sound wave #3. Here is a detailed description of each graph: ### Sound wave #1: - **Graph Description**: The wave completes one full cycle from 0 to 0.005 seconds, indicating that it has a longer wavelength compared to the others. - **Amplitude**: The wave peaks at approximately 10 and troughs at -10. ### Sound wave #2: - **Graph Description**: The wave completes one full cycle from 0 to 0.0025 seconds. It is more frequent compared to Sound wave #1, indicating a higher frequency. - **Amplitude**: Similar amplitude as Sound wave #1, peaking at approximately 10 and troughing at -10. ### Sound wave #3: - **Graph Description**: The wave completes multiple cycles compared to the other waves. A full cycle is completed in about 0.0017 seconds, indicating the highest frequency among the three. - **Amplitude**: Peaks at approximately 10 and troughs at -10, consistent with the previous waves. ### Analysis Task: 1. **What are the frequencies and the amplitudes of these waves?** - **F sound-wave #1:** _Type here_ Hz - **Amplitude:** _Type here_ Volts - **F sound-wave #2:** _Type here_ Hz - **Amplitude:** _Type here_ Volts - **F sound-wave #3:** _Type here_ Hz - **Amplitude:** _Type here_ Volts *Note: To calculate the frequency of each wave, consider the time taken for one complete cycle and use the formula \( f = \frac{1}{T} \) where \( T \) is the period of the wave.*
Expert Solution
Step 1: Given information and calculating the frequency

Frequency is the number of times a wave  repeats itself per unit time.

Frequency = 1/ T 

T = time period of one oscillation of a wave

For Wave1 : 

T = 0.004 s 

T = 1/0.004

F = 250 Hz 


For Wave2 :

T = 0.002 s

F = 500 Hz 


For Wave3 :

T = 0.001 s

F = 1000 Hz










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