Length of String (cm) Wavelength (cm) Frequency (Hz) Speed (cm/s) Standing Wave Pattern Harmonic # first 80.0 cm 24.0 Hz cm cm/s second 64.0 cm 5100 cm/s cm Hz third 32.0 cm 3600 cm/s cm Hz fourth 80.0 cm 77.0 Hz cm cm/s fifth 25.6 cm 82.0 Hz cm cm/s

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Using the information already provided in the table, complete all the blanks. Make sure all units are correct.

**Understanding Standing Wave Patterns**

This table presents an overview of standing wave patterns on a string for different harmonics and the corresponding measurements:

| Standing Wave Pattern | Harmonic # | Length of String (cm) | Wavelength (cm) | Frequency (Hz) | Speed (cm/s) |
|-----------------------|------------|------------------------|-----------------|---------------|--------------|
| ![First Harmonic Pattern](#) | First       | 80.0 cm                | [To be filled]  | 24.0 Hz       | [To be filled] |
| ![Second Harmonic Pattern](#) | Second      | 64.0 cm                | [To be filled]  | [To be filled] | 5100 cm/s     |
| ![Third Harmonic Pattern](#) | Third       | [To be filled]         | 32.0 cm         | [To be filled] | 3600 cm/s     |
| ![Fourth Harmonic Pattern](#) | Fourth      | 80.0 cm                | [To be filled]  | 77.0 Hz       | [To be filled] |
| ![Fifth Harmonic Pattern](#) | Fifth       | [To be filled]         | 25.6 cm         | 82.0 Hz       | [To be filled] |

### Explanation of Columns:

- **Standing Wave Pattern**: Illustrations showing nodes and antinodes for each harmonic.
- **Harmonic #**: Indicates the order of the harmonic (first, second, etc.).
- **Length of String (cm)**: Length of the string when resonating at the given harmonic.
- **Wavelength (cm)**: Distance between repeating points in the wave pattern.
- **Frequency (Hz)**: Frequency at which the string vibrates.
- **Speed (cm/s)**: Speed of the wave along the string. 

### Note:

- Cells marked with "[To be filled]" indicate missing data that needs calculation or input.
- Check the harmonic pattern to understand how nodes and antinodes influence wave properties.

These patterns are critical for understanding wave physics, particularly in string instruments and acoustic studies.
Transcribed Image Text:**Understanding Standing Wave Patterns** This table presents an overview of standing wave patterns on a string for different harmonics and the corresponding measurements: | Standing Wave Pattern | Harmonic # | Length of String (cm) | Wavelength (cm) | Frequency (Hz) | Speed (cm/s) | |-----------------------|------------|------------------------|-----------------|---------------|--------------| | ![First Harmonic Pattern](#) | First | 80.0 cm | [To be filled] | 24.0 Hz | [To be filled] | | ![Second Harmonic Pattern](#) | Second | 64.0 cm | [To be filled] | [To be filled] | 5100 cm/s | | ![Third Harmonic Pattern](#) | Third | [To be filled] | 32.0 cm | [To be filled] | 3600 cm/s | | ![Fourth Harmonic Pattern](#) | Fourth | 80.0 cm | [To be filled] | 77.0 Hz | [To be filled] | | ![Fifth Harmonic Pattern](#) | Fifth | [To be filled] | 25.6 cm | 82.0 Hz | [To be filled] | ### Explanation of Columns: - **Standing Wave Pattern**: Illustrations showing nodes and antinodes for each harmonic. - **Harmonic #**: Indicates the order of the harmonic (first, second, etc.). - **Length of String (cm)**: Length of the string when resonating at the given harmonic. - **Wavelength (cm)**: Distance between repeating points in the wave pattern. - **Frequency (Hz)**: Frequency at which the string vibrates. - **Speed (cm/s)**: Speed of the wave along the string. ### Note: - Cells marked with "[To be filled]" indicate missing data that needs calculation or input. - Check the harmonic pattern to understand how nodes and antinodes influence wave properties. These patterns are critical for understanding wave physics, particularly in string instruments and acoustic studies.
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