The distance between consecutive peaks of a transverse wave is 1.45m. Eight peaks pass by you in 13.7s. a. How fast is this wave travelling? b. Could this be a sound wave? Explain your reasoning.
The distance between consecutive peaks of a transverse wave is 1.45m. Eight peaks pass by you in 13.7s. a. How fast is this wave travelling? b. Could this be a sound wave? Explain your reasoning.
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The distance between consecutive peaks of a transverse wave is 1.45 m. Eight peaks pass by you in 13.7 seconds.
a. How fast is this wave travelling?
b. Could this be a sound wave? Explain your reasoning.
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**Explanation:**
- Distance between peaks (wavelength) = 1.45 meters
- Time for 8 peaks to pass = 13.7 seconds
**Calculations:**
1. **Find the frequency:**
- Number of wavelengths (peaks) = 8
- Time = 13.7 seconds
- Frequency (f) = Number of peaks / Time = 8 / 13.7 Hz
2. **Calculate the speed of the wave:**
- Speed (v) = Wavelength (λ) × Frequency (f)
- v = 1.45 m × (8 / 13.7) Hz
3. **Determine if this could be a sound wave:**
- Compare the calculated wave speed with typical sound speeds in various mediums (e.g., air, water, etc.).
**Conclusion:**
- Based on the speed calculated, analyze whether the wave could realistically be a sound wave, considering standard sound speeds."
Transcribed Image Text:**Text for Educational Website:**
The distance between consecutive peaks of a transverse wave is 1.45 m. Eight peaks pass by you in 13.7 seconds.
a. How fast is this wave travelling?
b. Could this be a sound wave? Explain your reasoning.
---
**Explanation:**
- Distance between peaks (wavelength) = 1.45 meters
- Time for 8 peaks to pass = 13.7 seconds
**Calculations:**
1. **Find the frequency:**
- Number of wavelengths (peaks) = 8
- Time = 13.7 seconds
- Frequency (f) = Number of peaks / Time = 8 / 13.7 Hz
2. **Calculate the speed of the wave:**
- Speed (v) = Wavelength (λ) × Frequency (f)
- v = 1.45 m × (8 / 13.7) Hz
3. **Determine if this could be a sound wave:**
- Compare the calculated wave speed with typical sound speeds in various mediums (e.g., air, water, etc.).
**Conclusion:**
- Based on the speed calculated, analyze whether the wave could realistically be a sound wave, considering standard sound speeds.
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