Question on finding the frequency of a sound wave

AI Thread Summary
To find the frequency of a sound wave, the distance between a node and the nearest antinode is crucial, as it represents λ/4. Given that this distance is 7.55 m, the full wavelength (λ) is calculated as 7.55 m * 4 = 30.2 m. Using the speed of sound in air (343 m/s), the frequency is determined by the equation frequency = velocity / wavelength. Substituting the values, the correct frequency is 11.36 Hz, not 22.72 Hz. The initial calculation was incorrect due to misinterpretation of the relationship between nodes and antinodes.
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Homework Statement


The distance between a node and the nearest antinode of a standing sound wave in air is 7.55 m. What is the frequency of this wave? (Use 343 m/s as the speed of sound in air.)


Homework Equations


velocity = wavelength * frequency


The Attempt at a Solution


I started by trying to find the wavelength which I deemed to be 7.55*2 = 15.1
I then just plugged it into the equation above, which got me to:
343 = 15.1 * frequency
I found the frequency to be 22.72 Hz, but apparently it's wrong and I don't understand why.
 
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The distance between a node and the nearest antinode of a standing sound wave is λ/4.
 

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