Air Temperature Affects 512HZ Tuning Fork Resonance

AI Thread Summary
The discussion revolves around determining the air temperature based on the resonance of a 512Hz tuning fork over a water-filled bottle. The first harmonic occurs when the water level is 17cm from the bottle opening, suggesting a relationship between the wavelength and the length of the air column. The fundamental frequency in a closed pipe has a wavelength that is four times the length of the pipe, which is relevant for calculating the speed of sound. Participants express uncertainty about the equations needed to connect wave speed, wavelength, and frequency. Understanding these relationships is crucial for solving the problem and finding the air temperature.
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Homework Statement


a 512HZ tuning fork held over a bottle receives its 1st harmonic when the level of water is 17cm from the bottle opening. what is the temp of the air


Homework Equations


sound equation


The Attempt at a Solution


I have no idea where to start.
 
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Do you know an equation that relates the speed of a wave to the wavelength and frequency?
 
wavelength

is 17cm the wave length
 
What do you know about thewavelength of the fundamental frequency of a closed pipe?
 
not much all i know is that there's some kind of pattern
 
for a pipe closed at one end the fundamental frequency has a wavelength 4 times the pipe length.
 

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