Determining the speed of sound in air

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The discussion revolves around determining the speed of sound in air by measuring the time shift between a microphone and a speaker at varying frequencies. The user has collected data showing the relationship between frequency and time shift, with a constant distance of 0.03 meters between the two devices. They propose a linear relationship between time shift and frequency but are struggling to interpret the results and the underlying physical process causing the observed time shift. Clarification is sought on the meaning of "shift in time" in the context of the experiment. Understanding this relationship is crucial for accurately calculating the speed of sound based on the experimental data.
Freefeynman123
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Hello!

I have a problem with determining speed of sound basing on a data from laboratory.

1. Homework Statement

I have to determine speed of sound by measuring the shift of time in microphone compared to speaker. The distance between them is constant and I'm changing the frequency in generator, the results are:

Frequency [kHz] Shift [us]
6,42 0
6,91 68
7,41 22
7,88 20
8,4 68
8,88 2
9,425 42
9,9 23

The distance is S = 0,03 [m]

Homework Equations


I think that probably:

t = a*f + b

where t is time shift and f is frequency

The Attempt at a Solution



I tried to fit a line to the results, but I cannot interpret the output.

Can someone help me? I would be very pleased.
 
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What does the experiment mean by "shift in time"?
i.e. what is the physical process that gives rise to the time shift you observe?
 

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