Y-intercept of a lambda square VS tension of standing wave

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SUMMARY

The discussion centers on the relationship between the Y-intercept of a graph representing a standing wave and the tension in the wave, specifically when a string is attached to a hanging mass and a string vibrator. The slope of the graph is defined as 1/(u*f^2), where u is the linear density and f is the frequency. Participants suggest that the Y-intercept, although theoretically non-existent, may represent real-world factors such as air friction. The importance of conducting the experiment in a vacuum to eliminate this variable is emphasized.

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  • Understanding of standing wave principles
  • Familiarity with linear density and frequency in wave mechanics
  • Basic graphing skills in physics experiments
  • Knowledge of experimental conditions affecting wave behavior, such as air resistance
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  • Explore the concept of linear density in different materials
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Simon George
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Hi all!

I am doing an experiment where we create a standing wave by attaching a string to a hanging mass at one end and to a string vibrator at the other (the string passes through a pulley). When plotting the graph, the slope is inevitably 1/(u*f^2) where u is the linear density and f the frequency.

In this context, what would be the Y-intercept of the graph. Theoretically, there shouldn't be any, I know, but what does it represents in the reality of this experiment?

My guess is that it represents the friction by the air. There wouldn't be any y-intercept if this experiment was to be done in vaccum.
 
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That sounds like a good question. Can you post a copy of the graph? You can use the UPLOAD button down there next to POST REPLY and PREVIEW to take a JPG or BMP or PNG file from your computer and put it in a post.
 
anorlunda said:
That sounds like a good question. Can you post a copy of the graph? You can use the UPLOAD button down there next to POST REPLY and PREVIEW to take a JPG or BMP or PNG file from your computer and put it in a post.
 

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