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

In summary, the conversation discusses an experiment involving creating a standing wave with a string and a hanging mass. The graph plotted from the experiment has a slope of 1/(u*f^2), where u is the linear density and f is the frequency. The conversation then asks about the y-intercept of the graph and speculates that it represents air friction. The speaker requests for a copy of the graph to be uploaded for further discussion.
  • #1
Simon George
7
0
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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  • #2
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.
 
  • #3
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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1. What is the y-intercept of a lambda square?

The y-intercept of a lambda square is the point at which the graph of lambda square intersects the y-axis. It represents the value of lambda square when the tension of the standing wave is zero.

2. How is the y-intercept of a lambda square related to the tension of a standing wave?

The y-intercept of a lambda square is inversely proportional to the tension of a standing wave. This means that as the tension of the standing wave increases, the y-intercept of a lambda square decreases.

3. Can the y-intercept of a lambda square be negative?

Yes, the y-intercept of a lambda square can be negative if the tension of the standing wave is high enough. This indicates that the value of lambda square is negative, which is possible in certain mathematical equations.

4. How can the y-intercept of a lambda square be calculated?

The y-intercept of a lambda square can be calculated by finding the point where the graph of lambda square crosses the y-axis. This can be done by plugging in a tension value of zero into the equation for lambda square and solving for the corresponding value.

5. What does the y-intercept of a lambda square represent in a physical context?

In a physical context, the y-intercept of a lambda square represents the minimum tension required for a standing wave to exist. This is because a tension of zero would result in no standing wave, and the y-intercept is the point at which the tension is zero.

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