Can Someone Explain Proportional Reasoning to Me?

  • Thread starter Thread starter crownedhues
  • Start date Start date
  • Tags Tags
    Proportional
Click For Summary

Homework Help Overview

The discussion revolves around understanding proportional reasoning, particularly in the context of mathematical relationships involving the variable L and its square root. Participants are exploring how changes in L affect the outcomes of related expressions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss attempts to find correlations by substituting values for L and examining the results. Questions arise regarding the implications of these substitutions and how to articulate the relationships mathematically.

Discussion Status

The conversation includes various attempts to clarify the problem, with some participants offering suggestions for comparing different values of L. There is an ongoing exchange of ideas, but no explicit consensus has been reached on the best approach to understanding the concept.

Contextual Notes

Some participants express uncertainty about their understanding and whether they are overcomplicating the problem. There is also a note of informal communication among participants, indicating a supportive atmosphere.

crownedhues
Messages
5
Reaction score
2
Homework Statement
The question is asking what would happen to T if I double L. The answer has to be in words (i.e: “T is cut in half”)
Relevant Equations
T = 2𝝅√L/g
I already tried plugging in values I saw from example problems and tried to find the correlation between the two solutions I would get, but thus far haven’t been able to find any. Maybe I’m overcomplicating this or looking at this the wrong way?
 
Physics news on Phys.org
If L=1, what is √L ?
 
Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.
 
  • Like
Likes   Reactions: berkeman
berkeman said:
If L=1, what is √L ?
it should still be 1
 
Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW. :smile:
 
berkeman said:
Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW. :smile:
no worries, that’s understandable! i think i’m catching your drift. thank you for your quick response and your help :smile:
 
  • Like
Likes   Reactions: berkeman
Emmo Amaranth said:
Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.
thank you!
 
  • Like
Likes   Reactions: berkeman
You're quite welcome! Glad to help.
 
  • Like
Likes   Reactions: berkeman

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
25
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 56 ·
2
Replies
56
Views
4K
  • · Replies 11 ·
Replies
11
Views
1K