- #1
kent davidge
- 931
- 56
Change in frequency with a small change in tension (guitar string)
Click For Summary
Homework Help Overview
The discussion revolves around the relationship between frequency changes and tension adjustments in guitar strings, focusing on how small changes in tension affect frequency. The context involves mathematical approximations and series expansions relevant to the problem.
Discussion Character
- Exploratory, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the application of a mathematical approximation for small values, specifically the series expansion of the square root function. There is an attempt to connect this approximation to the problem at hand, with one participant expressing uncertainty about deriving the required expression.
Discussion Status
The conversation is ongoing, with participants exploring the mathematical foundations of the problem. Some guidance has been provided regarding the series expansion, but there remains a lack of consensus on how to fully address the problem as posed.
Contextual Notes
One participant notes a language barrier, which may influence their ability to articulate their understanding and questions. Additionally, the mentor's intervention to clarify the thread title suggests a focus on improving the clarity of the discussion.
- #2
PietKuip
- 371
- 45
[itex]\sqrt{1+x} \approx 1 + x/2[/itex] when [itex]x \ll 1[/itex]
- #3
kent davidge
- 931
- 56
ohhh thanks... I see that my answer was correct by checking my last formula with random numbers, but I'm still unable to solve it to get the expression as the problem asks. (sorry my english)
- #4
PietKuip
- 371
- 45
It is the first terms of the series expansion of [itex]\sqrt{1+x}[/itex] close to 1.
- #5
gneill
Mentor
- 20,989
- 2,934
Mentor's note: Please note that I changed the thread title to make it more descriptive of the problem. The original title was entirely too vague.
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