How Does Mersenne's Law Affect String Vibration Characteristics?

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In summary, Mersenne's Law states that the frequency of a vibrating string is inversely proportional to its length and directly proportional to the square root of its tension. This means that as the length of a string decreases, its frequency increases, and as the tension on the string increases, its frequency also increases. This law has a significant impact on the characteristics of string vibrations, as it determines the pitch and timbre of a string instrument. It also helps explain why shorter and tighter strings produce higher-pitched sounds, while longer and looser strings produce lower-pitched sounds. Additionally, this law has been used to develop mathematical models and formulas for tuning stringed instruments, making it an essential concept in the study of acoustics and music
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Ague
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Hi! I'm a Senior in High School, doing the International Baccalaureate in Madrid, Spain. I entered this site to find some information about a topic I want to do an investigation on (Mersenne's Law, how pitch in a vibration of a string changes with length, tensión, thikness and maybe temperature).
I loved this site and I wanted to ask some questions in a post, so I logged in. It is a very usefull comunity, thank you everyone!
 
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Welcome to PF!

Try creating a post in the General Physics forum and ask your question. Have you researched in online via google searches. I'm sure there are some videos at Khan Academy or elsewhere that cover string vibration and length.

Here's one reference to get started:

https://www.khanacademy.org/science...standing-waves-ap/v/standing-waves-on-strings
and a Hyperphysics summary

http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/string.html
Also you might more info in the Openstax.org Physics books:

https://cnx.org/contents/pZH6GMP0@1.387:4PtYELqr@4/Wave-Speed-on-a-Stretched-String
And welcome again.

Jedi
 
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