Looking for formula to equate force to oscillation frequency/length

AI Thread Summary
To determine the tension strength of a guitar string using its oscillation frequency and length, one can refer to the physics of vibrating strings. The fundamental frequency is related to the tension, length, and mass per unit length of the string. Dimensional analysis can provide insights, but specific formulas may be more effective. Resources like the Wikipedia page on vibrating strings can offer foundational information. Understanding these relationships is key to accurately calculating string tension.
dazzlepecs
Messages
4
Reaction score
0
Hi, i am interested in figuring out the tension strength on a guitar string, by using its oscillation frequency (or fundamental harmonic) and its length.. I looked online but can't find much... I tried some dimensional analysis but couldn't come up with much
 
Physics news on Phys.org
dazzlepecs said:
Hi, i am interested in figuring out the tension strength on a guitar string, by using its oscillation frequency (or fundamental harmonic) and its length.. I looked online but can't find much... I tried some dimensional analysis but couldn't come up with much

Welcome to the PF. This web page should get you started:

http://en.wikipedia.org/wiki/Vibrating_string

.
 

Thread 'Maxwell stress tensor'

This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
View full post »
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'

Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'

Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
View full post »

Similar threads

A NMR flip angle - angle of nutation
Replies
2
Views
1K
Frequency spectrum of a clarinet
Replies
1
Views
3K
B Harmonic oscillator and simple pendulum time period
Replies
36
Views
3K
I Understanding the dynamics of a perturbed quantum harmonic oscillator
Replies
3
Views
1K
Rotating simple harmonic oscillator
Replies
11
Views
1K
How to derive Mersenne's fundamental frequency formula?
Replies
1
Views
3K
How to find formula for resonant frequency of a forced oscillator.
Replies
3
Views
14K
B Rogowski coil tension calculation formula
Replies
17
Views
2K
A Pair of interacting systems, driven coupled harmonic oscillators
Replies
7
Views
2K
Where does natural frequency comes from?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top