## Saturday, October 5, 2013

### Wikipedia contribution to fundamental frequency

made more animations for the Wikipedia in my own free time.
trying to add end correction
https://en.wikipedia.org/wiki/Acoustic_resonance

 author: Juan Aguirregabiria and lookang (this remix version) Key features designed: Symbolic text to support visuals NAN, node, anti node node etc. Can simulate closed or open end of a pipe Microscopic visual of molecules enhanced with order and random position referencing tat leong codehttps://dl.dropbox.com/s/y8xsj6zx4xaqsur/ejs_longitudinal_waves_leetl_wee_v3.jar dt for slowing and speed up simulation  amplitudes for envelope of displacement visuals pressures for learning of real equipment sound detector to be placed at the maximum/minimum pressure from the ambient atmospheric as highlighted by kian wee inputs field for calculation of any length of pipe modelling-mathematical features as highlighted by peng poo and oon how as key to deepening learning
https://en.wikipedia.org/wiki/Fundamental_frequency

Where f0 is the fundamental frequency and T is the fundamental period.

F0leftclosed

F0rightclosed
The fundamental frequency of a sound wave in a tube with a single CLOSED end can be found using the following equation:
$f_0 = \frac{v}{4L}$
L can be found using the following equation:
$L = \frac{\lambda}{4}$
λ (lambda) can be found using the following equation:
$\lambda = \frac{v}{f_0}$

F0bothclosed

F0bothopen
The fundamental frequency of a sound wave in a tube with either BOTH ends OPEN or CLOSED can be found using the following equation:
$f_0 = \frac{v}{2L}$
L can be found using the following equation:
$L = \frac{\lambda}{2}$
The wavelength, which is the distance in the medium between the beginning and end of a cycle, is found using the following equation:
$\lambda = \frac{v}{f_0}$
Where:
f0 = fundamental frequency
L = length of the tube
v = wave velocity of the sound wave
λ = wavelength