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:
  1. Symbolic text to support visuals NAN, node, anti node node etc.
  2. Can simulate closed or open end of a pipe
  3. 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
  4. dt for slowing and speed up simulation 
  5. amplitudes for envelope of displacement visuals
  6. 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
  7. inputs field for calculation of any length of pipe
  8. 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