Transverse and longitudinal waves
Determination of
frequency and wavelength
Stationary waves
Description
In this Fixed End string wave model, lets consider a narrow fixed end
string along the OX axis. The simulation will display the first 5 normal
modes, which are
From the drop-down menu, the mode n = 1, ...,5, may be
selected.
Units are arbitrary set to be in SI unit for calculation
purposes
The modeling equation is governed by u(t,x) where
u(t,x)
= A sin(n π x) cos(ω t + δ) when both ends are closed.
Play
with the Model. Test what you've learned by exploring the amplitudes,
wavelengths, periods, frequencies and wave velocities.
Sample Learning Goals
(a) show an understanding and use the terms displacement, amplitude, phase
difference, period,
frequency, wavelength and speed
(b) deduce, from
the definitions of speed, frequency and wavelength, the equation v = fλ
(c)
recall and use the equation v = fλ
(f) analyse and interpret
graphical representations of transverse and longitudinal
waves
(i) determine the wavelength of sound using stationary waves.
(b)
show an understanding of experiments which demonstrate stationary waves
using microwaves, stretched strings and air columns
(c) explain the
formation of a stationary wave using a graphical method, and identify
nodes and antinodes
Activities
-
Compute the position of the nodes(always zero displacement) for mode
number n=1,2,3,4,5 cases.
-
Use the simulation to check your calculation.
-
select the correct modeling equation for fixed end string n=1,2,3,4,5
respectively.
-
how can you suggest is the parameter that describe these series of
stationary waves.
Version:
-
http://weelookang.blogspot.sg/2015/07/ejss-standing-wave-in-pipe-model.html
-
http://iwant2study.org/lookangejss/04waves_12generalwaves/ejs/ejs_model_pipestringwee01.jar
-