Topics

~~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.

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