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Sound Wave

How do computers represent sound?

What is a sound wave? How can a sound wave be measured?

Frequently sound is described using terms such as pitch, tone, frequency, intensity or loudness (See the sound sketch applet). To understand the origins of these terms as well as to understand the mathematical models used to represent sound, this applet can help you to explore the dynamics of a sound wave. The physical model has been simplified to highlight important scientific and mathematical features. Subsequent investigations will explore additional complexities of a sound wave.

The sound wave is controlled by two parameters: the amount of initial energy put into the string (initial displacement) and the amount of tension in the string. The animation of the string has been slowed down so that model of the wave can be observed clearly.

Sample activity with instructions are below applet.



[Standalone version of the Sound Wave Applet]

Sample Activity

1. Use the Listen button to hear the sound for the current settings.

Use the sliders to adjust the two parameters.

How does each slider affect the sound that is produced?

2. Now turn on the animation of the sound wave using the START/STOP button.

What effect do the changes in the sound have on the animation of the string and the particles that you see?

How do these observations correspond to the observations from part 1?

3. Click on a single particle - its color should change to red. What is the motion of your particle?

4. Click on a second particle. How does the movement of this particle compare to the first particle?

5. Click and drag vertically on a column of particles. You may want to do this on more than one column.

What do you observe about the behavior of the column of points?

 


National Council of Teachers of Mathematics Illuminating a New Vision for School Mathematics MarcoPolo Education Foundation
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© 2000 National Council of Teachers of Mathematics
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This page last updated: April 15, 2003


The mission of the National Council of Teachers of Mathematics is to provide the vision and leadership necessary to ensure a mathematics education of the highest quality for all students. The NCTM Illuminations Web site is devoted to providing Internet resources to improve the teaching and learning of mathematics in grades pre-K through 12. The views expressed or implied on this Web site, unless otherwise noted, should not be interpreted as official positions of the Council.