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Transcript of Radio Waves
How does this relate to the trigonometric functions?
Radio waves can only mimic two of the trigonometric functions we learned about in class; sine and cosine. Their shapes in the three cases (as shown in picture) have ranges of long to short, but are consistent in a single length. Due to the fact that they lack asymptotes, they cannot represent tangent or any of the reciprocal functions.
What was the discovery process?
What are they used for?
Radio waves are generally used for fixed/mobile radio communication, broadcasting, radar (and other navigation systems of the sort), communications satellites, computer networks and innumerable other applications.
What are they, and how do they occur?
Radio waves are one of many types of electromagnetic radiation. They are distinguishable by their long wavelengths, and as all other electromagnetic waves, travel at the speed of light. Naturally occurring radio waves are made by lightning, or by astronomical objects.
So, how do they work?
These waves are sent through radio transmitters, and received by radio receivers. Different frequencies have different results while passing through Earth's atmosphere; long waves can diffract around large obstacles like mountains and follow earthly patterns in what are known as ground waves, while medium waves can reflect off the ionosphere and return to earth beyond the horizon in what are known as skywaves. Very short wavelengths bend or diffract very little.
This deals with the motion of low frequency radio waves. Using a certain formula, one could find the frequency and length of certain pitches caused by radio waves.
They were first predicted in 1867 by Scottish mathematical physicist James Clerk Maxwell. His mathematical theory, called Maxwell's equations, describe radio waves as electromagnetism that travels through space, radiated by a charged particle as it undergoes acceleration. In 1887, Heinrich Hertz proved the existence of Maxwell's electromagnetic waves by creating radio waves in his laboratory, showing that they exhibited the same wave properties as light: standing waves, refraction, diffraction, and polarization. Radio waves were first used for communication in the mid 1890s by Guglielmo Marconi, who developed some of the first practical radio equipment.
Graph sin(1320πx) for the note E, and graph sin(880πx) for the note A. Compare the two graphs.
(Sine is more logical to use in this situation, but if shifted, this function can be made a cosine function)
(The graphs should look something like this)
By graphing these functions out, you should be able to see the difference between the frequencies, as lower notes (in this case A) have lower frequencies than those of higher pitches (in this case E).