What are waves? They can be described briefly as disturbances in a medium which transfer energy and information from point A to point B.* The key fact is that no physical object actually travels from point A to point B --- and yet both energy and information make the trip.
* Yes, yes, light waves require no medium and can travel through a vacuum. They are a special case.
As we will see, the mathematical description of waves
should look very familiar to you,
now that you have been studying simple harmonic motion.
The major difference is that while SHM involves
functions of time
y(t) = A cos(ωt)
waves involve functions
of both time and space
y(x,t) = A cos(kx - ωt)
Ready to try a problem involving a wave?
One very common type of wave occurs when a long, thin wire or cord is stretched under some tension, and then jiggled, or plucked, or perturbed.
In case we have time ...
Copyright © Michael Richmond.
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