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A wave is a repeating disturbance that travels through matter or space transferring only energy. Below is a model of a wave. A wave’s crest is its highest point, and its trough is its lowest point.
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- Wave Properties
Waves are disturbances that travel, transferring energy...
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The total mechanical energy of the wave is the sum of its kinetic energy and potential energy. The kinetic energy K = \(\frac{1}{2}\)mv 2 of each mass element of the string of length \(\Delta\)x is \(\Delta\)K = \(\frac{1}{2}\)(\(\Delta\)m)v y 2 , as the mass element oscillates perpendicular to the direction of the motion of the wave.
Waves are energy transport phenomenon. They transport energy through a medium from one location to another without actually transported material. The amount of energy that is transported is related to the amplitude of vibration of the particles in the medium.
Learning Objectives. By the end of this section, you will be able to: Describe the statistical interpretation of the wave function. Use the wave function to determine probabilities. Calculate expectation values of position, momentum, and kinetic energy.
The disturbance that returns to the left after bouncing off the pole is known as the reflected pulse. A portion of the energy carried by the pulse is transmitted to the pole, causing the pole to vibrate.
A transverse wave is a wave in which the particles of the medium are displaced in a direction perpendicular to the direction of energy transport. A transverse wave can be created in a rope if the rope is stretched out horizontally and the end is vibrated back-and-forth in a vertical direction.
Learning Objectives. By the end of this section, you will be able to: Explain how energy travels with a pulse or wave. Describe, using a mathematical expression, how the energy in a wave depends on the amplitude of the wave. All waves carry energy, and sometimes this can be directly observed.
