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Chapter 13

PHYS 1C Chapter 13: Chapter 13 Notes

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PHYS1C Chapter 13 Notes: Mechanical Waves Mechanical waves: waves that disturb and propagate through a medium o Water waves, sound waves Electromagnetic waves: do not require a medium to propagate o Light waves, radio waves 13.1 Propagation of a Disturbance Wave motion: transfer of a disturbance through space without the transfer of matter o Propagation of disturbance represents transfer of energy o All waves carry energy; amount of energy transmitted through a medium and the mechanism for the transfer differs from case to case Mechanical waves require: o Some source of disturbance o A medium that can be disturbed o Some physical mechanism where elements of the medium can influence one another disturbance of one element causes another disturbance, thus causing a propagation class of mechanical waves: pulse travels when a wave is created o transverse waves: disturbed elements move perpendicular to direction of propagation o longitudinal waves: elements of medium undergo displacements parallel to direction of propagation (sound waves, stretched springcoil) mathematical representation of a wave pulse o figure a: the vertical position of the string at each value of x at time t = 0 is represented by y(x, 0) = f(x) o figure b: speed of the pulse is v, so the pulse travels at a distance vt at time t. The shape of the pulse at time t is the same as it was at time t = 0. Therefore, the string at x at time t has the same y position as an element located at x vt had at time t = 0. Y(x, t) = y(x vt, 0) o pulse traveling to the right: y(x, t) = f(x vt) o pulse traveling to the left: y(x, t) = f(x + vt) o function y: considered the wave function o waveform: a curve representing the actual geometric shape of the pulse at time t 13.2 Analysis Model: Traveling Wave the brown represents a snapshot of a wave at time t = 0 the blue represents a snapshot of a wave at time t wave motion: the entire waveform moves to the right so the brown curve moves until it reaches the blue curve
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