Lecture 7: Traveling Waves in Physics, Study notes of Physics

The fundamental concepts of traveling waves in physics, discussing their difference from particles, and providing an overview of mechanical, electromagnetic, and matter waves. It also introduces the concepts of transverse and longitudinal waves, and covers one-dimensional waves in detail.

Typology: Study notes

Pre 2010

Uploaded on 07/30/2009

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Lecture 7
Traveling Waves (I)
particles (localized, individual, discrete) and
wave (collective, continuous): two
fundamental models of physics
This week: (single) traveling waves (go
outward from source thru’ medium), e.g.
ripples on water, wave on a string, sound,
light...(theory applicable to all waves)
Next week: standing waves from combining
traveling waves (interference)
Next course (Phys 270): light
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pf4
pf5

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Lecture 7

Traveling Waves (I)

  • particles (localized, individual, discrete) and wave (collective, continuous): two fundamental models of physics
  • This week: (single) traveling waves (go outward from source thru’ medium), e.g. ripples on water, wave on a string, sound, light...(theory applicable to all waves)
  • Next week: standing waves from combining traveling waves (interference)
  • Next course (Phys 270): light

Outline:

Types of waves

Graphs

Displacement function

Wave model (II)

medium: substance wave moves thru’, elastic, restoring force brings back to equilibrium e.g. tension in string, gravity for waves in water

disturbance: displacement from equilibrium as wave passes (organized motion cf. random motion of thermal energy)

wave speed (v): disturbance travels outward from source, energy (but not material) transferred

Transverse waves (particles move perpendicular to direction of wave: e.g. string) vs. Longitudinal waves (...parallel...e.g. chain of masses connected by springs)

Apply Newton’s laws to particles of medium e.g. forces on segment of string: wave speed depends only on material of medium

One-Dimensional Waves

Waves on a string:

“Snapshot” graph

History graph sequence Longitudinal Waves: ∆x^ vs.^ x function of two variables: t (when) and x (which point of wave)