today 1/16 waves interference of waves hw:1/16 hw handout “superposition” due wed, 1/22...
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Today 1/16 Waves Interference of Waves HW: 1/16 HW Handout “Superposition”
Due Wed, 1/22 (beginning of class) Read: Ch 16.1,2,5 Ch 17.1,2 Suggest: Problems 16-1,2,3,4,5,8 Note: This “lecture” is mostly animations and is
more than 80 slides long! Beware the print button!
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Things to think about:
How would you define a “wavelength?”
How would you define a “frequency?”
How would you define a “wave velocity?”
What happens when two waves run into each other?
Consider a traveling wave: sound, light, football stadium, water...
How does the direction of the wave’s motion compare to the direction of the individual particle’s motion?
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How does the direction of the wave’s motion compare to the direction of the individual particle’s motion?
Wave moves right while particles move up and down.Called a “transverse wave”Examples are light, water, and football stadium, sound is a “longitudinal wave.”
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Wavelength () = ? = 8 units
Wave Velocity (v) = ? Direction is to the right, v = x/t
v = /Tx is and t is T, the time for a particle to go through one complete oscillation, as in SHM.
Frequency, f = 1/T also as in SHM.v = f
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What happens when two waves collide?
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waves just meeting
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?
Superposition!!!
Green wave says move up but blue wave says move down so...Particle does not move!!
??
Superposition means “superimpose” all effects at a chosen location then add them up (as vectors) to get the “net” effect at that location.
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Only overlap here.the two waves are right on top of one another.
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Now let’s put this in motion.
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
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Destructive interference Constructive interference
This is a “standing wave” and is a “superposition” of two traveling waves. These two waves “interfere” with each other causing locations of “constructive” and “destructive “ interference.
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Destructive interference Constructive interference
Note that the locations of “constructive” and “destructive “ interference alternate. These locations are called “nodes” (destructive) and “anti-nodes” (constructive).
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Your first Homework...