Download - Lecture 2 Ch 16 Waves 3
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Chapter 16
Waves velocity and energy
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Transverse and longitudinal waves
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Two ways to put the wave on paper
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Mathematical representation of a wave
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Wavelength and frequency
Angular wave number and angular frequency
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Wavelength and frequency
Angular wave number
distance
dis
pla
cem
en
t
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Wavelength and frequency
Angular frequency
time
dis
pla
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en
t
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Phase constant
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Change in syllabus
20
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Speed of a travelling wave
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Speed of a travelling wave
What determines the direction of the wave propagation
What is the speed of the wave
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Speed of a travelling wave
=
Speed of the wave
1(1, 1) = sin(1 1)
=
Wave is moving in positive direction.
2(2, 2) = sin(2 2)
(1 1) = (2 2)
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Speed of a travelling wave TO THE LEFT
(, ) = sin( + )
=
Wave is moving in negative direction.
() =
+ =
=
=
= f
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Direction of motion of a travelling wave: SUMMARY
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Arbitrary shape running wave
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In-phase and out-of-phase
distance
dis
pla
ce
me
nt
two particles are in phase if they have the same displacement and are moving in the same direction.
in-phase in-phase
out-of-phase
wavelength
wavelength
two particles separated by one wavelength move in-phase.
wavelength
two particles separated by HALF wavelength move out-of-phase.
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Transverse speed and acceleration
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Transverse speed and acceleration
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The speed of a wave is set by the properties of the medium.
tension in a string
= / linear density of the string
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The wave speed is one wavelength per period the wave moves a distance of one wavelength in one
period of oscillation.
=
Speed of a travelling wave
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Example 3