movie to watchlink to explore sound/Fourier decompositionI- INTRODUCTION: CONNECTION LAB PENDULUM WITH WAVES
1) REmember the pendulum ? This kind of motion is called harmonic motion. The cycle up - down - up repeats itself with the same period
(time of a cycle), even if the motion is dumped. This kind of motion
results from a restoring force (gravity pulling back the bob) and the
principle of inertia (the bob wants to keep moving ). The same kind
of motion can be produce using a mass moving up and down on a suspended
spring.
REmember for an harmonic motion, the restoring force is proportional to _______________.
2) really advanced. calculus is needed or some help
A
mass m, attached to a spring of constant K, oscillates
horizontally/ The recoiling force = - K x. K is the spring constant and
x is the displacement of the mass (changes with time). Using F = ma
find the differential equation that describes the motion.
3) So
harmonic motion is the Nature response to a disturbance. A restoring
force wants to bring back the system to equilibrium. These kind of
systems are called oscillators. (obviously it oscillates, repeating the
cycle over and over again). Imagine you have only one oscillator (let's
say one pendulum). If the system is disturbed, the pendulum oscillates
back and forth and it is as far as it goes. BUT If you connect
oscillators together.
(Say you hang several pendulum on a horizontal
string)
If you disturb the first pendulum, soon the others will start to oscillate as well.
A disturbance in one, passes on to the next and continues
down the line. This is the essence of mechanical wave.The wave is usually easier
to see then the individual oscillator.
4) A
wave is a disturbance that propagates from one place to another.
Mechanical wave like sound wave, water wave, earthquakes, wave on a
rope need a medium to propagate.
For example, the water waves travel through ______, earthquake waves
travel through ______, sound travel through ______ or _______. If the
connection between one bit of matter and the other is weak, the wave is
slow. (sound in air) but if the weak is strong, the wave is faster
(sound in metal or in water). Or in other words, the speed depends on
the recoiling force acting on every oscillator. The speed increases
with the recoiling force and decreases with inertia.
For pendulum on a string, the recoiling force depends on _________, inertia is the ________
II VIDEO
Watch this video and answer the questions in class.
(email me if you were in my class for login and password)
I devided the questions in PARTS, following the linear progression of the movie.
PART I
1) (beginning of the movie) give examples of waves :
2) The water waves in the ocean are caused by _________________
3) The water wave carries energy? or water ? away from the source.
4) What are the 2 types of waves ? Write the definition for each of them.
5) What is the wavelength ?
6) What is the frequency ? Unit ?
7) AMplitude?
8) velocity of the wave ? Velocity depends on the _______
PART I SOUND
1) sound are _____________ waves called _______________.
2) In a sound wave, what is moving back and forth or vibrate ?
3) do the tuning fork experiment. Dip a vibrating tuning fork in a glass og water.
4)
The louder the noise the _________ the wave and so the larger the
_____________ of the wave (frequency ? amplitude? wavelength?)
5) The higher the pitch the __________ the frequency of sound wave.
6) The human ear can hear from ____Hz to _______ Hz. Try the sound generator.
7) Dog can hear higher or lower frequency ? What about bats ? ______________
PART 3; speed of sound
8)
The speed of sound depends on _____________. A student place a clock
under a bell. The air is pumped out the bell. The clock rings. Can the
student hear it ? ____________.
9) speed of sound depends also on the ____________.
10) Why do you think, the Indians used to put their ears against the rails when checking on a train?
11) Why sound travels faster in water than in air?
PART IV: EM waves
12) It was thought before that light needs a _________ to travel. They called this medium ______________.
13) In an EM wave, what is wiggling ?
14)
A EM wave is made of particle-wave. EM wave behaves like a wave when
traveling in a vacuum but behaves like a _________ when
interacting with matter.
PART V interference
15) echoes occurs when ___________________----
16) On which principle the sonar is built ? _________________-
17) what is refraction?
18) diffraction? _______________________
Why can you hear behind corner ?
19)
A ambulance arrives with a _____ pitch when it get closer to you but
leaves with ________pitch as it drives away. It is called he
_______________.
20)
What did Edwin Hubble observed ? The ___
__________. As the Universe expands, other galaxies move away
from us and their wavelength have been ______ stretched ? compressed?
and their frequency (visible light) __________ (decreases?
increases ?) .
The color is shifted toward the color _____. (low frequency color in
the visible spectrum)
PART VI resonance, natural frequency
21) do the experiment with 2 tuning forks.
22) resonance results in an increase in amplitude. (U-tube Tacoma bridge, glass)
PART VII INTERFERENCE
23) interference occurs when waves ___________ in the same ___________.
24) When they meet, and pass each other if their amplitude add up, it is called a ________________ interference
25) When waves meet but partly or totally cancel each other, it is called __________________ interference.
26) When waves of the same frequency, traveling in opposite direction combine, they are called __________________.
(do experiment with slinky to find the standing wave)
27) In music, standing waves are called _________________________.
28) Can interference affect radio wave ? What happens then?
29) Let's take the quiz together.
QUIZ:
waves transport the energy of disturbances ?
The number of wave cycles in one second is called the wave ____________
The speed of the wave is called its__________
Sound waves are __________________ waves
Do longitudinal waves need a medium to transport the energy ?
The sound travels faster: in he air? in the ground?
Visible light is transported by__________ waves
The Doppler effect only applies to sound wave ? yes or no ?
Echoes or mirror images are examples of ___________waves?
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III- ANIMATIONS to illustrate what you just have learned
1) longitudinal vs transverse waves.
click here2) sound waves:
click here3) interference, waves can reinforce each other or cancel each other (partly and completely).
click here click here very good animation
click image |  click image |
4) interference: standing waves. standing waves are called harmonics in Music:
click here click herehttp://www.kettering.edu/~drussell/Demos/superposition/superposition.htmlexcellent animations5) interference
with sound waves: beats (it happens when 2 waves with close frequency
are added, the resulting frequency = difference between the 2 original
frequency) .
click herehttp://www.falstad.com/mathphysics.html
click image6)When
a system (crystal glass, suspended bridge, rope) is excited (voice,
wind, resonance), the amplitude of the system keeps increasing.
The glass can break and so can the bridge:
When a force is applied repeatedly at the
natural frequency of any system, large amplitude oscillations result :
click here
using resonance to break a wine
glass
http://youtube.com/watch?v=17tqXgvCN0E
Tacoma
bridge
http://youtube.com/watch?v=j5j20NSFNcg
7) Doppler effect, the wave is stretched or compressed/ If it is compressed (like a spring), you get a sonic boom
click here
click image
8) mechanical can move from one medium to another. The speed may change, depending on the medium inertia.
The frequency stays the same. The wavelength changes.
click here Watch the waves traveling on a rope and passing through a boundary. Thinner (low inertia) to thicker rope (high inertia)
http://www.surendranath.org/Applets/Waves/TwaveRefTran/TwaveRefTranApplet.html
9) Any
wave can spread around corner or after going through an the
opening if the obstacle or opening is smaller than
the wavelength of the wave.
http://www.ngsir.netfirms.com/englishhtm/Diffraction2.htm
Sound
wave have about 1meter wavelength , they will spread so you can hear
behind a door.If radio waves have the same dimension than a
building, it will spread so you can detect them even behind the
building.spreading = wavelength/ dimension of obstacle x distance you
are.
To
see an object, to take picture, to detect an object you can use
different EM wave (visible light, Infra Red, micro wave, Xray) but the
wavelength of the waves have to be significantly greater than the
object you try to see. If not, the waves don't "see"the object. It pass
through it without detecting it. That's why we use microwave in a
radar. These waves are cms long and can see a plane. That's why the
bats use ultra sounds with really small wavelengths that "can see"small
bugs.
IV images to discuss (reference: Conceptual Physics by Paul G. Hewitt, Addison-Wesley )
click image and discuss
 This
blue glass let the blue wavelength to e transmittes. THe others colors
can be absorbed ( increasing the temperature of the glass) and some can
be reflected. |  Sun
light. We have more brightness in the greens and visible light. THat's
why our eyes can only detect visible light. We evolved that way. |
 light
transmitted by a piece of glass. From a particle point of view of light
as quanta of energy, the quanta are absorbed and re emitted by the
atoms of the glass. THat process slows down the light. |
 The
waves will bend if the length of the obstacle is smaller than the
wavelength of the waves. If this is not the case, a shadow is formed. |  diffraction. water wave bending increases as the opening decreases. |  EM spectrum. small wavelength = high frequency = high energy |
 polarization.
polaroids can stop the light. Light is an electric field waving. THe
first filter selects the electric fields oscillating up and down. The
second one selects the side ways electric fields. |  |  You can set a second tuning forks in resonnance as long as the frequency is the same. |
 light = waving electric field perpendicular to a magnetic field. |  constructive or destructive interference. |  |
 using really small wavelength you can "see"or probe the atoms and molecules of atoms. You can use Xrays. |  |  |
