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Name: Justin L
Date:
4/15/2024
Student Exploration: Doppler Shift
Vocabulary: Doppler shift, frequency, pitch, sonic boom, sound waves, wavelength
Prior Knowledge Questions (Do these BEFORE using the Gizmo
.)
Have you ever heard a siren on a moving ambulance, fire truck, or police car? If so, what happens to the sound as the vehicle passes by?
_
the
sound
goes
lower
as
the
vehicle
goes
by.
The change in the sound that you hear is called the Doppler
shift
. Gizmo Warm-up
The Doppler Shift Gizmo illustrates why the Doppler shift occurs. The Gizmo shows a vehicle that emits sound
waves and an observer who will hear the sounds.
1.
Click the PLAY SAMPLE button (
). (Check that the
Gizmo’s sound and your computer’s speakers are on.) What do you hear? _
T
he sound goes from high to
_
low.
2.
Click Play (
) and observe the sound waves emitted from the moving car. Click Pause (
) and compare the sound waves in front of and behind the car. What do you notice?
_
The sound waves are closer in
front of the car
3.
Use the Ruler to measure the wavelength
, or the distance between the lines, of the waves
in front of and behind the car. (Note: The red circles represent every thousandth wave.)
Wavelength in front of car: 500m
Wavelength behind car: 900m
4.
Why do you think the waves in front of the car have a shorter wavelength than the waves
behind the car? _
I
_
think
it's
because
the
car
is
moving
towards
the
waves
in
_
front
of
_
it
_
and
moving
away
from
the
waves
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_
behind
i
_
t
and therefore the
distance between the waves
is
_
shorter in
_
front than behind.
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Activity A:
The Doppler shift
Get
the
Gizmo
ready
:
Click Reset (
).
Check that f
source is set to 500 Hz and v
sound is set
to 340 m/s, close to the actual speed of sound.
Set v
source to 0 m/s.
Introduction: The pitch of a sound, or how shrill or deep it is, is related to the frequency of the
sound waves. The greater the number of sound waves passing by a point each second is, the higher the frequency and the pitch will be. The unit of frequency is the hertz (Hz).
Question: What causes the Doppler shift?
1.
Observe
: With the car’s velocity (
v
source
) set to 0 m/s, click Play
. Notice the sound waves
moving away from the car in all directions.
A.
Increase the frequency of the sound waves by moving the f
source slider to the right.
How does this affect the spacing of the waves? _
They
are
closer
together.
When the wavelength of the waves is short, the sound will be high in pitch.
B.
Now decrease the frequency by moving the f
source slider all the way to the left.
How does this affect the spacing of the waves? _
They
are
farther
apart.
Sound waves that are spaced far apart will produce a lower, deeper pitch.
2.
Measure
: Click Reset
. Set the frequency (
f
source
) to 1000 Hz. Change the velocity of the sound source (
v
source
) to 200 m/s. (The car is now an airplane.) At upper right, turn on the
Observed frequency (Hz) checkbox.
Drag the observer onto the road. Click Play
, and then click Pause when the sound waves first reach the observer.
A.
What is the frequency of sound waves in front of the plane? _
2428
Hz
B.
Click Play
, and then click Pause just after the plane has passed the observer. What
is the frequency of sound waves behind the plane? _
6 2 9
Hz
3.
Summarize
: Based on what you have learned, how will the sound that the observer hears
change as the airplane passes by? Explain your answer.
_
As the plane passes by, the frequency changes from 2428 to
_
629 Hz and the change causes the pitch of the sound to
_
change from hight to low.
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Activity B:
Faster than the speed of sound
Get
the
Gizmo
ready
:
Click Reset (
).
Set f
source to 300 Hz.
Check that v
sound is set to 340 m/s.
Introduction: On October 14, 1947, the Air Force test pilot Chuck Yeager became the first
man to officially travel faster than the speed of sound in level flight. Modern fighter jets can fly
nearly three times the speed of sound.
Question: What happens when objects travel faster than the speed of sound?
1.
Observe
: Some jet planes can travel faster than the speed of sound. Place the observer
below the road, and set the velocity of the plane (
v
source
) to 500 m/s. Click Play
.
Observe for a while, and then click Pause
. What do you notice? _
The plane is
_
moving ahead of it's sound
_
waves leaving them behind.
2.
Make a sketch
: Click Reset
. The red circles represent every thousandth sound wave. To see more waves, turn
on Display additional waves
. Click Play and observe.
Sketch the sound waves in the diagram at right.
3.
Infer
: Think about what the observer would experience
as the jet flew by.
Sorry, drawing on pdf escape
wasn't as easy as I thought it
would be.
A.
Describe what the observer would see and hear as the plane flew by. _
The observer would first see the plane fly by and then hear the sound of
_
multiple sound waves hitting them
_
at once.
B.
Supersonic aircraft produce a loud noise called a sonic
boom
. Look at the waves
hitting the observer. Based on what you see, what causes a sonic boom?
_
The
sound
waves
from
a
_
cone. The person experiences the sonic boom when the come reaches her ears.
C.
At major sporting events in America, a flight squadron such as the Blue Angels often
flies over the stadium in a tight formation at supersonic speeds. Would spectators in
the stands hear the jet planes first or see them first? Explain your reasoning.
_
They will see the jet planes before the here the them because they fly faster than the speed of
_
sound and
_
therefore
will
be
in
front
o
_
f
their sound waves when flying.
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Activity C:
Measuring the frequency change
Get
the
Gizmo
ready
:
Click Reset
.
Question: What factors affect the magnitude of the Doppler shift?
1.
Observe
: Using the Gizmo, try to determine how each factor (
f
source
, v
source
, and v
sound
) affects the observed Doppler shift. Based on what you have observed, how will each of
these actions affect the magnitude of the Doppler shift?
A.
Increasing the frequency of the sound (
f
source
): Causes the sound waves to be more apart.
B.
Increasing the velocity of the source (
v
source
): Puts
the object
in
motion to
see
how fast
its
going m/s.
C.
Increasing the speed of sound (
v
sound
): Causes
the
sound waves
to
flow
faster.
2.
Measure
: Set f
source to 500 Hz, v
source to 200 m/s, and v
sound to 340 m/s. Turn on Observed
frequency
, and drag the observer into the middle of the road.
A.
Click Play
, and then click Pause just before the airplane reaches the observer. What
is the frequency observed by a person in front of the airplane? _
1214
Hz
B.
Click Play
, and then click Pause just after the airplane has passed the observer.
What is the frequency observed by a person behind the airplane? _
315
Hz
C.
To measure the magnitude of the Doppler shift, divide the frequency of sound waves
in front of the plane by the frequency behind the plane. What do you get? _
3.86
3.
Gather
data
: For each combination, measure the frequencies of the sound waves in front of
and behind the moving sound source. Then divide the first number by the second number to
calculate the Doppler shift magnitude. In the first experiment, find the effect of frequency.
f
source
(Hz)
v
source
(m/s)
v
sound
(m/s)
Frequency in front of source (Hz)
Frequency behind source (Hz)
Doppler shift
magnitude
300
200
340
728 Hz
189 Hz
3.86
1000
200
340
2428Hz
629 Hz
3.86
(Activity C continued on next page)
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Activity C (continued from previous page)
Now gather data to determine the effect of the sound source velocity.
f
source
(Hz)
v
source
(m/s)
v
sound
(m/s)
Frequency in front of source (Hz)
Frequency behind source (Hz)
Doppler shift
magnitude
500
100
340
708 Hz
386 Hz
1.83
500
300
340
4243 Hz
266 Hz
16.0
Finally, gather data to see the effect of the speed of sound. (Note: The speed of sound in
Earth’s atmosphere ranges from about 274 m/s to 355 m/s.)
f
source
(Hz)
v
source
(m/s)
v
sound
(m/s)
Frequency in front of source (Hz)
Frequency behind source (Hz)
Doppler shift
500
200
300
1499 Hz
300 Hz
5.00
500
200
500
833 Hz
357 Hz
2.33
4.
Analyze
: Look carefully at the Doppler shifts for each experiment.
A.
What effect did increasing the frequency of the sound (
f
source
) have on the magnitude
of the Doppler shift? _
The sound frequency had no effect on the doppler
shifter.
B.
What effect did increasing the velocity of the sound source (
v
source
) have on the
magnitude of the Doppler shift? _
The faster the source is, the grater the shift.
C.
What effect did increasing the velocity of sound (
v
sound
) have on the magnitude of the
Doppler shift? The greater the velocity of
_
sound is, the smaller the shift.
5.
Think and discuss
: Why did the magnitude of the Doppler shift increase as the velocity of the sound source increased, but decreased as the velocity of sound increased? If possible, discuss your answers with your classmates and teacher.
_
The
magnitude
of
the
soppler
shifter
depends
on
how
close
the
velocity
o
f
_
the
sound
source
is
t
o
_
the velocity o
_
f
sound.
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_
The
closer
the
velocities
are,
the
greater
the
doppler
shift.
The
2
_
velocities will be closer
together if the velocity
_
of
_
the
sound source is increased or if
_
the velocity of
_
the sound is
_
decreased.
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