DOPPLER AND DECIBELS
Transcript of DOPPLER AND DECIBELS
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DOPPLER AND DECIBELS
-third marking period
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DEFINITION
Don’t try this at home
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DOPPLER
An apparent change in frequency caused by the relative velocity of the source and observer of a wave.
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THE DOPPLER EFFECT
Make the sound of a race car speeding by...
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COME ON... YOU DON’T LOOK THAT SILLY!
Or, maybe you would
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A STATIONARY SOURCE
The wave fronts of the sound go out in all directions at equal velocities.
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A MOVING SOURCE
In front the compressed wavelength has a higher frequency
The rarified waves have a lower frequency
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SCARY EQUATION
f frequency
v velocity
o observed
s source
€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜
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SIMPLEMOVING SOURCE
A train approaches a student traveling at 40 m/s. The horn on the train has a frequency of 400Hz. What frequency does the student hear?
€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜
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A train approaches a student traveling at 40 m/s. The horn on the train has a frequency of 400Hz. What frequency does the student hear?
€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜ 400341
341
0
40-
453 Hz
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The train now stands still. Homer S. runs away from it at 60 m/s. The horn on the train has a frequency of 800Hz. What frequency does Homer hear?€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜ SIMPLE
MOVING OBSERVER
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€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜ 800341
341
60-
0
The train now stands still. Homer S. runs away from it at 60 m/s. The horn on the train has a frequency of 800Hz. What frequency does Homer hear?
659 Hz
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The train now faces Homer S. moving at 20 m/s. Homer can run at an amazing 30 m/s. The horn on this train has a frequency of 500 Hz. What frequency does Homer hear?
€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜
DOPPLERSOURCE AND
OBSERVER
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€
fo = f sv ± vov ± vs
⎞
⎠ ⎟
⎛
⎝ ⎜ 500341
341
30
20-
The train now faces Homer S. moving at 20 m/s. Homer can run at an amazing 30 m/s. The horn on this train has a frequency of 500 Hz. What frequency does Homer hear?
+
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DECIBEL LEVELS
dB - units of relative intensity
W/m2 - units of intensity
other things where relative numbers are used?
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THRESHOLD OF HEARING
Hummingbird from 10m away
1x10-12 W/m2
0 dB
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Source Intensity Level Intensity
Threshold of Hearing (TOH) 0 dB 1x10-12 W/m2
Rustling Leaves 10 dB 1x10-11 W/m2
Whisper 20 dB 1x10-10 W/m2
Normal Conversation 60 dB 1x10-6 W/m2
Busy Street Traffic 70 dB 1x10-5 W/m2
Vacuum Cleaner 80 dB 1x10-4 W/m2
Large Orchestra 98 dB 6.3x10-3 W/m2
European iPod at Maximum Level 100 dB 1x10-2 W/m2
Front Rows of Rock Concert 110 dB 1x10-1 W/m2
Threshold of Pain 130 dB 1x101 W/m2
Military Jet Takeoff 140 dB 1x102 W/m2
Instant Perforation of Eardrum 160 dB 1x104 W/m2
SAMPLE DECIBEL LEVELS
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HOW MUCH LOUDER?
What is “Louder”?
30 dB is 10 times above 20 dB
40 dB is 10 times above 30 dB
How much “louder” is 40 dB than 20 dB?
100 (not 20)
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HOW MUCH LOUDER?
How much “louder” is a vacuum cleaner than a whisper?
80dB to 20dB
60dB difference
6 Bels
106 or a million times more intense sound
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HOW MUCH LOUDER?
How much “louder” is a large orchestra than normal conversation?
98 dB to 60 dB
38 dB difference
3.8 Bels
103.8 or 6,310 times more intense
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BACKWARDS
What is 1000 times louder than a 65dB sound?
Not too hard... 103
3 Bels
30 dB
65 + 30dB = 95 dB
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BACKWARDS
What is 30 times softer than a 80 dB sound?
Use that log button
log1030 = 1.48
1.48 Bels
14.8 dB
80dB - 14.8 = 65.2 dB
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ACTUAL INTENSITY
What is the actual intensity of a 104 dB sound?
missing number?
nope- remember the hummingbird!
10.4 Bels = 1010.4 times
(1 x 10-12) x (1 x 1010.4) = 0.025 W/m2
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HOMEWORK
Honors Problem set for sound waves
Chapter 16 p504+
dB levels 63, 65, 66, 67, 70, 71, 72, 102
Doppler 76, 77, 78, 80, 84
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GET IT?
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