Doppler Effect

Monday, 11 June 2018

12:46 PM

( - period of emitted wave at the source)

 

Summary

Moving Source

Moving Observer

 

 

 

 

Stationary source, stationary observer

 

Source towards stationary observer

:

:

 

Source away from stationary observer

:

:

 

Stationary source, approaching observer

 

Stationary source, receding observer

 

 

 

 

Machine generated alternative text:
Doppler effect... 
• Consider a stationary sound emitting source, and 
two stationary observers. 
The frequency of the emitted sound wave isf= v/X. 
Both observers hear f. 
Wavelength 
1 
Observer R 
Wavefronts 
Sound 
speed 
Observer G

 

Machine generated alternative text:
Doppler effect>Moving source... 
• Suppose now the observers are stationary, and 
only the sound source moves to the right with 
speed vs. 
Source moving away 
from observer 
T = Period of emitted 
at the source 
A" = 1 + vsT 
BLACKBOARD 
A" 
New 
wavelength 
Observer R 
Source moving 
towards observer 
1' = A-vsT 
New 
wavelength 
Sound 
speed 
Observer G

 

Machine generated alternative text:
Doppler effect>Moving source... 
• Suppose now the observers are stationary, and 
only the sound source moves to the right with 
speed vs. 
Source moving away 
from observer 
" =A+vsT 
v 
v vs 
-7+7 
f" 
Source moving 
towards observer 
T = Period of emitted 
at the source 
Apparent 
frequency 
detected by 
observer G 
V 
V 
Vs 
7

 

Machine generated alternative text:
Doppler effect>Moving source recap... 
• If a sound source travels at speed vs, the apparent 
frequency detected by a stationary observer is 
Sound speed 
V Vs 
Original frequency of source 
Minus sign if source moves towards observer. 
Plus sign if source moves away from observer.

 

Machine generated alternative text:
Last lecture... Doppler Effect 
• When both the observer and the source are moving, 
the Doppler shifted frequency is: 
o 
f'=f 
s 
\l/_ 
• Don't forget to flip the signs if you switch the direction the 
source and/or the observer relative to this picture.

 

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