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1. Physics 111.6 Section 01 Lecture 39
The Doppler Effect
Applications of sound
Linear Superposition of waves
2. The Doppler Effect The change in frequency (pitch) detected by an observer because the sound source and the observer have different velocities with respect to the medium of sound propagation
3. Doppler effect movies http://www.wfu.edu/Academic-departments/Physics/demolabs/demos/3/3b/3B40xx.html
4. Moving Source, Stationary Observer What causes the note heard by a stationary observer from a moving source to vary in pitch?
High pitch when approaching (high frequency, short wavelength)
Low pitch when receding (low frequency, long wavelength)
7. A Doppler Effect animation http://www.sciencejoywagon.com/physicszone/lesson/otherpub/wfendt/dopplerengl.htm
8. Moving observer, stationary source Figure 16.30
9. Now if the source (the truck) moves forward with speed vs
14. For the source moving away from the stationary observer The analysis is the same except that the basic relationship between ? and ? is now
16. Example 10 Train approaching a crossing at 44.7 m/s
Sounds a warning horn at 415 Hz
Speed of sound is 343 m/s
What are the frequencies and wavelengths an observer standing at the crossing hears as the train approaches and recedes?
19. Moving observer, stationary source The moving observer getting closer to the source encounters an extra number of condensations
23. Difference in the two cases Source moves, observer stationary
The wavelength ? changes, leading to a change in frequency
Observer moves, source stationary
Observer intercepts a different number of wave condensations per second giving rise to a different frequency
The wavelength does not change in this case
24. General case observer and source moving
26. Police Radar
27. Doppler flow meter For determining the blood flow rate in blood vessels near to the skin
28. Ultrasonic imaging Most often used for prenatal monitoring
29. Ultrasound in surgery Cavitron ultrasonic surgical aspirator
Brain surgery
Liver disease
Ovarian cancers/cysts
31. Chapter 17 So far we have considered a single wave occupying a space
Suppose we have two waves occupying the same space at the same time
What does the waveform look like?
How do we treat it mathematically?
32. Linear Superposition When two or more waves are present simultaneously at the same place, the resultant disturbance is the sum of the disturbances from the individual waves
33. Linear superposition Applies to all types of waves
Electromagnetic radiation
Sound
Water waves
34. Interference Interference effects come about from the addition of two waves with the same frequency
It may be either
Constructive interference or
Destructive interference
35. Constructive interference If the waves which are being added together have the peaks and troughs aligned they are said to be in Phase
Waves which are in phase show constructive interference
36. Destructive interference When the two waves being added together have the peaks on one wave exactly aligned with the troughs on the other, they are said to be Out of Phase.
The two waves show Destructive interference and the net amplitude is zero