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***Doppler effect….

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Presentation on theme: "***Doppler effect…."— Presentation transcript:

1 ***Doppler effect…

2 What is the Doppler effect?

3 NEXRAD

4 Stationary observers hear the frequency of the source.

5 Can you estimate how fast this thing is moving through the air?

6 Source moving at subsonic speeds (Mach 0.7 )‏

7 Moving firetruck (source)‏

8 Moving source, stationary observer
 ' =  - vsT

9 Moving observer, stationary source

10 Doppler effect can involve a moving source, a moving receiver, or both.

11 ***Doppler effect can involve a moving source, a moving receiver, or both.

12 Why do these curves behave differently?

13 A high-speed train is traveling at a speed of 44
A high-speed train is traveling at a speed of 44.7 m/s (100 mi/h) when the engineer sounds the 415-Hz warning horn. The speed of sound is 343 m/s. What are the frequency and wavelength of the sound, as perceived by a person standing at a crossing, when the train is (a) approaching and (b) leaving the crossing?                                                                

14 A train sounds its whistle as it approaches a tunnel in a cliff
A train sounds its whistle as it approaches a tunnel in a cliff. The whistle produces a tone of 650 Hz. If it travels at a speed of 21.2 m/s, what is the frequency heard in the tunnel and in the reflected sound?

15 A bat flies toward a moth at speed 6
A bat flies toward a moth at speed 6.7 m/s while the moth is flying toward the bat at speed 5.5 m/s. The bat emits a sound wave of kHz. What is the frequency of the wave detected by the bat after it reflects off the moth? (Assume the speed of sound is 343 m/s.)‏

16 Mission accomplished!

17 A siren, mounted on a tower, emits a sound whose frequency is 2140 Hz
A siren, mounted on a tower, emits a sound whose frequency is 2140 Hz. A person is driving a car away from the tower at a speed of 27 m/s. The sound reaches the person by two paths: the sound reflected from a building in front of the car, and the sound coming directly from the siren. What frequency does the person hear for the (a) reflected and (b) direct sounds? fo = fo·(1 + v0/v) = 2140·(1 + 27/343) = 2310 Hz fo = fo·(1 – v0/v) = 2140·(1 – 27/343) = 1970 Hz

18 Two loudspeakers are mounted on a merry-go-round whose radius is 9 m
Two loudspeakers are mounted on a merry-go-round whose radius is 9 m. When stationary, the speakers both play a tone whose frequency is 100 Hz. As the drawing illustrates, they are situated at opposite ends of a diameter. If the merry-go-round revolves once every 20 s, what is the beat frequency that is detected by the listener when the merry-go-round is near the position shown?

19 Suppose a police radar gun emits an electromagnetic wave with a frequency of fs = 8.0×109 Hz. The car in question is approaching a police car parked on the side of the road in an essentially head-on fashion. The wave from the radar gun reflects from the speeding car and returns to the police car, where on-board equipment measures its frequency to be greater than that of the emitted wave by 2100 Hz. Find the speed of the car with respect to the highway.

20 ***Moving medium (wind)…

21 Two trains are traveling toward each other at 16 m/s relative to the ground. One train is blowing a whistle at 1320 Hz. (a) What frequency will be heard on the other train in still air? (Assume the speed of sound in air is 343 m/s.) (b) What frequency will be heard on the other train if the wind is blowing at 16 m/s toward the whistle and away from the listener? (c) What frequency will be heard if the wind direction is reversed?

22 Two train whistles, A and B, both have a frequency of 386 Hz
Two train whistles, A and B, both have a frequency of 386 Hz. A is stationary and B is moving toward the right (away from A) at a speed of vB = 33.0 m/s. A listener is between the two whistles and is moving toward the right with a speed of 14.1 m/s. Assume that the speed of sound in still air is 343 m/s and that no wind is blowing. What beat frequency is detected by the listener?

23 A girl is sitting near the open window of a train that is moving at a velocity of 23 m/s to the east. The girl's uncle stands near the tracks and watches the train move away. The locomotive whistle emits sound at a frequency of 580 Hz. Assume that the speed of sound in still air is 343 m/s. (a) What frequencies do the girl and uncle hear? (b) How would your answers change if a wind now blows from the east at 9.2 m/s.

24 End


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