Doppler Shift
Dive into the fascinating concept of Doppler Shift which explains how frequency changes when a source or observer is in motion. Explore various scenarios like moving sources, moving observers, and real-life examples like race cars and sirens to grasp the essence of Doppler Shift.
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Presentation Transcript
Doppler Shift Contents: What it is Moving Source Moving observer Whiteboards
Doppler Shift Demo/examples: race cars, bells at RR crossing Frequency: (Key to understanding this) Higher approaching Lower receding Moving source/moving observer
Doppler Shift - moving source Sitting Still
Doppler Shift - moving source Moving to the right Source creates smaller wavelengths in front, longer in back Demo - Doppler applet
Doppler Shift - moving source Derivation: = + usT v f'= f v us f = shifted frequency f = original frequency v = speed of sound us = speed of source When do you use + and - in the denominator?
Doppler Shift - moving observer Observer Motion of the source makes you experience different frequencies
Doppler Shift - moving observer Derivation:f = v/ , f = (v + uo)/ v u ' = o f f v f = shifted frequency f = original frequency v = speed of sound uo = speed of observer When do you use + and - in the numerator?
An airplane with a 62.0 Hz engine flies away from you at 49.2 m/s. What frequency do you hear? (Use v =343 m/s ) (54.2 Hz) You are driving at 29.0 m/s toward a stationary 312 Hz siren. What frequency do you hear?(Use v = 343 m/s) (338 Hz)
A man wearing a pointy hat screams at a perfect 1000. Hz while running away from you at 9.5 m/s. What frequency do you hear? (use v sound = 343 m/s) Source receding = f f' v v s u f = 1000. Hz, us = 9.5 m/s, v = 343 m/s, and + 973. Hz
Your father is nagging you at a pitch of 85.0 Hz, and you ride your motorized Hello Kitty skateboard away from him at 14.0 m/s. What frequency do you hear? (use v sound = 343 m/s) Observer, receding = f f v u ' o v f = 85 hz, uo = 14 m/s, v = 343 m/s, and - 81.5 Hz
You are running toward the Jo-Jo man with a quarter and a dime at 6.7 m/s. If the music from the truck is at a frequency of 2013 Hz, what is the frequency you hear? (use v sound = 343 m/s) Observer, Approaching = f f v u ' o v f = 2013 hz, uo = 6.7 m/s, v = 343 m/s, and + 2052.3 Hz
Duggan is playing the National Anthem on the electric guitar at the senior assembly. You are late, so you are running toward him at 11.2 m/s. If you hear his last note as an A 440 Hz, what is the real frequency he is making? (use v sound = 343 m/s) Observer, Approaching = f f v u ' o v f = 440 hz, uo = 11.2 m/s, v = 343 m/s, and + 426 Hz
A group of students wearing pointy hats is riding Ducati motorcycles (The Hello Kitty limited edition) and chanting Respectful, Responsible, Safe driving away from you at 34 m/s. You hear them at a pitch of 512 Hz, what pitch are they really making? (use v sound = 343 m/s) Source receding = f f' v v s u f = 512 Hz, us = 34 m/s, v = 343 m/s, and + 562.8 Hz
A running person who is late for a concert hears the concertmaster who is playing an A 440. Hz. How fast and in what direction are they running if they hear a frequency of 463 Hz. (use v sound = 343 m/s) Moving observer, toward, use + v u ' = o f f v 17.9 m/s, toward the source
What speed in what direction is a car moving if it has a 256 Hz horn, but you hear it at 213 Hz? (use v sound = 343 m/s) Moving source, away, use + v f' = f v s u 69.2 m/s away from you
You are driving on a road, and a car coming the other way has a horn with a frequency of 256 Hz. The oncoming car is going 20.0 m/s toward you, and you are going 60.0 m/s toward them. What frequency do you hear? Moving source, then moving observer higher frequency, higher frequency f = f{ v } {v + us } f = 256 hz, us = 20.0 m/s, v = 343 m/s, and - f = f{v uo} { v } f = f from before, uo = 60.0 m/s, v = 343 m/s, and + 319.4 Hz
A car with a 256 Hz horn approaches you at 40.0 m/s. What frequency do you hear? (3) (use v sound = 343 m/s) Moving source higher frequency f = f{ {v + us } v } f = 256 hz, us = 40.0 m/s, v = 343 m/s, and - 290. Hz
