A railroad train is traveling at a speed of 24.5 m/s in still air. The frequency
ID: 1484116 • Letter: A
Question
A railroad train is traveling at a speed of 24.5 m/s in still air. The frequency of the note emitted by the locomotive whistle is 450 Hz .
Part A
What is the wavelength of the sound waves in front of the locomotive?
Use 344 m/s for the speed of sound in air.
Part B
What is the wavelength of the sound waves behind the locomotive?
Use 344 m/s for the speed of sound in air.
Part C
What is the frequency of the sound heard by a stationary listener in front of the locomotive?
Use 344 m/s for the speed of sound in air.
Part D
What is the frequency of the sound heard by a stationary listener behind the locomotive?
Use 344 m/s for the speed of sound in air.
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Explanation / Answer
traveling at a speed of 24.5 m/s
locomotive whistle is f 450 Hz
Commonly used measure is 344 m/s
The true wavelength would be 344 m/s / 4000 hz.
Part A
What is the wavelength of the sound waves in front of the locomotive?
The wavelength would be squeezed by the factor (344-25.0)/344 = 0.92 in front of the train
Part B
What is the wavelength of the sound waves behind the locomotive?
and expanded by the
factor (344 + 25.0)/344 = 1.07 behind the train.
Part C
What is the frequency of the sound heard by a stationary listener in front of the locomotive?
The forward observer would experience the frequency as 450 x (344+24.5)/344 hz = 165825hz
Part D
What is the frequency of the sound heard by a stationary listener behind the locomotive?
and the rearward observer woul
experience the frequency as 450x (344-24.5)/344 hz.= 143775hz
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