Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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.

show steps for rating

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

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote