A railroad train is traveling at a speed of 26.0 m/s in still air. The frequency

Question

A railroad train is traveling at a speed of 26.0 m/s in still air. The frequency of the note emitted by the locomotive whistle is 420 Hz. What is the wavelength of the sound waves in front of the locomotive? Use 344 m/s for the speed of sound in air. What is the wavelength of the sound waves behind the locomotive? Use 344 m/s for the speed of sound in air. 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. 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.

Explanation / Answer

A)

given, v = 344 m/s

velocity of source, vs = 26 m/s

so, wavelength of sound infron of the locomotive,
==> lamda' = (v - vs)/f

= (344 - 26)/420

= 0.757 m <<<<<<<<<-----------------Answer

B)

wavelength of sound behind the locomotive,

lamda'' = (v + vs)/f

= (344 + 26)/420

= 0.881 m <<<<<<<<<-----------------Answer

C) infront of the locomotiove,

f' = v/lamda'

= 344/0.757

= 454.4 Hz <<<<<<<<<-----------------Answer

D) behind the locomotiove,

f'' = v/lamda''

= 344/0.881

= 390.4 hz <<<<<<<<<-----------------Answer

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