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s8ekhtiPopdebby s8ekhtiPopdebby
  • 04-02-2017
  • Physics
Answered

What is the frequency heard by a person driving 60 km/h directly toward a factory whistle (f=800 hz if the air temperature is 0°c?

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 14-02-2017

Hi, thank you for posting your question here at Brainly.

This can be solved by using the Doppler Effect equation

\(f_{L} = f_{s} (v+ v_{L} )/(v- v_{s} )\)

where fL = frequency the listener hears
fs = frequency of the source
v = velocity of sound in air
vL = velocity of listener, (+) if moving towards source
vs = velocity of source, 0 if stationary

v as a function of temp is
v = 332 + 0.6T
v = 332 + 0.6(0)
v = 332 m/s

And vL = 60 km/h = 16.67 m/s

Substituting,

\(f_{L} = 800 (332+16.67} )/(800- 0 )=348.67 Hz\)

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