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The frequency of the siren of an ambulance is 900 Hz and is approaching you. You are standing on a corner and observe a frequency of 960 Hz. What is the speed of the ambulance (in mph) if the speed of sound is v

Respuesta :

Answer:

[tex]v_{s}[/tex]= 47.53 mph

Explanation:

by using Doppler  Effect

the frequency f' is the observed frequency by the observer :

by using relations

[tex]f' =[\frac{v}{v-v_{s}}]\times f\\[/tex]

where v is speed of sound in medium and [tex]v_{s}[/tex] is speed of source ( ambulance)

on  solving above equation we get

[tex]v_{s} = \frac{(f' -f)v}{f'}[/tex]

substitute the values we get

[tex]v_{s} = \frac{( 960 -900)(340)}{960}\\v_{s} = 47.53 mph[/tex]