The velocity of sound in air is 343 m / s . An ambulance is traveling east at 59

Question

The velocity of sound in air is 343 m/s . An ambulance is traveling east at 59.3 m/s. Behind it there is a car traveling along the same direction at 34.7 m/s. The ambulance driver hears his siren at a frequency of 727 Hz.

a)    What is the wavelength of the sound of the ambulance

The velocity of sound in air is 343 m/s . An ambulance is traveling east at 59.3 m/s. Behind it there is a car traveling along the same direction at 34.7 m/s. The ambulance driver hears his siren at a frequency of 727 Hz. What is the wavelength of the sound of the ambulance's siren if you are standing at the position of the car? Answer in units of m. At what frequency does the driver of the car hear the ambulance's siren? Answer in units of Hz.

Explanation / Answer

Part A)
First find the frequency heard by the observer by the Doppler Effect

f' = f(v/(v +vs))

f' = (727)(343/(343 + 59.3)

f' = 619.8 Hz

Now v = f(wavelength)

343 = (619.8)(wavelength)

wavelength = .553 m

Part B)

Apply f' = f(v+vo)/(v+vs)

f' = 727(343 + 34.7)/(343 + 59.3)

f' = 682.5 Hz

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