An ambulance is traveling east at 51.6 m/s. Behind it there is a car traveling along the same direction at 32.3 m/s. The ambulance driver hears his siren at a frequency of 615 Hz.

32.3 m/s Car

51.6 m/s Ambulance

What is the wavelength of the sound of the ambulance's siren if you are standing at the position of the car? The velocity of sound in air is 343 m/s.

Answer in units of m

Question

Physics

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18 August, 15:16

An ambulance is traveling east at 51.6 m/s. Behind it there is a car traveling along the same direction at 32.3 m/s. The ambulance driver hears his siren at a frequency of 615 Hz.

32.3 m/s Car

51.6 m/s Ambulance

What is the wavelength of the sound of the ambulance's siren if you are standing at the position of the car? The velocity of sound in air is 343 m/s.

Answer in units of m

+3

Answers (1)

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Darien Cunningham · Answer 1

Speed of source=51.6=s

speed of observer=32.3=o

original frequency=615=F

speed of sound=343=S

frequency hear by observer=f

f={ (S+o) / (S+51.6) }/F

f=585

Wavelength=5x 10^{5} m