An ambulance is generating a siren sound at a frequency of 2,400 Hz. The speed of sound is 345.0 m/s. If the observer is traveling at a velocity of 24.00 m/s toward the stationary ambulance, then what is the frequency of the siren perceived by the observer?
Question
An ambulance is generating a siren sound at a frequency of 2,400 Hz. The speed of sound is 345.0 m/s. If the observer is traveling at a velocity of 24.00 m/s toward the stationary ambulance, then what is the frequency of the siren perceived by the observer?
Solution
To solve this problem, we need to use the Doppler effect formula for sound. The Doppler effect describes the change in frequency or wavelength of a wave for an observer moving relative to the source of the wave.
The formula for the Doppler effect when the observer is moving towards the source is:
f' = f * (v + vo) / v
where: f' is the observed frequency, f is the source frequency, v is the speed of sound, and vo is the speed of the observer.
Substituting the given values into the formula:
f' = 2400 Hz * (345.0 m/s + 24.00 m/s) / 345.0 m/s
Solving the equation will give us the observed frequency.
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