The frequency recorded by the device after the car passes by at the given speed is 474.27 Hz.
Observed frequency recorded by the device
The frequency recorded by the device is determined by using the following formula for doppler effect.
[tex]f_o = f_s(\frac{v + v_0}{v- v_s} )[/tex]
where;
- v is speed of sound at 20°C = 343 m/s
vo is speed of the observer = 0 - vs is the speed of the sound towards the observer = 19 m/s
- fs is the source frequency
- fo is the observed frequency
[tex]f_o = 448(\frac{343 + 0}{343-19} )\\\\f_0 = 474.27 \ Hz[/tex]
Thus, the frequency recorded by the device after the car passes by at the given speed is 474.27 Hz.
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