Interactive LearningWare 16.2 provides some pertinent background for this problem. A convertible moves toward you and then passes you; all the while, its loudspeakers are producing a sound. The speed of the car is a constant 5.73 m/s, and the speed of sound is 343 m/s. What is the ratio of the frequency you hear while the car is approaching to the frequency you hear while the car is moving away?

Respuesta :

Answer:

The ratio is 1.03

Explanation:

The ratio of the frequency that is heard while the car is approaching [tex]f_{ap}[/tex] to the frequency that is heard while the car is moving away [tex]f_{ma}[/tex] can be calculated using the Doppler effect equation:

[tex] \frac{f_{ap}}{f_{ma}} = \frac {f_{0} \frac{v_{s} - v_{r}}{v_{s} - v_{e}}}{f_{0} \frac{v_{s} - v_{r}}{v_{s} + v_{e}}} [/tex]

where [tex]f_{o}[/tex]: is the emitted frequency, [tex]v_{s}[/tex]: is the speed of sound, [tex]v_{r}[/tex]: is the speed of the receptor and [tex]v_{c}[/tex]: is the emissor speed  

[tex] \frac{f_{ap}}{f_{ma}} = \frac{v_{s} + v_{e}}{v_{s} - v_{e}} = \frac{343 + 5.73}{343 - 5.73} = 1.03 [/tex]

Therefore the ratio is 1.03.  

I hope it helps you!