contestada

A train at rest emits a sound at a frequency of 1045 Hz. An observer in a car travels away from the sound source at a speed of 22.4 m/s. What is the frequency heard by the observer? Assume the speed of sound in air to be 344 m/s. Answer in units of Hz

Respuesta :

Answer:976.95Hz

Explanation:

Let [tex]c[/tex] be the speed of sound in medium.

Let [tex]v_{s}[/tex] be the speed of the source.

Let [tex]v_{o}[/tex] be the speed of the observer.

Let [tex]f[/tex] be the frequency emitted by the source when the source is in rest.

Let [tex]f_{new}[/tex] be the frequency observed by the observer.

When the observer is moving away and the source is at rest,

[tex]f_{new}=f\times \dfrac{c-v_{o}}{c}[/tex]

Given,

[tex]c=344ms^{-1}[/tex]

[tex]v_{s}=0ms^{-1}[/tex]

[tex]v_{o}=22.4ms^{-1}[/tex]

[tex]f=1045Hz[/tex]

[tex]f_{new}=1045\times \frac{344-22.4}{344}=1045\times \frac{321.6}{344}=976.95Hz[/tex]