If a sound with frequency f, is produced by a source traveling along a line with speed v, and an observer is traveling with speed v, along the same line from the opposite direction toward the source, then the frequency of the sound hear by the observer is fo = (c + V₂) rs where c is the speed of sound, about 332 m/s. (This is the Doppler effect.) Suppose that, at a particular moment, you are in a train traveling at 37 m/s and accelerating at 1.7 m/s2. A train is approaching you from the opposite direction on the other track at 43 m/s, accelerating at 1.8 m/s2, and sounds its whistle, which has a frequency of 435 Hz. At that instant, what is the perceived frequency that you hear? (Round your answer to one decimal place.) Hz How fast is it changing? (Round your answer to two decimal places.) Hz/s

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If a sound with frequency \( f_s \) is produced by a source traveling along a line with speed \( v_s \), and an observer is traveling with speed \( v_o \) along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is:

\[
f_o = \left( \frac{c + v_o}{c - v_s} \right) f_s
\]

where \( c \) is the speed of sound, about 332 m/s. (This is the **Doppler effect**.) Suppose that, at a particular moment, you are in a train traveling at 37 m/s and accelerating at 1.7 m/s\(^2\). A train is approaching you from the opposite direction on the other track at 43 m/s, accelerating at 1.8 m/s\(^2\), and sounds its whistle, which has a frequency of 435 Hz. At that instant, what is the perceived frequency that you hear? (Round your answer to one decimal place.)

\(\_\_\_\_\) Hz

How fast is it changing? (Round your answer to two decimal places.)

\(\_\_\_\_\) Hz/s
Transcribed Image Text:If a sound with frequency \( f_s \) is produced by a source traveling along a line with speed \( v_s \), and an observer is traveling with speed \( v_o \) along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is: \[ f_o = \left( \frac{c + v_o}{c - v_s} \right) f_s \] where \( c \) is the speed of sound, about 332 m/s. (This is the **Doppler effect**.) Suppose that, at a particular moment, you are in a train traveling at 37 m/s and accelerating at 1.7 m/s\(^2\). A train is approaching you from the opposite direction on the other track at 43 m/s, accelerating at 1.8 m/s\(^2\), and sounds its whistle, which has a frequency of 435 Hz. At that instant, what is the perceived frequency that you hear? (Round your answer to one decimal place.) \(\_\_\_\_\) Hz How fast is it changing? (Round your answer to two decimal places.) \(\_\_\_\_\) Hz/s
Expert Solution
Step 1: Given informations

The speed of sound is 332 m/s.

The speed of the train is 37 m/s.

The acceleration is 1.7 m/s2.

The speed of the second train is 43 m/s.

The acceleration of the second train is 1.8 m/s2.

The frequency is 435 Hz.


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