A sound with frequency f, is produced by a source traveling along a line with speed v. If an observer is traveling with speed v along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is fo = (c±vo) ²₂ 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 40 m/s and accelerating at 1.4 m/s². A train is approaching you from the opposite direction on the other track at 50 m/s, accelerating at 0.3 m/s2, and sounds its whistle, which has a frequency of 475 Hz. At that instant, what is the perceived frequency (in Hz) that you hear? (Round your answer to one decimal place.) 576.6 xHz How fast (in Hz/s) is it changing? (Round your answer to two decimal places.) 4.65 X Hz/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A sound with frequency f is produced by a source traveling along a line with speed v. If an observer is traveling with speed v along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is
(C+VO) F₂
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 40 m/s and accelerating at 1.4 m/s². A train is approaching you from the opposite direction on the other track at 50 m/s,
accelerating at 0.3 m/s², and sounds its whistle, which has a frequency of 475 Hz. At that instant, what is the perceived frequency (in Hz) that you hear? (Round your answer to one decimal place.)
576.6
X Hz
f。 =
How fast (in Hz/s) is it changing? (Round your answer to two decimal places.)
4.65
X Hz/s
Transcribed Image Text:A sound with frequency f is produced by a source traveling along a line with speed v. If an observer is traveling with speed v along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is (C+VO) F₂ 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 40 m/s and accelerating at 1.4 m/s². A train is approaching you from the opposite direction on the other track at 50 m/s, accelerating at 0.3 m/s², and sounds its whistle, which has a frequency of 475 Hz. At that instant, what is the perceived frequency (in Hz) that you hear? (Round your answer to one decimal place.) 576.6 X Hz f。 = How fast (in Hz/s) is it changing? (Round your answer to two decimal places.) 4.65 X Hz/s
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