Answered: Two trains on separate tracks move…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Two trains on separate tracks move toward each other. Train 1 has a speed of 120 km/h; train 2, a speed of 91.0 km/h. Train 2 blows its horn, emitting a frequency of 500 Hz. What is the frequency heard by the engineer on train 1?
Hz

Expert Solution

Step 1

Given that,

frequency of horn of train 2 is 500 Hz,

velocity of train 2 is 91 km/hr,

velocity of train 1 is 120 km/hr, and

velocity of sound is 343 m/s.

Note that, formula for frequency of a boy is $f_{0} = f (\frac{v + v_{0}}{v - v_{s}})$ . Where,

f is frequency horn emitting from train 2,

$v_{0}$ is the velocity of train 1,

v is the speed of the sound,

$v_{s}$ is the velocity of train 2.

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