Stuck for 2hrs on this frequency question

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    Frequency Stuck
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Homework Help Overview

The problem involves two cars with identical horns emitting sound frequencies, where one car is moving towards a bystander and the other is stationary. The task is to determine the beat frequency heard by the bystander based on the Doppler effect and the given parameters.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the beat frequency using the Doppler effect formula but is uncertain about the correctness of their answer. Participants question the significance of significant figures and whether it affects the outcome. Another participant suggests an alternative formula that may yield a different frequency.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the calculations involved. There is no explicit consensus on the correct approach or answer yet, but guidance has been offered regarding the use of an alternative formula.

Contextual Notes

Participants note that the homework platform may have specific requirements regarding significant figures, which could be influencing the responses received. The original poster has tried multiple variations of their answer without success.

icecubz
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The two cars have identical horns, each emitting a frequency of fs = 410 Hz. One of the cars is moving with a speed of 8.0 m/s toward a bystander waiting at a corner and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander? my attempt at the solution:

fo = 410(343)/(343 - 8.0) = 419.791 Hz

fb = f2 - f1
= 419.791 - 410
= 9.791 Hz


i keep getting 9.79 Hz as my answer. i keep getting it wrong (thats what CAPA is telling me). can some one lead me in the right direction or tell me what I'm doing wrong?

Thank you.
 
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icecubz said:
The two cars have identical horns, each emitting a frequency of fs = 410 Hz. One of the cars is moving with a speed of 8.0 m/s toward a bystander waiting at a corner and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

my attempt at the solution:

fo = 410(343)/(343 - 8.0) = 419.791 Hz

fb = f2 - f1
= 419.791 - 410
= 9.791 Hz


i keep getting 9.79 Hz as my answer. i keep getting it wrong (that's what CAPA is telling me). can some one lead me in the right direction or tell me what I'm doing wrong?

Thank you.
Hello icecubz. Welcome to PF !

Does "CAPA" care about significant digits?
 
SammyS said:
Hello icecubz. Welcome to PF !

Does "CAPA" care about significant digits?

yes it does, but if i do use the incorrect amount of sig figs, it tells me to use more or less digits. doesn't penalize for incorrect sig figs.

nevertheless, I've tried entering 9.79, 9.791, and 9.80 and its come up as incorrect.
 
Try

f'= ((c+v)/c)*f

this gives a different frequency, and thus a different beat frequency
 

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