Stuck for 2hrs on this frequency question

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The discussion revolves around calculating the beat frequency heard by a bystander from two cars with identical horns, one moving toward the bystander at 8.0 m/s and the other parked. The user calculated the frequency of the moving car using the Doppler effect formula, resulting in 419.791 Hz, and subsequently found the beat frequency to be 9.791 Hz. However, the user received feedback from CAPA indicating the answer was incorrect despite trying various significant figures. Another participant suggested using a different formula for frequency adjustment, indicating that the initial approach may have been flawed. The conversation highlights the importance of accurate calculations in physics problems.
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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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