What is the perceived frequency of Bird B when it hears Bird A's screech?

AI Thread Summary
Bird A and Bird B are flying towards each other, with Bird A screeching at a frequency of 3200 Hz. Bird B, moving at 20 m/s, needs to calculate the frequency it perceives using the Doppler effect formula. The correct application of the formula shows that Bird B perceives a frequency of 3244.7 Hz, but initial calculations were incorrect due to sign errors in the velocities. The observer's speed should be positive when moving towards the source, while the source's speed should be negative if moving towards the observer. Understanding these sign conventions is crucial for accurate frequency perception calculations.
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Homework Statement


Bird A and B are flying towards each other
Bird B at 20m/s
Bird A at 15m/s and screeches with a frequency of 3200 Hz
what does bird B perceive?


Homework Equations


the speed of sound is 343m/s

Fobserver==Fsource((vsound+vobserver)/(vsound+vsource)


The Attempt at a Solution



fobserver=3200((343+20)/(343+15))
=3244.7Hz

i check this against my solution and it appears to be wrong but I am not sure why. is it i got observer and source mixed around or maybe my signs?
 
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Yeah, you mixed up the signs. vobserver should be positive if the receiver is moving towards the source. vsource should be positive if the receiver is moving away from the source.

You can remember this by remembering that frequency always goes up if the receiver is moving towards the source. Hence, the numerator must get better, and the denominator must get smaller.
 
so in reference to this question is should be 20 and -15?
 
Yup.
 
thanks!
 
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