How to Calculate Doppler Effect Frequencies for Moving Objects?

AI Thread Summary
To calculate the Doppler effect frequencies for moving objects, the first scenario involves a student with a tuning fork vibrating at 440Hz walking away from a wall at 1.2m/s, where the echo frequency can be determined using the formula Freq = [(330-1.2)/(330+1.2)] (440Hz). In the second scenario, a car traveling at 10m/s sounds its horn at 500Hz, which is heard by another car moving at 20m/s in the same direction, with the speed of sound at 340m/s; the frequency perceived by the second car can be calculated by treating the reflection from a bridge as a stationary observer. It is clarified that the frequency sought is not the beat frequency, as both the source and observer are moving in the first case. Understanding relative velocity is essential for accurate calculations in both scenarios. Accurate application of the Doppler effect principles is crucial for determining the observed frequencies.
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I've got 2 qns
1)
Student holding a tuning fork vibrating at 440Hz walk away from a wall with a speed of 1.2m/s. What's the freq of the echo the student can hear from the wall? Speed of sound is 330m/s

Can i just use Freq= [(330-1.2)/(330+1.2)] (440Hz) to solve
2) A car traveling at 10m/s sound its horns, which has a freq of 500Hz and this is heard by another car traveling behind the 1st car in the same direction but at a speed of 20 m/s.The sound can also be heard by the 2nd car by the reflection from the bridge ahead. What frequency will the 2nd car hear? Take speed of sound be 340m/s.

Is the frequency they are asking beat freq?
How do i cal. the freq due to the doppler effect? Must i make use of relative velocity?
 
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1) No they don't want the beat frequency, but in this case the walking person is both the source AND the observer (and both source and observer are moving)

2) Same thing; think of the situation as though the observer is the reflection in a mirror attached to the bridge. Use observer direction as it appears in the reflection.
 
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