Apparent Frequency (Doppler) Problem

In summary, the speed of sound is 343 m/s and the frequency of a security alarm on a parked car changes by 97 Hz as you drive towards it and away from it. By using the formula F=Fo [(Vsound- Vobserver)/(Vsound-Vsource)], you can determine that the velocity when moving away from the car is 34.9485 m/s.
  • #1
wallace13
31
0
The security alarm on a parked car goes off and produces a frequency of 952 Hz. The speed of sound is 343 m/s. As you drive toward this parked car, pass it, and drive away, you observe the frequency to change by 97 Hz. At what speed are you driving?


F=Fo [(Vsound- Vobserver)/(Vsound-Vsource)]



(952-97)=855

855= 952 [(343-V)/(343-0)]

V= 34.9485 m/s
 
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  • #2
I think you're maybe missing a part of the problem...

On your approach, is the frequency is higher, or lower? What about when you're going away from the source?

So, if you notice a difference of 97 Hz, what is it the difference of - the frequencies heard at which points in your travel? What are your velocities during these times, in relation to the source?
 
  • #3
The question only asks for one speed, and I added the 97 and subtracted 97 and it was still wrong. And its when you are moving away from the parked car, so wouldn't it be subtracted, anyway? And you're solving for the velocity when you're moving away.

So all in all, I have no idea what you just said
 
  • #4
Okay, let me try again...

What's the frequency when you're aproaching the siren? What's the frequency when you're going away from it? The difference in frequency should be between these two numbers, I think...

Basically, try for something like [ F(approaching) - F(going away) ] = 97 Hz
 
  • #5
Okay, since 97 is the difference for approaching AND moving away from the car, you only want half the distance. That should solve you problem :)

(Just divide the answer you got by 2)
 

Related to Apparent Frequency (Doppler) Problem

What is the Apparent Frequency (Doppler) Problem?

The Apparent Frequency (Doppler) Problem is a phenomenon that occurs when there is relative motion between a source of waves and an observer. This causes a shift in the frequency of the waves perceived by the observer.

How does the Doppler Effect affect the Apparent Frequency?

The Doppler Effect is the change in frequency of a wave due to the relative motion between the source and the observer. In the Apparent Frequency (Doppler) Problem, the observed frequency is higher when the source and observer are approaching each other, and lower when they are moving away from each other.

What are some real-life examples of the Apparent Frequency (Doppler) Problem?

Some common examples of the Apparent Frequency (Doppler) Problem include the change in pitch of a siren as an ambulance drives by, the change in frequency of a car horn as it approaches and then passes you, and the shift in frequency of a train whistle as it moves towards or away from a train station.

How do scientists use the Apparent Frequency (Doppler) Problem?

Scientists use the Apparent Frequency (Doppler) Problem to study the motion and velocity of objects in space, as well as to measure the speed of moving objects on Earth. It is also used in various technologies, such as radar and sonar, to determine the location and speed of objects.

What is the difference between the Apparent Frequency and the Actual Frequency?

The Apparent Frequency is the frequency of a wave as perceived by an observer in motion, while the Actual Frequency is the frequency of the wave emitted by the source. The difference between these two frequencies is caused by the Doppler Effect and can be used to calculate the relative velocity between the source and the observer.

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