Calculating Wave Frequency from Source and Receiver Measurements

In summary, the problem asks for the expression of the frequency emitted by a stationary source in terms of the measured frequencies f1 and f2, and the wave speed v. This can be calculated using the formula fs=fr, where fs is the frequency of the source and fr is the frequency received by the observer. The values of f1 and f2 correspond to the two possible signs in the formula for the Doppler effect.
  • #1
grapejellypie
13
0

Homework Statement


A wave source approaches you at constant speed and you measure a wave frequency f1. As the source passes and then recedes, you measure frequency f2. Find the expression for the frequency emitted if the source were stationary in terms of f1, f2, and wave speed v.


Homework Equations


I'm not sure which equations are relevant, but here are some:
f=v/λ (where λ = wavelength)
for situations in which the source is in motion relative to a stationary receiver
fr=(fs)/(1±u/v) where fr=frequency the receiver receives; fs= frequency emitted by source, u=speed of source, and v= wave speed)


The Attempt at a Solution


I'm not sure how to go about solving this problem. I know that the answer will be in terms of variables...
I also know that fs= fr when the source and receiver are stationary
 
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  • #2


You are a little bit confused.
The problem asks to find fs. This is the frequency of the source and this is what the onserver will detect if the source is stationary.
f1 and f2 are the values of fr corresponding to the two signs in your formula for the Doppler effect.
 

Related to Calculating Wave Frequency from Source and Receiver Measurements

1. What is a wave frequency?

A wave frequency is a measure of how many waves pass a certain point in a given amount of time. It is typically measured in units of Hertz (Hz), which represents the number of cycles per second.

2. How do you measure a wave frequency?

To measure a wave frequency, you first need to identify the wavelength of the wave. Then, you can use the equation f = v/λ, where f is the frequency, v is the velocity of the wave, and λ is the wavelength. You can also use a device called an oscilloscope to directly measure the frequency of a wave.

3. What is the relationship between wave frequency and energy?

The higher the frequency of a wave, the more energy it carries. This is because higher frequency waves have shorter wavelengths, which means they have a higher number of cycles passing a certain point in a given amount of time. This results in more energy being transferred per unit of time.

4. How does wave frequency affect the pitch of sound?

The frequency of sound waves determines the pitch of the sound we hear. Higher frequency sound waves have a higher pitch, while lower frequency sound waves have a lower pitch. For example, a high-pitched sound like a whistle has a higher frequency than a low-pitched sound like a tuba.

5. Can wave frequency be changed?

Yes, the frequency of a wave can be changed by altering the speed or wavelength of the wave. For example, if the wavelength of a wave decreases, the frequency will increase. This is why changing the tension on a guitar string can change the pitch of the sound it produces.

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