What Are Frequency of Beats and Effective Frequency in Wave Interference?

[InvalidID]

So my textbook says that the equation for the frequency of beats is $|{ f }_{ 1 }-{ f }_{ 2 }|$ and the equation for effective frequncy is $\frac { { f }_{ 1 }+{ f }_{ 2 } }{ 2 }$, but what is frequncy of beats and effective frequency anyways?

Edit: Opps. Should've posted it here: https://www.physicsforums.com/forumdisplay.php?f=61

 

[ehild]

See:
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/audio/sumdif.html#c1

ehild

 

[InvalidID]

See:
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/audio/sumdif.html#c1

ehild

Thanks for the that! But what is effective frequency? The superimposed wave looks weird like this: http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/sound/imgsou/beat4.gif

So is the effective frequency the frequency of the wave in the dotted line or the solid line?

 

[ehild]

The solid line.

ehild

 

[Nickie]

The frequency of beats refers to the perceived oscillation or pulsation in sound when two waves with slightly different frequencies interfere with each other. This phenomenon is known as the beat frequency and can be calculated using the equation |{ f }_{ 1 }-{ f }_{ 2 }|. The higher the difference in frequencies between the two waves, the faster the beats will be perceived.

On the other hand, the effective frequency refers to the frequency that is perceived by the listener when two waves with different frequencies interfere. This can be calculated using the equation \frac { { f }_{ 1 }+{ f }_{ 2 } }{ 2 }. Essentially, it is the average of the two frequencies and represents the pitch that the listener hears.

Both of these equations are important in understanding the interference of waves and can be used in various applications, such as in music and sound engineering. It is also important to note that the frequency of beats and effective frequency can be affected by factors such as the amplitude and phase difference of the two waves.