How does a speaker play 2 freqs at once?

30 Hz and 300 Hz tone playing at the same time ...
30300un2.jpg
doesnt seem right, if you visualize the speaker doing that, all i see is it moving back and forth real fast a 300hz

still dont get it how it can play the 30hz tone also

 
warning, a slight math background may be needed, but not much.!!!

Speakers only play one "note". Music is nothing more than a complex waveform. A tone can be defined by a sin function. Any waveform, no matter how complex can be broken into basic tones or sine waves. Combine lots of those various tones together and you get music. The trick however, is that if you add all those tones that create the music mathmatically, you end up with just one tone that needs to be played. Basically you simplify a lot of various sine waves into 1 wave. (some crazy guy named fourier figured this out) So it's really only replaying 1 very complex sine wave. However that very complex sine wave has lots of basic ones mixed into it. So a speaker can play a 300hz test tone and a 200hz test tone at the same time by simply playing a tone that when subtracted itout would produce those 2 tones seperately. Some stuff adds togther, some cancels off and you end up with just one tone to play that is all the tones mixed together! For a speaker to move both 200times per second and 300 would be impossible. However for it to move 100 times per second with varying amplitude is very possible. (example, no math shown or used) Here's a pic to show what I mean, you can graphically see how the 2 add togher to make something in between. Some points canceled off, others became much larger (2 dips create one really big one, intuitive huh) Music is just ALOT of those tones going on all together, a+b+c........

http://upload.wikimedia.org/wikipedia/commons/3/3e/Perfect_fifth_graphs.png

With that said and shown look at Jmac's graph. Does it really seem so suprising that we get a huge dip every .03 seconds now? After all it is a 30hz tone and a 300.... If you followed what I said, you may now see to method to it's madness.

 
warning, a slight math background may be needed, but not much.!!!
Speakers only play one "note". Music is nothing more than a complex waveform. A tone can be defined by a sin function. Any waveform, no matter how complex can be broken into basic tones or sine waves. Combine lots of those various tones together and you get music. The trick however, is that if you add all those tones that create the music mathmatically, you end up with just one tone that needs to be played. Basically you simplify a lot of various sine waves into 1 wave. (some crazy guy named fourier figured this out) So it's really only replaying 1 very complex sine wave. However that very complex sine wave has lots of basic ones mixed into it. So a speaker can play a 300hz test tone and a 200hz test tone at the same time by simply playing a tone that when subtracted itout would produce those 2 tones seperately. Some stuff adds togther, some cancels off and you end up with just one tone to play that is all the tones mixed together! For a speaker to move both 200times per second and 300 would be impossible. However for it to move 100 times per second with varying amplitude is very possible. (example, no math shown or used) Here's a pic to show what I mean, you can graphically see how the 2 add togher to make something in between. Some points canceled off, others became much larger (2 dips create one really big one, intuitive huh) Music is just ALOT of those tones going on all together, a+b+c........

http://upload.wikimedia.org/wikipedia/commons/3/3e/Perfect_fifth_graphs.png

With that said and shown look at Jmac's graph. Does it really seem so suprising that we get a huge dip every .03 seconds now? After all it is a 30hz tone and a 300.... If you followed what I said, you may now see to method to it's madness.
That was clear and easy to read, good job. //content.invisioncic.com/y282845/emoticons/veryhappy.gif.fec4fed33b4a1279cf10bdd45a039dae.gif

 
doesnt seem right, if you visualize the speaker doing that, all i see is it moving back and forth real fast a 300hz
still dont get it how it can play the 30hz tone also
Then you're not very smart, and you should probably just move on and enjoy your music.

 
warning, a slight math background may be needed, but not much.!!!
Speakers only play one "note". Music is nothing more than a complex waveform. A tone can be defined by a sin function. Any waveform, no matter how complex can be broken into basic tones or sine waves. Combine lots of those various tones together and you get music. The trick however, is that if you add all those tones that create the music mathmatically, you end up with just one tone that needs to be played. Basically you simplify a lot of various sine waves into 1 wave. (some crazy guy named fourier figured this out) So it's really only replaying 1 very complex sine wave. However that very complex sine wave has lots of basic ones mixed into it. So a speaker can play a 300hz test tone and a 200hz test tone at the same time by simply playing a tone that when subtracted itout would produce those 2 tones seperately. Some stuff adds togther, some cancels off and you end up with just one tone to play that is all the tones mixed together! For a speaker to move both 200times per second and 300 would be impossible. However for it to move 100 times per second with varying amplitude is very possible. (example, no math shown or used) Here's a pic to show what I mean, you can graphically see how the 2 add togher to make something in between. Some points canceled off, others became much larger (2 dips create one really big one, intuitive huh) Music is just ALOT of those tones going on all together, a+b+c........

http://upload.wikimedia.org/wikipedia/commons/3/3e/Perfect_fifth_graphs.png

With that said and shown look at Jmac's graph. Does it really seem so suprising that we get a huge dip every .03 seconds now? After all it is a 30hz tone and a 300.... If you followed what I said, you may now see to method to it's madness.
i think once i get back into school i might be able to comprehend that. my mind = mush right now lol

 
Then you're not very smart, and you should probably just move on and enjoy your music.
why's he's sort of right. A speaker can't move both 30 times and 300 times per second at the same time. Your asking a object to be 2 places at once! Not possible. The trick is that 2 woofers each playing a 30 tone and a 300 tone would have cancellation at certain points, peaks at others, etc. A woofer needs to only play the amalgam of the 2 frequencies, whatever would be left over when all was said and done. Meaning it moves neither 300 or 30 times per second and has a varying amplitude when it is moving.

 
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