Today we learned about Noise Cancelling Headphones. I was planning to give two pairs away, but the package was destroyed and returned to Amazon. Will give out replacements soon. We spent the rest of the class working through 8 practice problems. I think all of the kids are "getting it" on most of them, either on their own or as we go through it together. If you hear anything different, please let me know!
MBUSD Math Competition - We have a tentative date set for Thursday March 5th.
Math Olympiad Competition - Students will take their first competition test in class next Thursday. Normal pickup time.
Sound is produced when something vibrates. Anybody have any examples of something that vibrates to create sound?
How about guitar strings, a metal bell, speakers?
When one of these vibrates it knocks the molecules in the air back and forth. Those molecules bump into the molecules next to them, which bump into more molecules, etc, until those molecules bump something in our ears. If you were to visualize this bumping, you could draw something like this:
This is called a wave. The top of the wave is when the molecules were pushed forward, and the bottom of the wave is when the item was vibrating away from your direction. Notice how the wave repeats itself again and again? That's why a sound lasts more than a split second. Even when we are talking and the words are changing, each sound is repeated many times in a wave before it changes to a new sound.
Anybody have an idea of how noise cancelling headphones might work?
If you want to get rid of the noise, you might want to figure out a way to cut off the tops of all the waves, for example. All headphones do this! The over-the-ear headphones are better at this than earbud headphones. They are big because that helps block the high frequency sounds.
High frequency means that the waves look like this:
Low frequency waves look like this:
Low frequency waves travel through headphones better than high frequency though, so scientists needed a new way to cancel that noise. The way they did it takes advantage of a very interesting property of waves. If you take two waves that look like this and combine them you get this:
This is called reinforcement. The peaks of the waves line up and the bottoms line up, making each seem stronger than before. But what happens if you line up the peaks of one wave with the bottoms of the other wave like this:
They actually end up cancelling each other out! When we're talking about sound, this makes the sound disappear. Noise cancelling headphones have a circuit (though usually not a computer) that samples the low frequency waves and outputs an offsetting wave. No more annoying background noise so you can enjoy your music!
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