Derivation of beat frequency formula | Physics | Khan Academy
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- Опубликовано: 28 июл 2016
- In this video David derives the formula for beat frequency. Created by David SantoPietro.
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Here's a derivation I found easier:
The waves start in phase, but then wave 2 starts lagging behind wave 1. For that to happen, wave 2 must complete more cycles than wave 1 in the same amount of time.
c1 = t*f1 = how many cycles wave 1 has completed after t seconds
c2 = t*f2 = how many cycles wave 2 has completed after t seconds
At some point, wave 2 will have completed exactly one cycle more than wave 1, which also means that wave 2 and wave 1 are perfectly aligned again! That is, at some t, c2 - c1 = 1, and that t is the amount of seconds it takes for the waves to become perfectly aligned again, so it's the period of the beat. The frequency of the beat = f = 1/t, so let's solve for f
c2 - c1 = 1
Substitute
t*f2 - t*f1 = 1
t(f2 - f1) = 1
t = 1/(f2 - f1)
1/t = f2 - f1
f = f2 - f1
thanks man
In my interference lesson at school I have a formula like this:
*uM = 2Acos[π(d2-d1)/λ + Δ φ/2] cos [ωt - π(d1+d2)/λ + (φ1+ φ2)/2]*
Where do I have to apply this and in which lesson on Khan Academy can I learn about this?
Thank you in advance. This one really challenged me.
Me too in 11grade
That's really some cool stuff. Awesome explanation
Thanks..been looking for this.
nice video, keep 'em khaning
I'm (not) sorry, but, that was HORRIBLE!
@@theflash9735 Nah that's a good one
@@abhishekrbhat8919 Wow. Just wow. I've read about a dude who told how weird it was seeing someone reply to something they wrote years ago and...well its certainly a weird, beautiful, nostalgic, and maybe a bit "sad" of a feeling. Well Abhishek, I just want to say thanks for replying lol. And you know what? You're right! That wasn't horrible and I appreciate the pun now. Have a great life!
@@theflash9735 haha thanks and wish you the same...btw do you remember typing this comment back then?
@@abhishekrbhat8919 Nope lol had no idea!
Thanks for this wonderful explanation :)
This is really helpful！Thanks！
Awesome sir 🙆🙆🙆🙆🙆🙆🙆
Well understood, thank you Sir👍
Thank you👌👌
Amazing explanation man. I'm astonished
Thank u so much
Thanks sir am watching from Uganda,,,,yov made me understand more
Nice 1
Really good explanation
wow very cool explanation!
Interesting explanation
would you care to do a video on sonic boom?
How to calculate beat frequency F3 to A3 ? (F3=174.61Hz : A3=220Hz)
For a beat frequency to occur the difference must be small
who is listenting this chapter still?
M n talking about dr.dre beats 🤣🤣
Play in 1.25 to save time
👎