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  • (whooshing)

  • (smacking)

  • - What's up, I'm Destin, this is Smarter Every Day.

  • This is the tip of a bull whip

  • and that crack you hear is this breaking the sound barrier.

  • My question is why or how?

  • Like, if you think about it,

  • your arm's never leaving your body

  • and something's going faster than the speed of sound

  • in just a few hundred milliseconds and over several feet.

  • That's a big deal.

  • OK, now would be an excellent time for me

  • to explain April, April Choi.

  • So April is an engineer first and foremost.

  • I think all this whip business

  • is just a reason for you to explore--

  • - Fluid dynamics? - Fluid dynamics.

  • (cackling) I really do.

  • So April on the internet, you may have seen her,

  • Guinness Book of World Records whip stuff,

  • she's good with whips.

  • But what's really interesting about April, is your brain.

  • - There's something in fluid dynamics

  • known as the no-slip boundary condition.

  • That means air molecules that are right next

  • to this fluffy part stay next to that fluffy part.

  • - [Destin] And so, it's pulling that air with it.

  • - It depends whether or not you're using

  • a Lagrangian framework, which centers on here,

  • or an Eulerian framework that centers on the overall mesh.

  • - That's what I was thinking.

  • I was wondering if it was

  • a Lagrangian or Eulerian framework,

  • but I wasn't going to say anything.

  • The first thing we did was create a new tip

  • for the bull whip and attach it to the whip

  • and after that we set up the camera system.

  • The way we're getting this shot

  • is using the schlieren technique,

  • and this is what took us so long to coordinate.

  • Basically, we have a point-light source right here

  • and that light is coming out, it's spreading out,

  • it's hitting this mirror, this parabolic mirror,

  • and as it comes back, what it's doing

  • is it's converging to this point right here.

  • You can see there's the light coming through

  • at the focal point.

  • And then we've got red and green gels right there

  • and (whip cracks).

  • (laughing)

  • That's scary.

  • Go watch Derek's video on schlieren,

  • it's better than this one.

  • We're just gonna show you

  • how a whip breaks the sound barrier.

  • That is unnerving.

  • After everything was set up, we literally got crackin'.

  • (whip cracks)

  • OK, that triggered.

  • Let's see what it did.

  • We learned two major things in my buddy's garage.

  • First a question, though.

  • What point in the whip extension

  • do you think the crack happens?

  • Growing up, I used to play Castlevania a lot,

  • so for me, it made sense that the crack of the whip

  • would happen at full extension of the whip

  • 'cause that's what you want to do with the bad guys, right?

  • You want to keep them as far away from you as possible.

  • When we set up a high-speed camera

  • expecting the whip to crack

  • like it does in Castlevania, the shockwave

  • would always enter the field of view before the whip did.

  • (thundering)

  • Therefore, it was clear that the crack was happening

  • before the whip was fully extended.

  • So it's cracking way back there.

  • - It's cracking before we think.

  • - I learned something.

  • I didn't know that. - Yeah.

  • I didn't know that either.

  • - It actually happens as the whip unrolls,

  • not at the end like I thought.

  • And in order to visualize what's happening,

  • we switched from the overhand strike

  • to the sidearm strike.

  • What you're about to see here are two engineers

  • that have researched this stuff

  • and were totally blown away because the experiment worked

  • and we're starting to see things for the first time

  • that we totally didn't expect.

  • OK.

  • We are getting somewhere.

  • (laughing)

  • (whooshing)

  • (thundering)

  • (snapping)

  • The second thing that we learned in the garage

  • is there may be a mechanism that's causing it

  • to accelerate just before breaking the sound barrier.

  • (whip cracks)

  • Those strands right there are not in tension.

  • You see that?

  • - Yeah, they're just, it's chaos.

  • - [Destin] And then there's this moment--

  • - [April] Where they all come together.

  • - [Destin] Where they all come together

  • and when it starts to pull,

  • that's when the initial shockwave starts.

  • - [April] So it's the collapse.

  • - [Destin] The collapse is when it happens.

  • - [April] And the drag coefficient's going down.

  • - The fact that we're seeing a new mechanism

  • is a really big deal.

  • So obviously, we have to take this more seriously.

  • We just figured out how whips work.

  • We should totally publish this.

  • - Yeah.

  • - Whip shockwaves have been studied

  • from the experimental perspective in Germany in 1998

  • as well as the theoretical perspective

  • at the University of Arizona in 2003.

  • The Ernst-Mach Institute paper, by the way,

  • freakin' amazing.

  • There's a dude in it that looks

  • like a moose wearing bells and a clown suit.

  • (laughing)

  • I don't know what's happening.

  • It's actually a great paper.

  • You should totally read it.

  • They talk about wishing they had a faster high-speed camera

  • so they could see what happens at the tip.

  • Also, the paper at the University of Arizona,

  • they try to measure with math

  • the entire length of the whip as it unrolls.

  • They try to describe that movement.

  • But what if we could design one experiment

  • that would do all of this?

  • Like all of it at the same time.

  • It would measure the three-dimensional position

  • of the wave as it goes down the whip.

  • It could also measure the tip velocity

  • as it goes supersonic.

  • What if we could do that?

  • And that's exactly what we're about to do.

  • Under the guidance of my doctoral advisor,

  • Dr. Kavan Hazeli at the University of Alabama in Huntsville,

  • we've assembled the team and we're about

  • to figure this junk out.

  • We designed the experiment and gathered together

  • in what's called the atom lab.

  • It uses an array of cameras to track

  • anything with reflective tape on it.

  • The way it works is essentially this.

  • You have a camera and you have

  • a little infrared light around it, right?

  • If you have a piece of reflective tape out there

  • and you shine the light from the infrared camera

  • onto the reflective tape, it bounces back to the camera

  • and it shows up as a really bright dot.

  • So we simply put reflective tape around the whip

  • every 250 millimeters down the length of the whip.

  • We also put reflectors on her arm

  • so we could better understand

  • the mechanical input to the whip.

  • The image from one camera would essentially

  • be an array of white dots at 500 frames per second,

  • but if you coupled this data with the data

  • from other cameras, you can triangulate

  • each individual segment of the whip

  • at 500 frames per second giving you

  • true three-dimensional data.

  • OK, here we go.

  • This is the kind of data we can now get from a whip strike.

  • - [Man] Three, two, one, go.

  • (whip cracks)

  • - The footage you're now watching

  • is 5,000 frames per second.

  • You can can that the Vicon cameras up on the wall

  • are taking data at 500 hertz,

  • which means they're flashing every 10 frames

  • on the high-speed camera here.

  • You'll notice that the whip unrolls normally,

  • very similar to how the paper

  • from the University of Arizona

  • described it mathematically.

  • Let's make a few observations here.

  • First, there seems to be a wave that moves down on the whip.

  • As the hand moves forward and then stops,

  • it transfers momentum into the whip itself.

  • Then, one segment of the whip,

  • as it unrolls and straightens out,

  • seems to transfer all of its momentum

  • into the next segment, and then the next segment

  • and so on and so forth.

  • As indicated by this red line moving along the bottom here,

  • you can see the velocity of that straightening out

  • of the whip moves forward.

  • We can then look at the atom lab data

  • and measure the input momentum in three dimensions

  • and use that information as a tool to help us build a model.

  • So the whips coming up towards the mirror.

  • (muffled mumbling)

  • That's awesome.

  • Is that awesome?

  • - Yes.

  • - Another thing to look at

  • is what's happening on the top of the whip.

  • The velocity is speeding up.

  • Most researchers think this has to do

  • with the conservation of momentum.

  • The whip is tapered so each smaller section

  • on the way down has to speed up

  • to maintain the same amount of momentum.

  • This is the exact reason we took so much time up front

  • to measure the mass and dimensional properties

  • of the whip all the way down.

  • This is where it gets most interesting for me.

  • If you look closely at the atom lab data

  • you'll notice that right at the tip of the whip

  • the markers seems to disappear

  • right when the whip accelerates.

  • This is because the trackers lose the position

  • of the whip markers when they're traveling their fastest.

  • Even if the atom lab didn't lose the track,

  • you can tell that the frame rate of the atom lab

  • isn't sufficient to determine the acceleration

  • through the most interesting part of the wave,

  • which, of course, is the shock formation.

  • This is exactly why we set up the schlieren camera.

  • The atom lab gets all of the wave kinematics

  • on the macro scale and then the phantom can record

  • the tip velocity and actually capture

  • the formation of the shockwave.

  • (light guitar music)

  • (whooshing)

  • I'm not gonna explain any of our preliminary conclusions

  • but at this point we're doing two types of analysis,

  • obviously how that wave propagates,

  • but also the tip velocity of the whip.

  • If you watch closely, it looks like the tip's

  • getting pulled along behind that shockwave.

  • This is super complicated and we're still analyzing this.

  • (whooshing)

  • (smacking)

  • What we do know is that the popper isn't necessary.

  • Dr. Kanistras really wanted us to visualize

  • the end of the whip with only a knot on it

  • and just look at how happy he was

  • when his hypothesis was proven correct.

  • - There you go.

  • There you go.

  • There you go.

  • - So it's like this.

  • For the first time in history, we have true X-Y-Z data

  • from the handle all the way to the tip of the whip

  • and we can straight up write an equation for whip dynamics

  • as a function of mass of the whip,

  • length of the whip, mechanical input,

  • maybe even aerodynamic drag.

  • I know this sounds crazy,

  • but I'm already changing my habits in everyday life

  • because I understand whip dynamics better.

  • Have you ever done this?

  • You're in your car, you reach for your charging cable

  • and you pull it towards you real quick

  • and it whips you really hard?

  • That hurts like a mother.

  • The reason that happens is whip mechanics.

  • I cannot be the only person in the world

  • that's ever done that.

  • You don't want to just pull it quickly

  • because that conservation momentum builds up

  • and you get lashed in the face.

  • So bull whip was probably the first manmade invention

  • to break the speed of sound.

  • But my favorite manmade invention

  • to break the speed of sound was the SR-71.

  • This is not an SR-71, this is the A-12,

  • the predecessor to the SR-71.

  • There are 13 of these built.

  • I'm now going to simulate running to the back

  • at the speed that this aircraft can fly.

  • Ready, watch.

  • That was fast wasn't it, OK? (laughing)

  • I'll go back and do it slower

  • and tell you about the aircraft on the way.

  • OK, we're back at the front.

  • So, I want to tell you about Audible.

  • Audible is sponsoring this video.

  • There's a book called Skunk Works.

  • You can get a free audiobook of your choice

  • by going to audible.com/smarter

  • or texting the word smarter to 500500

  • to get any audiobook of your choice.

  • In this case, your choice is Skunk Works.

  • I've already made your choice for you.

  • You have to listen to this book.

  • It's about the development of the SR-71

  • and the F-117 stealth fighter.

  • I'm sorry, I just passed the hot naughty bits.

  • Look at this.

  • So think about the shockwave.

  • As you're going mach 3.3, which this could do,

  • think about what happened.

  • The shockwave would go right there and it'd spread out.

  • But you had to get air inside the cowling there.

  • It's amazing.

  • Anyway.

  • Go to audible.com/smarter, download Skunk Works,

  • listen to it with your ear holes.

  • You're gonna love it.

  • This thing would heat up in flight.

  • They had to make it out of titanium.

  • All kinds of cool stuff in the book.

  • I just want you to go to audible.com/smarter,

  • download Skunk Works, or text the word smarter to 500500.

  • You're gonna learn stuff, it's gonna make you smarter

  • and you're gonna know more about breaking the sound barrier.

  • Um, I have two blasters and if I fire

  • the one that you're thinking about right now,

  • feel free to subscribe.

  • Or not, whatever.

  • Ready?

  • (sirens blare) (chuckling)

  • They're on the same thing.

  • That's a, they cycle...

  • (sirens blare)

  • See, but now they're not.

  • The gap in my data is spacial.

  • I'm not gonna get any of that.

  • And the gap in your data is temporal.

  • - Right, yes, you're right.

  • - [Destin] But with our powers combined,

  • we're gonna track a whip.

  • - [Man] Right, the fact that my (mumbling)

  • is accurate position.

(whooshing)

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ムチはどうやって音の壁を破るのか?(スローモーション衝撃波の形成) - Smarter Every Day 207 (How does a whip break the sound barrier? (Slow Motion Shockwave formation) - Smarter Every Day 207)

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    賴德謙 に公開 2021 年 01 月 14 日
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