大多数人不知道自行车是如何工作的 veritasium 2021-11-28

转向的错觉:我们如何错误地理解自行车

大多数人并不知道自行车究竟是如何运作的。

View/Hide Original English

Most people don't know how bicycles actually work.

“我们再试一次。”

View/Hide Original English

Let's try it again.

因此,我们改装了这辆自行车来证明这一点。

View/Hide Original English

So we modified this bike to prove it.

本视频由KiwiCo赞助。

View/Hide Original English

This video was sponsored by KiwiCo.

更多信息将在节目末尾介绍。

View/Hide Original English

More about them at the end of the show.

当你骑自行车想要左转时,我想大多数人会简单地认为你只需将车把向左转。

View/Hide Original English

When you're riding a bike and you want to turn left, I think most people just imagine you turn the handlebars to the left.

这辆自行车就是用来测试这个假设是否属实的。

View/Hide Original English

This is a bike to test whether that is true.

它是由我的朋友里克(Rick)制作的。

View/Hide Original English

And it's made by my friend Rick here.

他有一个无线控制器,可以锁定转向,使其只能向一侧转动。

View/Hide Original English

He's got a radio controller that allows him to lock out the steering to one side.

所以,当我在骑行时,他会选择我只能向左转还是向右转。

View/Hide Original English

So, what he's going to do is, as I'm biking, he's going to pick whether I can turn either to the left or to the right.

那么,开始吧。

View/Hide Original English

So, go for it.

里克:我让它左转。

View/Hide Original English

Rick: I'm giving it a left turn.

销子会拔出来,但你可以看到,在我拔出销子后,你仍然可以完全转向。

View/Hide Original English

It pulls the pin out, but you can see that you can still fully steer after I've pulled the pin out.

我已经启动了。

View/Hide Original English

I've armed it.

转向就在这里锁住。

View/Hide Original English

There's where it locks.

现在,当你的LED(Light-Emitting Diode: 发光二极管)亮起时,就表示只能向那个方向转。

View/Hide Original English

Now, that's when your LED comes on, and that just says turn that way.

向左转。

View/Hide Original English

Turn left.

如果我尝试右转,我做不到。

View/Hide Original English

And if I try to turn right, I can't.

如果我尝试左转——

View/Hide Original English

And if I try to turn left—

你可以。

View/Hide Original English

You can.

我可以。

View/Hide Original English

I can.

所以问题是,我能否成功完成这个左转?

View/Hide Original English

So the question is, can I successfully execute this left-hand turn?

我们要不要试一下?

View/Hide Original English

Should we give it a shot?

我的意思是,他不会告诉我只能左转还是右转,所以我必须看LED指示灯来知道我还能向哪个方向转。

View/Hide Original English

I mean, he's not going to tell me whether it's left or right, so I have to look at the LED to know which way I can still turn.

里克:你准备好了告诉我。

View/Hide Original English

Rick: You let me know when you're ready.

好的。

View/Hide Original English

Okay.

(惊呼)不!

View/Hide Original English

(Exclaims) No!

那本该是右转,但根本没有可能。

View/Hide Original English

That was meant to be a turn to the right, but there was no chance in hell.

左。

View/Hide Original English

Left.

(惊呼)右。

View/Hide Original English

(Exclaims) Right.

好的。

View/Hide Original English

All right.

(惊呼)右,右,右!

View/Hide Original English

(Exclaims) Right, right, right!

天哪!

View/Hide Original English

God!

转向与平衡:反直觉的机制

如果你仔细观察,就能发现问题所在。

View/Hide Original English

If you look closely, you can see the problem.

在这里,我试图右转,但向那个方向转向会让我失去平衡。

View/Hide Original English

Here, I'm trying to turn right, but steering that way puts me off balance.

如果你能骑这辆自行车,你会发现,不先向右转向就无法左转,不先向左转向就无法右转。

View/Hide Original English

If you could ride this bicycle, you would find it's impossible to turn left without first steering right, and it's impossible to turn right without first steering left.

这似乎是错的。

View/Hide Original English

This seems wrong.

我想大多数人认为,你只需将车把指向你想要去的方向,就能让自行车转弯。

View/Hide Original English

I think most people believe you turn a bike simply by pointing the handlebars in the direction you want to go.

毕竟,开车就是这样。

View/Hide Original English

After all, this is how you drive a car.

将前轮指向任何你喜欢的方向,汽车就会朝那个方向行驶。

View/Hide Original English

Point the front wheels any direction you like, and the car just goes that way.

但自行车不同之处在于,转向不仅影响你前进的方向,它还会影响你的平衡。

View/Hide Original English

But the difference with a bicycle is steering doesn't just affect the direction you're headed; it also affects your balance.

想象一下,你想要右转,于是你将车把向右转。

View/Hide Original English

Imagine you want to make a right turn, so you steer the handlebars to the right.

你实际上是把自行车从你身下转开了。

View/Hide Original English

What you've done is effectively steered the bike out from under you.

这样一来,你就会向左倾斜,地面会给自行车一个向左的力,所以不摔倒的唯一方法就是将自行车向左转向。

View/Hide Original English

So now you're leaning to the left, and the ground puts a force on the bike to the left, so the only way not to fall is to steer the bike to the left.

你就完成了一个左转。

View/Hide Original English

You have made a left turn.

如果你真的想右转,你必须先向左反向转向(counter-steer: 骑行时为实现转向而先向相反方向轻微转动车把),这样你才能向右倾斜进入弯道。

View/Hide Original English

If you really wanted to turn right, you first have to counter-steer to the left so you can lean right into the turn.

这是任何骑自行车的人都凭直觉知道,但却无法明确表达的。

View/Hide Original English

This is something anyone who rides a bike knows intuitively but not explicitly.

向左转!

View/Hide Original English

Turn left!

拍摄一个骑自行车向你驶来的人,告诉他们转向哪个方向,你会发现他们甚至无需思考就会进行反向转向。

View/Hide Original English

Film someone riding a bike towards you and tell them which direction to turn, and you will find that they counter-steer without even thinking about it.

大力向左!

View/Hide Original English

Hard left!

当你骑自行车时,这与我们所说的倒立摆(inverted pendulum: 一种不稳定的平衡系统)或在手上平衡扫帚柄的情况完全相同。

View/Hide Original English

When you're riding a bike, it's exactly the same as what we call an inverted pendulum or balancing a broomstick on your hand.

如果我正在平衡它,然后我开始走向你,它总是会向远离你的方向倒下。

View/Hide Original English

If I'm balancing it and I just start walking toward you, it will always fall away from you.

如果我想走向你,这很容易做到,人们天生就知道如何做。

View/Hide Original English

If I want to walk towards you, it's easy enough to do, and people inherently know how to do it.

如果我把它向后拉,我现在就可以朝那个方向走。

View/Hide Original English

If I pull it backward, I can now start walking that way.

我必须先开始倾斜才能转入。

View/Hide Original English

I have to initiate the lean to turn into it.

如果你想把摆锤移动到某个地方,你首先要将底座向相反的方向移动。

View/Hide Original English

If you want to move the pendulum somewhere, you first move the base in the opposite direction.

这样,摆锤就会向你想要去的方向倾斜,然后你就可以随之移动。

View/Hide Original English

And now the pendulum is leaning in the direction you want to go, so you can move with it.

独轮车也是如此。

View/Hide Original English

And it's the same with a unicycle.

为了向前行驶,你首先必须向后踩踏板。

View/Hide Original English

In order to go forward, first, you have to pedal back.

这样你就能向前倾斜,然后就可以随之向前行驶。

View/Hide Original English

So, you're leaning forward, and then you can go forward with it.

你在独轮车上所做的一切,都是为了让那个接触点相对于你保持在正确的位置。

View/Hide Original English

Everything you're doing on a unicycle is all about keeping that contact patch right where it needs to be relative to you.

你正在平衡扫帚柄。

View/Hide Original English

You're balancing the broomstick.

只是在独轮车上,你通过踏板进行纵向平衡,而横向平衡(左右平衡)则与骑自行车时相同。

View/Hide Original English

It's just that on a unicycle, you do the longitudinal balance with the pedals, and you do the lateral balance, the side to side, the same as you do with a bike.

你基本上会进行小幅度的反向转向来转移重心,让接触点移开,然后你就可以踩踏板并将其带回到你身下。

View/Hide Original English

You essentially make a small counter-steer to shift your weight, to get the contact patch out, and then you can pedal and bring it under you.

现在我应该指出,有时当转向被锁定时,我们恰好向正确的方向倾斜,从而完成了转弯。

View/Hide Original English

Now I should point out that sometimes when the steering locked, we just happened to be leaning in the right direction to execute the turn.

右,右,右,右,右!

View/Hide Original English

Right, right, right, right, right!

右,右,右,右。

View/Hide Original English

Right, right, right, right.

哦,成功了!

View/Hide Original English

Oh, managed it!

基本上,纯粹是运气使然,我们在车把一侧被锁定之前就已经进行了反向转向。

View/Hide Original English

Essentially by sheer luck, we had counter-steered before that side of the handlebars locked out.

现在,我可以继续前进了。

View/Hide Original English

Now, I can keep going.

里克:是的,但不要左转,否则你会遇到麻烦。

View/Hide Original English

Rick: Yeah, but don't turn left, or you're going to be screwed.

我不能左转。

View/Hide Original English

I can't turn left.

有趣的是,这表明你仍然可以骑得很好,对吗?

View/Hide Original English

What's interesting about this is it shows that you can still ride the bike perfectly well, right?

只是你不能左转。

View/Hide Original English

It's just you can't turn left.

有趣的是,你无法启动转弯。

View/Hide Original English

The funny thing is that you couldn't initiate the turn.

我的意思是,最惊人的发现是,转向不仅仅是为了转动自行车;转向是为了保持平衡。

View/Hide Original English

I mean, the wild takeaway is that steering is not just for turning the bike; steering is for balancing.

完全正确。

View/Hide Original English

That's exactly right.

转向在维持平衡中的作用

为什么在静止的自行车上很难保持平衡?

View/Hide Original English

Why is it hard to balance on a stationary bike?

我想大多数人认为这是因为车轮没有转动,所以没有陀螺效应(gyroscopic effect: 旋转物体在惯性作用下保持其轴向不变的现象),但事实并非如此。

View/Hide Original English

I think most people believe it's because the wheels aren't spinning, so there's no gyroscopic effect, but that's not it.

事实是,你通过转向来让自行车保持在你身下,但当你静止时,转向是无效的。

View/Hide Original English

The truth is you use steering to keep the bike underneath you, but steering doesn't work when you're stationary.

你的平衡并非主要来自于你身体在自行车上的位置,而是来自于你如何转向自行车以使其保持在你身下。

View/Hide Original English

Your balance comes not so much from how you position your body over the bike, but by how you steer the bike to keep it underneath you.

即使在直线行驶时,你也在不断进行微小的转向调整以保持平衡。

View/Hide Original English

Even when going straight, you're constantly making small steering adjustments to maintain balance.

你正在将前轮的接触点移动到你身下。

View/Hide Original English

You're moving the contact patch of the front wheel under you.

你所做的,正是你在手上平衡扫帚柄时所做的事情。

View/Hide Original English

You're doing exactly what you do when you balance a broomstick on your hand.

没有骑手的自行车如何保持稳定

那么,如果骑手负责转向自行车以保持平衡,没有骑手的自行车又是如何保持直立的呢?

View/Hide Original English

So, if the rider is responsible for steering the bike to keep it balanced, how do bikes without riders stay upright?

只要自行车以足够的速度行驶,它就可以无限期地滑行。

View/Hide Original English

As long as a bike is moving with sufficient speed, it can keep coasting indefinitely.

我最初是通过MinutePhysics(一个科普视频频道)的精彩视频了解到这一现象的,这启发我制作了本视频。

View/Hide Original English

I first became aware of this phenomenon through the great videos by MinutePhysics, which inspired me to make this video.

你绝对应该去看看他们的视频。

View/Hide Original English

You should definitely check them out.

但事实证明,我们去测试这个效应的地面非常崎岖不平,然而自行车仍然能够吸收所有这些扰动并保持稳定。

View/Hide Original English

But it turned out the ground where we went to test this effect was really bumpy, but the bike still manages to absorb all these perturbations and remain stable.

那么,它是如何做到的呢?

View/Hide Original English

So, how does it do this?

我想大多数人认为,是车轮的旋转产生了某种陀螺效应,从而抵抗倾倒,就像这个陀螺进动(gyroscopic precession: 陀螺仪受外力矩作用时,其自转轴绕力矩轴旋转的现象)的演示一样。

View/Hide Original English

I think most people believe it's the wheels spinning that creates some sort of gyroscopic effect that resists falling over, just like in this demonstration of gyroscopic precession.

即使重力将其向下拉,车轮也能保持直立。

View/Hide Original English

The wheel stays upright even though gravity is pulling it down.

但这不是自行车稳定的原因。

View/Hide Original English

But this is not why bikes are stable.

只要看看当我们完全锁死车把,使其只能直线前进时会发生什么。

View/Hide Original English

Just watch what happens when we lock the handlebars completely so you can only go straight ahead.

锁死了,锁死了。

View/Hide Original English

Locked out, locked out.

哇!

View/Hide Original English

Whoa!

只是转向被锁住了。

View/Hide Original English

All that is happening is the steering is locked.

你只需要骑它。

View/Hide Original English

You just have to ride it.

你不必转弯。

View/Hide Original English

You don't have to turn.

你只管骑。

View/Hide Original English

You just ride.

放手。

View/Hide Original English

Letting go.

有些人尝试骑得非常快。

View/Hide Original English

Some people tried going really fast.

(众人笑)

View/Hide Original English

(group laughs)

其他人则尝试了极端的平衡技巧。

View/Hide Original English

Others experimented with extreme balancing techniques.

他正在倾斜。

View/Hide Original English

He's leaning.

不要太快!

View/Hide Original English

Don't go too fast!

(众人笑)

View/Hide Original English

(group laughs)

但即使有车轮的陀螺效应,也没有人能让自行车保持直立超过几秒钟。

View/Hide Original English

But even with the gyroscopic effect of the wheels, no one was able to keep the bike upright for more than a few seconds.

(人群惊呼)

View/Hide Original English

(crowd exclaims)

这根本不安全。

View/Hide Original English

This is not safe for a second.

在转向锁死的自行车上保持平衡,就像在静止的自行车上保持平衡一样困难。

View/Hide Original English

It is just as hard to balance on a bike with locked steering as it is to balance on a stationary bike.

不,这个不可能。

View/Hide Original English

No, this one is impossible.

因为你无法将自行车重新转向你身下。

View/Hide Original English

Because you can't steer the bike back under you.

自行车在没有骑手的情况下之所以能够保持稳定,真正的原因是它们被巧妙地设计成可以自我转向。

View/Hide Original English

The real reason bicycles are stable without riders is because they're cleverly designed to steer themselves.

如果它们开始向一侧倾斜,车把就会向那个方向转动,从而将车轮重新转向它们下方。

View/Hide Original English

If they start falling to one side, the handlebars turn in that direction to steer the wheels back underneath them.

自我校正的机制

至少有三种机制促成了自行车的纠正性转向。

View/Hide Original English

At least three mechanisms are responsible for a bike's corrective steering.

首先,由于前叉的角度,转向轴(steering axis: 自行车前叉的旋转轴线)与地面相交于车轮接触点的前方。

View/Hide Original English

The first is that due to the angle of the front fork, the steering axis intersects the ground in front of where the wheel touches the ground.

因此,如果自行车开始向左倾斜,地面作用在轮胎上的力会使车轮向左转。

View/Hide Original English

So, if the bike starts leaning to the left, the force from the ground on the tire turns the wheel to the left.

如果自行车开始向右倾斜,地面作用的力会推动车轮向右转。

View/Hide Original English

If the bike starts leaning right, the force from the ground pushes the wheel to the right.

自行车的前轮本质上是一个脚轮(caster wheel: 一种可自由旋转以适应方向变化的轮子),就像你在婴儿车或购物车上看到的那种。

View/Hide Original English

The front wheel of a bicycle is essentially a caster wheel, like those you find on strollers or shopping carts.

无论你如何推动它们,轮子都会自动对齐并朝同一个方向滚动。

View/Hide Original English

Whichever way you drive them, the wheel falls in line and rolls in the same direction.

自行车纠正性转向的第二个原因是,车把和前轮的质心(center of mass: 物体质量的平均位置)略微位于转向轴的前方。

View/Hide Original English

The second reason for a bike's corrective steering is that the center of mass of the handlebars and front wheel are located slightly in front of the steering axis.

因此,当自行车向左倾斜时,它们的重量会推动前轮向左转。

View/Hide Original English

So, when the bike leans left, their weight pushes the front wheel to the left.

如果自行车向右倾斜,它们的重量会使其向右转向。

View/Hide Original English

If the bike leans right, their weight steers to the right.

第三种机制是陀螺效应,但它并不直接使自行车保持直立;它只是辅助转向。

View/Hide Original English

And the third mechanism is a gyroscopic effect, but it doesn't keep the bike upright directly; it just helps steer.

如果你有一个陀螺仪,并向下按压其左侧,陀螺仪就会向左转。

View/Hide Original English

If you have a gyroscope and you push down on the left-hand side, the gyro will turn left.

如果你向下按压其右侧,它就会向右转。

View/Hide Original English

If you push down on the right side, it will turn right.

这就是所谓的陀螺进动。

View/Hide Original English

This is known as gyroscopic precession.

似乎你施加的力会在施力点90度之外的地方产生效果。

View/Hide Original English

It seems as though the force you apply takes effect 90 degrees from where you applied it.

因此,自行车之所以稳定,主要原因在于转向。

View/Hide Original English

So, bikes are stable primarily because of steering.

它们内置了自我转向的机制。

View/Hide Original English

They have built-in mechanisms for steering themselves.

事实上,你不需要所有这三种机制就能制造出一辆稳定的自行车。

View/Hide Original English

In fact, you don't need all three mechanisms to create a stable bike.

研究人员制造了这辆外观奇特的自行车来证明一个观点。

View/Hide Original English

Researchers created this weird-looking bicycle to prove a point.

由于在接触地面的车轮上方有反向旋转的车轮,它没有陀螺效应。

View/Hide Original English

It has no gyroscopic effect thanks to counter-rotating wheels above the wheels that touch the floor.

此外,也没有脚轮效应,因为前轮在转向轴的前方接触地面。

View/Hide Original English

Plus, there is no caster effect because the front wheel touches the floor in front of the steering axis.

但这辆自行车通过其质量分布实现了稳定,重力作用使其向任何倾斜的方向转向。

View/Hide Original English

But this bike is made stable by its mass distribution, the force of gravity on which steers it in the direction of any lean.

现代研究与应用

了解自行车如何工作仍然是一个活跃的研究领域。

View/Hide Original English

Understanding how bicycles work is still an active area of research.

有一个程序可以让你输入所有不同的自行车参数,并查看其自我稳定的速度范围。

View/Hide Original English

There is a program you can use to input all the different bicycle parameters and see the range of speeds over which it is self-stable.

这项研究正在促成更好的自行车。

View/Hide Original English

And this research is leading to better bikes.

这个原型车在车把中安装了一个智能电机,可以主动辅助转向,即使在低速下也能保持自行车直立。

View/Hide Original English

This prototype has a smart motor in the handlebars to actively help steer, keeping the bike upright even at low speeds.

我想,我们仍然在学习关于自行车的新知识是恰如其分的,因为我们大多数人都能骑自行车,却不知道我们是如何做到的。

View/Hide Original English

I guess it's fitting that we are still learning new things about bicycles since most of us are able to ride one without any knowledge of how we're actually doing it.

(未来感音效响起)

View/Hide Original English

(futuristic sound effects play)

KiwiCo赞助信息

大家好,本视频由KiwiCo赞助,他们是出色的动手项目和玩具的创造者,旨在让孩子们接触STEAM概念(STEAM: 科学、技术、工程、艺术、数学的跨学科教育方法)。

View/Hide Original English

Hey, this video is sponsored by KiwiCo, creator of awesome hands-on projects and toys designed to expose kids to STEAM concepts.

随着假期临近,KiwiCo订阅是送给您生活中任何年轻人的完美礼物。

View/Hide Original English

And with the holidays fast approaching, a KiwiCo subscription is the perfect gift for any of the young people in your life.

KiwiCo现在有九种不同的订阅系列,适用于不同的年龄段和主题。

View/Hide Original English

KiwiCo now has nine different subscription lines for different age groups and topics.

此外,他们还向40多个国家发货。

View/Hide Original English

Plus, they ship to more than 40 countries.

我认为这是一个很棒的礼物,因为每个月都会有一个盒子送到你家门口,提供数小时的娱乐和学习。

View/Hide Original English

I think it's such a great gift because each month a box turns up at your door and provides hours of entertainment and learning.

我的孩子们喜欢和我一起制作KiwiCo项目。

View/Hide Original English

My kids love building KiwiCo projects with me.

这是我们一起做的特别的事情,你可以直接开始,因为每个盒子都附带了你所需的所有材料,甚至还有一些备用材料,以防你丢失东西。

View/Hide Original English

It's a special thing we do together, and you can jump right in because each box comes with all the supplies you need, even a few extra in case you lose something.

你们看,今天我制作了这个水车喷泉,正好符合“车轮”的主题。

View/Hide Original English

You know, today I built this waterwheel fountain, fitting with the wheel theme.

设计和说明都非常周全,因为每个项目都由专家设计并经过儿童测试。

View/Hide Original English

The design and instructions are so well thought out because each project is designed by experts and tested with kids.

此外,还有一个教育杂志,其中包含围绕箱子主题的许多额外内容。

View/Hide Original English

There's also an educational magazine with lots of additional content around the crate's theme.

对于本频道的观众,KiwiCo提供任何订阅箱首月50%的折扣。

View/Hide Original English

For viewers of this channel, KiwiCo is offering 50% off your first month of any crate.

只需访问kiwico.com/veritasium50。

View/Hide Original English

Just go to kiwico.com/veritasium50.

我会将该链接放在描述中。

View/Hide Original English

I will put that link down in the description.

因此,我要感谢KiwiCoVeritasium的支持,也感谢大家的观看。

View/Hide Original English

So, I want to thank KiwiCo for supporting Veritasium, and I want to thank you for watching.

📌 文中提及的人物和组织

公司/组织: KiwiCo

媒体/书籍: MinutePhysics

关键字: balance counter-steering effect self steering