Name: 4つの革命的な謎が解決! (4 Revolutionary Riddles Resolved!)
Uploaded: 2021-01-14T10:25:26.000Z
Duration: 8 min 51 s
Description: VoiceTubeの動画で発音を聞きながら英語表現を覚えよう！学べる英語：

This video contains the answers to  my four revolutionary riddles,

様態の副詞

so if you haven't seen the riddles yet, you should probably watch them before you watch the answers.

程度の副詞

It's OK; I'll wait. Just click this card up here.

Now, when I filmed the riddles,  I also filmed the solutions at the same time,

but that was before I received your 15,000 comments and dozens of video responses,

so I'm re-shooting parts of this solutions video to incorporate the results I saw in the comments

and to use some of your video responses to help explain the solutions.

OK, by looking at the comments, for #1, over 15% of you said "a cylinder containing sand",

...very far before it stops, and then it won't roll again

because I think the sand just kind of levels off in there.

Maybe you were thinking a bigger kind of sand,

Nearly 25% of you said, "a cylinder half-full of water,"

and nearly 45% of you said, "a cylinder half-full of a viscous liquid."

Here, I have a half-full container of honey,

That's not bad; it's rolling and it's stopping,

and I think the behavior is not exactly the same as the mystery cylinder,

There are two ping pong balls submerged in this honey.

the center of gravity is not above the point of contact with the ramp, and so it rolls forward,

but now, because those ping pong balls are in the front,

they change the center of gravity, and so it's exactly over the point of contact,

but then, as the viscosity of the honey allows those ping pong balls to move up,

the center of gravity shifts forwards again, allowing this little container to roll.

So that is the trick of the mystery cylinder.

Pretty easy if you want to try it out at home.

Now, I challenged you to run two laps of this track, where the first lap, you could go as slowly as you like,

but the second lap, you had to go much faster,

such that your total average speed was twice the speed of your first lap.

Now, when I was first asked this question by Simon Pampena,

it took me a long time and scribbling on paper, and just something didn't seem to work out,

I mean, you might think I could run 3V₁ for my 2nd lap, and that would mean my total average speed is 2V₁.

The problem is you can't just add the two speeds together and divide by two,

because you spent much more time in your first lap, so that speed is weighted more heavily into the average,

so you'd have to run, well, impossibly fast.

The velocity of the first lap was the distance around the track divided by t₁, the time it took you.

Now, if you want your total average speed to be 2V₁,

You need to run twice the distance in the same amount of time it took you to run the first lap,

but you've already run that first lap, and so you have no time remaining to run the second lap!

you would not be able to increase your total average speed up to twice the velocity of your first lap.

So this may seem like a bit of a trick question,

but the point to me is how doable it sounds, how it seems like something you should be able to do,

was actually answered pretty well, with most people mentioning something to do with the wheels,

but of course, that makes sense, in a series of riddles which are about rotation, rotational motion.

Some people though did point out that maybe it was the steam that was going backwards,

or maybe air molecules in the train,  and that is actually a pretty clever point,

however I wouldn't really consider the air in the train part of the train,

so indeed, the part of the train that is moving backwards

is the flange part of the wheel, which is below the rail.

That is the part of the train which is moving backwards.

To understand why, you just think about a spinning wheel.

The top of the wheel is moving forwards at speed 2V,

and the bottom of the wheel is not moving forward at all; it is stationary with respect to the track,

and that is what we call "rolling without slipping," and that's how most wheels work.

At least, that's how they're designed to work.

Now, in the case of trains, they have to have flanges so the train doesn't fall off its rails,

but of course, when these pieces come around during the rotation of the wheel,

they actually extend beyond the rail, and therefore, they are going backwards with respect to the ground,

so the part of the train that's moving backwards is always changing,

that part that extends beyond the wheel that is below the level of the track.

So what happens when you pull the bottom pedal of a bike backwards?

Well, about 45% of you thought that the bike would move backwards,

about a quarter said it would move forwards, and a quarter said the bike wouldn't move at all,

So let's give it a shot and see what happens.

I'm going to pull backwards on the bike pedal in 3, 2, 1...

and for virtually all bikes, this is what you will find,

but the explanation is not just as simple as "well, the net force on the bike is back,

so therefore, it has to accelerate backwards,"

字幕リスト動画再生

4つの革命的な謎が解決! (4 Revolutionary Riddles Resolved!)

trick

average

force

coincidence