The Fastest Track-The Tautochrone Curve
HTML-код
- Опубликовано: 3 июл 2021
- I show you how a cycloid works with pendulums and tracks in order to make a brachistochrone track and a tautochrone track with a cycloid.
My snap channel: bit.ly/3hO5ThV
My RUclips shorts channel: / @actionlabshorts
Get Your Experiment Box Here: theactionlab.com/
Checkout my experiment book: amzn.to/2Wf07x1
Follow me on Twitter: / theactionlabman
Facebook: / theactionlabofficial
Instagram: / therealactionlab 
Наука
I love that he put cycloid feet on the cycloid track. Nice touch
Ya
@I care shut up
Designing the cycloid feet took the exact same amount of time to design the main cycloid.
@I care get a life
Yup
I'm gonna make a human slide with this and zoom fast
Ples guach mein second-to-last viseo, the one about robots taking our jobs, it's very funny
2nd
Just ignore the screams of pain as you barrel down their backs. It is a _human_ slide after all.
@@Jettmans20 not everybody replies to verified users just to get visibility. Not me for sure.
Where are you going to get all of those humans from? Hey, what are you doing with that kni-?
the fastest curve for news to travel is called the tabloid
Perfect!
nice
you mean fakenews?
@@kirkhamandy Be careful what you ask for. RUclips clip from Conan O'Brien:
ruclips.net/video/dFsDnn9FjOQ/видео.html
The fastest curve for a photon to travel is called space-time.
I’ve always known that the formula for the period of the pendulum wasn’t perfect due to the small angle approximation, but I never knew you could fix that with a cycloid !
Drinking with a mask is stupid...
@@codemeister3 yes, but if it’s water then at least it won’t stain anything other than my reputation ( ͡° ͜ʖ ͡°)
@@codemeister3 ruclips.net/video/Nt14bHn1my0/видео.html
@Edward What does that even mean?
@@ndr1259 The two cycloids next to each other look like a pair of buttocks. Hence his comment. It's advanced comedy.
He brings greater meaning to the quote "If you find Physics boring then you're just learning it from the wrong teacher"
When physics and good teacher meets...
Boom happens..
You probably are a scientist 😂
Lol!
I don't know what's happening here..🥴
Boom Boom bill
Best comment 😂
You are the best Physics teacher ever!!
Yes
Yes
Yes
laughs in Mark Rober
I remember when this guy was a knockoff of the hydraulic press channel I'm glad he stuck to after the fad died and make the channel his own
I've seen the racing demonstration before, but the added understanding of where the curve comes from and how it relates to periods is an excellent expansion. Thanks, this was very informative!
Vsause's video about this is olso interesting, it's title is "The Brachistochrone"
Yes
Thats like one of the most popular videos on his channel
Thanks
VSauce *
Yessss, I just commented about it uwu
Me who watched it in Vsauce:
I am four parallel universes ahead of you
As long as you don't follow a tautochrone curve you will never be faster
Same I remember how he says brachistochrone
@@gustavgnoettgen Brachistochrone then. Tautochrone is used to refer different path length but giving the same time to get from A to B. Both are the same path but named differently depending on what you re looking for.
Go the Brachistochrone!!! Lol
As per this video , whether you knew it earlier than us and it is now that we are knowing it , we will still meet at the same point . Ik this comment makes no sense
Everything you say in your videos is always so easy to understand, you help make science more approachable and enjoyable for people who lack the basics. You explain it all without going too much in depth, but while still making it really understandable, and thank you a lot for that
I would have loved physics at school if you were teaching the class. ✨
@@kirkhamandy All you people? Really... So you take my random throw away comment made on RUclips, and claim to know everything about my schooling. Along with magically having knowledge about my attention span whilst being taught. Oh and you know I’m forgetful too!
That is more impressive that this video. Maybe you should get out more, relax and eat some pasta 🍝
I’m not sure if you are trying to make a genuine point or just wanting to be pedantic? Anyway it comes across as the latter.
Take care, and enjoy your many hours of math. 😊
@@kirkhamandy Fair enough, I understand now. I did actually enjoy physics along with math, and my comment was meant jokingly.
I can totally understand your stand point, as I have seen many similar examples regarding music production & songwriting. I’ve been a professional producer for many years now and see so many people praising so called producers, who cannot actually produce anything unless it’s done for them. I have to work under many different names when producing different genres, because of how people allocate one name with one genre. It’s messy and I could comment on many videos regarding this, but I don’t bother as it would probably come across wrong. I now only use my personal channel for fun projects, so nobody knows about everything I actually do, it’s easier. Anyway, thank you for clearing that up, and I would suggest to try not letting the comments on RUclips impact on you, it’s mostly nonsensical babble. 😊
@@kirkhamandy No problem, all the best to you. 🙏🏼
Love you from Egypt , keep up the great vids fam
Yeah
Tunisia, love you all.
You're the best physics teacher who teach us without any expectation🥰 whatever u explain it will very neat and clean with example 🤗
Great demo. Thanks
I just learned about cycloids for the first time yesterday and today I get this amazing video. Crazy coincidence.
They're always listening! lol
RUclips is everywhere 😅
You probably searched for something similar on Google and since Google and RUclips are both connected, it could be that the RUclips algorithm reacted to your Google search (if you're logged into RUclips with your gmail account).
Everyone: "The fastest way to get from point A to point B is a straight line"
Physicists: "Unless you're going downhill. 😑"
Technically the path of point A to B on Earth is still an arc, not a straight line, since it follows the (ground elevation) curvature of the Earth. Though it could be approximated as a tangent/straight line, since your change in angle towards the center of the Earth is less than 0.01 degrees if you travel under 5 miles distance. Not to nitpick your last sentence, but obviously as the video showed, going downhill (downhill = constant negative gradient) is slower than going down a parabolic slope which also happens to go up a parabolic slope in the last half. It's just converting potential energy faster to kinetic energy, which results in a fast velocity resulting in more distance traveled over time. m*g*h = PE = KE = 1/2mv^2, where PE=100% at the top height, and KE=100% PE=0% at the bottom height.
@@APioneerInTheSeaOfStars Makes sense. The only other caveat is that a falling object would reach a given point faster due to less friction. So, are you a physicist?? 😄
@@Dozerson2 Anyone can be deemed a physicist, but I do not have a physics degree. Just a good ol' engineer that took a few physics courses. One point about what you said, "friction". Ideally, the ball going down a surface will be rolling along the surface, so friction really isn't that big of an issue. Search "rolling friction". There is very little friction, almost negligible, if a circular object rolls along a surface. There is no sliding friction on the ball. If you are talking about air friction, both balls rolling down a slope or falling through air will reach the same max speed over time because air friction becomes the dominant force stopping acceleration. It would reach "terminal velocity".
@@APioneerInTheSeaOfStars Good to know!
@Dozerson2 - And that downhill is a cycloid.
"The fastest path is a curve", I feel like I'm hearing the echoes of relativity here
Gravity curves space...
Well actually the path in general relativity that is the fastest is still straight. It just differs from how our intuition of straight paths works for euclidean space. Technically, all objects in free fall are on straight paths. Whether that's the earth around the sun, a ball through the air, or a satellite in orbit of earth.
@@solsystem1342 What's going on here is that the path and pace of the rolling object is a *derivative* of gravity and the form of the ramp, not a straight line (in terms of gravitationally-reshaped spacetime). But it's still intriguing to look at it in those terms. How might one characterize the path of the ball through spacetime? If gravity-"bent" space were "straightened out" might it become a straight line? Some other definable curve? I myself lack the wherewithal to understand it fully much less to express it mathematically -- but I think the intuition of @Hyperscience has merit. We live in a deep gravity-well. Our universe is invisibly skewed.
@@jamesg1367 oh, no. I didn't mean a path on a ramp was a straight line in spacetime. Neither is standing still.
@@solsystem1342 In real terms yes, but I think for this purpose, mathematically and conceptually, one would assume Earth were at a standstill. I think that's consistent with Einstein's "man in a falling elevator" thought experiment. It would serve to isolate gravity as a factor in the shape of the object's path.
We love your videos! Thank you!!!
best nature sciences channel on youtube. I love how you always make your videos accessible to casually curious as well as seriously curious.
Perfect video to fall asleep to, cuz I have no clue what he's taking about
You don't need that much of background knowledge to understand this...
@@aboriani well ig it just means I'm that dumb, ay?
That was the thing vsauce did a long time ago. Still cool.
I remember watching that when it came out and when I first saw the thumbnail that video by Vsauce sprang straight into my mind hahaha
@@ExtremeSpeedMewtwo yeah, same
What's the name of that video?
@@Josh1OD ruclips.net/video/skvnj67YGmw/видео.html
@@brar665 That was very kind of you.
Good job bro, I really enjoy you're videos. Thank you for explaining things in a way we all can understand and not dumbing it down at the same time. Keep up the good work, you're super interesting and addicting to watch somehow lol
Love these videos thank you
This guy answering my questions those I never thought
Comment no.88: I wish physics was taught like this in high school
"comment no.88:" u a bot for sure
@@rahilrahman266 how?
Yeah, especially the bit with "the higher you start the lower the frequency" which is NOT what I was told in high school! Grr!
Not today sonny
@@RegebroRepairs Your teacher was making the assumption sin(theta) = theta, which is nearly correct for small angles.
THANK YOU FOR SHARING
Your content never ceases to impress me
We had a park near our house where there was a thin worn path down into another more dense brush area of the park about 15 feet to the bottom of the depression of land/elevation.
Riding down this super steep curved path was the fastest acceleration I have ever felt on a bicycle, and looking at this video, it was about the same shape. Within a matter of only a few short seconds, I was easily going 20-35 miles per hour. Maybe even more, but it was hard to tell as it was very bumpy and there was such dense vegetation. All this made it terrifying, as there was no point to safely stop or slow down without riding along the rest of the path another 100+ feet into the lower elevation level of the park.
In case anyone wishes to visit this park/path and understand/visit a real world example of this, 21081 Main St NE, Aurora, OR 97002 is the address of the park.
can you post seperate videos explaining the maths behind these.
like for science enthusiasts, it would be great to hear those exlainations from you
You can watch 3b1b's video on it. He gives an elegant explanation to the brachistochrone problem.
ruclips.net/video/Cld0p3a43fU/видео.html
Love your stuff action lab!
This is super awesome!
Watching from the Philippines🇵🇭
When he said 'Galileo', my brain automatically continued the lyrics from Bohemian Rhapsody😂
Great job!
Thanks for the video.
HAPPY 4TH JULY.
Oh I love this, Adam Savage made a track too
Your shorts channel is actually so good. Great job!
This channel is flourishing so brilliantly.
Videos are amazing thank you for educating me!!
3:50
π ≈ sqrt(g)
=> T ≈ sqrt(r)
It is not just a coincidence that pi is roughly equal to the square root of g. An early idea for defining the meter was for it to be the length of the 2-second pendulum in the grandfather clock.
@Google-san sqrt = square root
Didn’t Vsauce make a video about this? Because I think he did
brachistrchrome
A few in fact
Wow cool chanel name
Or did he?
he did it, right, *wROnG*
He just has an incredible amount of original material. He must have a team that helps with planning. 🤯
I have been blown away 💥
That trick on a rolecoster would be pretty scarry.
This channel needs more subscribers Come On people!!
Interesting stuff. Please keep up the good work.
I really appreciate the additional information regarding the word tautochrone. I was familiar with the term brachistochrone, and am happy to learn something new.
I've studied it in my 9th standard 👍🏽👍🏽
yo where are u from.........which school man sounds super interesting..........
@@srishailspujar6278 ruclips.net/video/Nt14bHn1my0/видео.html
Can't imagine my day without listening to
" *Hey everyone, today I'm gonna show you----------* "
❤️❤️❤️
I'm really impressed with this video.
Thanks Mr Action.
What's really amazing is how simple that equation is!
shoutout to this man, he taught me more than all my teachers combined......
Won't u tell the reason why pendulum syncs with cycloid but not without it.?
I think the cycloid is just used for reference
On the way up, the string comes in contact with the cycloid, which regulates the speed. Take a closer look, you can see it in action. I think probably if you didn't start it high enough to come in contact with the cycloid, it wouldn't have any effect.
@@uncaboat2399 ruclips.net/video/Nt14bHn1my0/видео.html
PLS THE WAY U EXPLAIN CONCEPTS IS JUST FIREEEEEEEEE
Amazing explanation.
💠
Did Bernoulli sleep before he found the curve of quickest descent?
Bro... My friends dog just jumped all over me. I blew off hair he got on my phone. Then seconds later I scrolled down a little and your pic got me.
@@xKapnKrunch always nice to hear these stories hahaha
Loved it!!
I love this channel a whole lot
"They don't match at all"
Yeah just like manballs one lower one higher
So true
Oh come on!! I am having my food rn 🙏
@@xiaoshen194 oh man sorry bro🤣🤣
V sauce and Adam Savage already did this curve
Thanks for sharing knowledge
i always watch his videos at 2x speed, saves a lot of my time.
❤️👍
We have just lost the game.
Hi again, I'm still sad we lost the game
Man I really thought we would win
I think ur first
This one blew my mind. Very cool.
This is really cool!
EARLY PUBG PLAYERS WILL REMEMBER THIS!
Welcome to Gboard clipboard, any text that you copy will be saved here.Tap on a clip to paste it in the text box.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
Welcome to Gboard clipboard, any text that you copy will be saved here.Tap on a clip to paste it in the text box.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
Welcome to Gboard clipboard, any text you copy will be saved here. Tap on a clip to paste it in the text box. Use the edit icon to pin, add or delete clips. Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
This is one of the best videos I've ever watched
Great video!
Curve? CURVE DOESN'T EXIST, EARTH IS FLAT.
joke alert
😂🌏
Haha
In Brachistochrone curve
If we drop a ball then it should take infinite amount of time to settle down in the centre
Woa thank you!! Our teacher didn't tell this to us when we learned the pendulums!! Im sure he never thought of this. We just learned if the angle is low then they are equal!! But not more. Thank you :) so happy
That's so cool thanks for teaching me this!
Then why aren’t roads made out of cycloids
Because most cars aren’t powered by gravity.
That was really interesting! Awesome mate!
quality content as always
Thank you. Very educational experiences.
Why this channel is so underrated, must support this channel
Great explanation! I kept seeing the "tautochrone problem" being mentioned in my studies of fractional calculus. Now I see a basic physics problem that naturally involves applications of "half derivatives" or "half integrals". Thanks for posting!
Very interesting...thanks- you explain very well!
I love learning about stuff that I would not even contemplate. So cool!
I enjoyed the video, thank you for your knowledge.
That was incredible, I actually really learned something
Its an always pleasure to watch these videos how short they may be.
I'm from germany and I really love your videos but sometimes it's hard for me to understand the mathematical calculation and follow your words at the same time. You are very good at explaining the math behind those fascinating things. Love your videos, greetings from Germany
Your videos are very informative and i get to know many things only from your channel thank you very much i hope your channel becomes more popular😊
Wow! I discovered this while hanging out with friends at a skate park that had a cycloid segment as a ramp, but never understood
Your videos are making me so curious to know the answers to questions I never had lol
Man, I am 46 years old Computer Engineer and I still learn new things in your channel!. I feel like I learned nothing in the school or I forgot everything already!. Thank you.
This is the best channel on RUclips. He's so cool.
3:45 *ahh yes, I understood every word he said*
it's nice to see someone enjoying physics experiments
This is the trick that Spider-man uses to get to places faster!
Nopes, he always swings in a circle, as the web length from his grip is constant through out the swing..!!😁🤪
Love your content, I hope you’re making a fortune!
Fascinating! 👍
“A racetrack where nobody wins”
Me: “haha, ah yes, life”
Great video! Added this to my liked videos.