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 !
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!
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
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.
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!
@@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.
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
You probably searched for something similar on Google and since Google and TH-cam are both connected, it could be that the TH-cam algorithm reacted to your Google search (if you're logged into TH-cam with your gmail account).
@@kirkhamandy All you people? Really... So you take my random throw away comment made on TH-cam, 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 TH-cam impact on you, it’s mostly nonsensical babble. 😊
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".
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
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.
@@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.
I really appreciate the additional information regarding the word tautochrone. I was familiar with the term brachistochrone, and am happy to learn something new.
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.
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
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.
What's cool about the cycloid pendulum is it's actually a pendulum of variable length. As the string hugs the edge of the curve the length of the pendulum decreases, increasing the effective frequency at high amplitudes. As the pendulum swings down and the string unwraps from the curve, the length of the pendulum increases, decreasing the effective frequency at low amplitude. This perfectly compensates for the frequency vs amplitude relationship it so that the frequency becomes constant. Very cool!
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.
I don't understand why anybody over the age of heck probably 14 would need to see this video it is one of the most easy concepts to understand and demonstrate throughout all of the sciences
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.
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Great video! I remember Michael on Vsauce cooperating with Adam from mythbusters to create a track according to the brachistochrone curve. Really fascinating subject.
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
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-?
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 th-cam.com/video/Nt14bHn1my0/w-d-xo.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.
the fastest curve for news to travel is called the tabloid
Perfect!
nice
you mean fakenews?
@@kirkhamandy Be careful what you ask for. TH-cam clip from Conan O'Brien:
th-cam.com/video/dFsDnn9FjOQ/w-d-xo.html
The fastest curve for a photon to travel is called space-time.
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
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 😂
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!
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
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.
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
You're the best physics teacher who teach us without any expectation🥰 whatever u explain it will very neat and clean with example 🤗
Love you from Egypt , keep up the great vids fam
Yeah
Tunisia, love you all.
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!
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
I just learned about cycloids for the first time yesterday and today I get this amazing video. Crazy coincidence.
They're always listening! lol
TH-cam is everywhere 😅
You probably searched for something similar on Google and since Google and TH-cam are both connected, it could be that the TH-cam algorithm reacted to your Google search (if you're logged into TH-cam with your gmail account).
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 TH-cam, 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 TH-cam impact on you, it’s mostly nonsensical babble. 😊
@@kirkhamandy No problem, all the best to you. 🙏🏼
Be Passionately Curious Learner..
This is why I love Learning Physics...
Great man.
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.
best nature sciences channel on youtube. I love how you always make your videos accessible to casually curious as well as seriously curious.
This guy answering my questions those I never thought
What's really amazing is how simple that equation is!
Watching from the Philippines🇵🇭
He just has an incredible amount of original material. He must have a team that helps with planning. 🤯
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.
Why this channel is so underrated, must support this channel
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 th-cam.com/video/skvnj67YGmw/w-d-xo.html
@@bbbbbbbbbbb-k2w That was very kind of you.
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
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?
PLS THE WAY U EXPLAIN CONCEPTS IS JUST FIREEEEEEEEE
"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.
I really appreciate the additional information regarding the word tautochrone. I was familiar with the term brachistochrone, and am happy to learn something new.
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.
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
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.
th-cam.com/video/Cld0p3a43fU/w-d-xo.html
That's the clearest video on that subject I've ever seen.
This channel needs more subscribers Come On people!!
i always watch his videos at 2x speed, saves a lot of my time.
When he said 'Galileo', my brain automatically continued the lyrics from Bohemian Rhapsody😂
“A racetrack where nobody wins”
Me: “haha, ah yes, life”
Oh I love this, Adam Savage made a track too
Its an always pleasure to watch these videos how short they may be.
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*
Your content never ceases to impress 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
Your shorts channel is actually so good. Great job!
HAPPY 4TH JULY.
I'm really impressed with this video.
Thanks Mr Action.
I've studied it in my 9th standard 👍🏽👍🏽
yo where are u from.........which school man sounds super interesting..........
@@srishailspujar6278 th-cam.com/video/Nt14bHn1my0/w-d-xo.html
What's cool about the cycloid pendulum is it's actually a pendulum of variable length. As the string hugs the edge of the curve the length of the pendulum decreases, increasing the effective frequency at high amplitudes. As the pendulum swings down and the string unwraps from the curve, the length of the pendulum increases, decreasing the effective frequency at low amplitude. This perfectly compensates for the frequency vs amplitude relationship it so that the frequency becomes constant. Very cool!
Can't imagine my day without listening to
" *Hey everyone, today I'm gonna show you----------* "
❤️❤️❤️
This channel is flourishing so brilliantly.
Videos are amazing thank you for educating me!!
That trick on a rolecoster would be pretty scarry.
This is the track they use in kids movies so everyone wins
shoutout to this man, he taught me more than all my teachers combined......
This is the best channel on TH-cam. He's so cool.
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 th-cam.com/video/Nt14bHn1my0/w-d-xo.html
I love learning about stuff that I would not even contemplate. So cool!
EARLY PUBG PLAYERS WILL REMEMBER THIS!
I don't understand why anybody over the age of heck probably 14 would need to see this video it is one of the most easy concepts to understand and demonstrate throughout all of the sciences
"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🤣🤣
Thank you Huygens for inventing literally everything interesting!
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
I thank you so much for helping me visualise something that made me feel confused prior!!! 💗💗☺
V sauce and Adam Savage already did this curve
Your videos are making me so curious to know the answers to questions I never had lol
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
Anyone remember the brachistachrone video from Vsause? Yeah. Love these videos!
Then why aren’t roads made out of cycloids
Because most cars aren’t powered by gravity.
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
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.
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it's nice to see someone enjoying physics experiments
Curve? CURVE DOESN'T EXIST, EARTH IS FLAT.
joke alert
😂🌏
Haha
I have been blown away 💥
❤️👍
You Should make a book with all the Physics and effects!
In Brachistochrone curve
If we drop a ball then it should take infinite amount of time to settle down in the centre
This one blew my mind. Very cool.
Great video! I remember Michael on Vsauce cooperating with Adam from mythbusters to create a track according to the brachistochrone curve. Really fascinating subject.
I wish I had TEACHER like you in my SCHOOL 😄
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
Very interesting...thanks- you explain very well!
After much consideration I have concluded that you have a huge intellect.
Love your stuff action lab!
Great demo. Thanks
Physicist: the shortest distance between two points is a straight line
Action Lab: let me show you my tautochrone curve, pleb
That was incredible, I actually really learned something
Darn it, your videos are addictive 😭😭
Instant Subscriber! Now you got me looking for a waterpark that employs the cycloid into its rides!
I love this channel a whole lot
I like this new video style so much better
Interesting stuff. Please keep up the good work.
this guy needs more views. He covers more topics in quick presentations, but still lags behind Action Lab, IDK
Why is this so much more fascinating as an adult
We love your videos! Thank you!!!
Started watching the videos for the crazy cool stuff
Now I’m getting educated and enjoying it haha
3:22 wow, it was so stunning!!!!
I love this! Physics & geometry.