you know, they say, "As the angle gets less, the wobbling rate gets bigger" so, could we state that when it's laying flat on the table it's wobbling at unseeable and unmeasurable rates? :p
friction results in flattening the system and making it wobble less so the wobble is approaching 0, and in the non perfect reality approaching 0 actually approaches 0 quite fast
@@chaitanyabatra6952 actually they travel in ALL directions add heat and you can setup an organized direction for the majority of atoms ... making the statement that they are traveling extremely fast beyond rates we can currently measure accurate also the lab setup also proves main stream science wrong on perpetual motion ... as long as their is power to provide the air assist and nothing else is added then it is perpetual motion because perpetual means with no outside force added ... so the rig with it's grid power source and air compressor venting becomes a perpetual motion device in a laboratory setting proving that perpetual motion IS possible and main stream science WRONG on the subject
Math Machine I did some maths. I assumed the disc is of uniform distribution, there's no rolling friction, and there's no air resistance. Under these conditions, I believe the disc should remain at a constant angle from the horizontal. The rate at which the disc spins around the vertical axis is equal to √(6g(2rcos(θ)-hsin(θ))/(sin(θ)((3r²+4h²)cos(θ)+6hrsin(θ)))), where h is the thickness of the disk. Assuming the height is small compared to the radius, this leads to a rotation speed of 2√(g/(rsin(θ))), and assuming θ is small, this gives your approximation of 2√(g/(rθ)). In addition, the rate of rotation of the dot placed on the disc is equal to the rotation speed around the vertical axis, multiplied by cos(θ). A small note, according to the formula I provided, the rate of rotation when θ=π is √(g/r). Technically, the disc could rotate at whatever speed it wants at this angle, as it's technically in equilibrium. However, if the angle were slightly below π, it would need to have a rotational speed of about √(g/R) in order for it to not fall into either the vertical position or towards the ground (depending on how stable the θ=π equilibrium is).
I have no intention to ever replicate anything Matt does. nor do I really have any understanding (all although I nearly bought 72 pencils the other day).... so how is it that I find his videos so entertaining? LOVE IT. thanks Mr maths man.
Please make a video showing why the best ratio of width to height of an Euler disk is around 6 to 1. I would love to know why this ratio is often considered the best 😀
I think 6:1 might depend on the composition of the object... Depending on the material that is used; its density, its surface texture {smoothness or roughness}, the amount of friction that it applies, and other properties that can be leading factors this ratio could change.
because it is easily divisible into 360 degrees ... and relates directly to PI ...and the extra distance traveled by the point on the disk as it travels the circumference of the rotation ...
Anyone else see the dunking bird in the background to the right? I love those things. Always something interesting to discover in Matt's videos. I wish I could get him to come to a convention I'm an owner of called Farpoint. He'd be a great science/technology/math guest!
H: I got a blank disk. The reason I like my blank disk- M: It's got- H: It makes it nice and easy t- M: easy to draw a circle. H: -draw a circle on it. M: yeah. H: And the idea is, that, so this little dot here, when its wobbling like this M: yeah H: you can see that dot- M: Yeah! H: is- M: that that H: tracing out a smaller circle. M: Yes. H: so that smaller circle, is where the edge of the disc is following that. M: yeah H: so the dot has moved from there- M: to there! H: to there. M: okay. H: lets call that angle theta looks like this scene took 10 tries to do, but STFU MATT AND LET HUGH TALK Source: 7:33
I love this. Building a contraption just to figure out why a toy does what it does because it interests you. This is the type of stuff a kid would do that for some reason tends to be discouraged when you get older for nothing other than the fact that you are "too old" for that nonsense.
I love this video! BTW, I noticed that here is the difference between maths and Engineering: 9:54 and 11:31 I personally prefer engineering but I realize that they both are beautiful in their own ways.
Really enjoyable video - And its nice to see even Matt can end up looking like a schoolboy with a teacher even after years of Stand Up and presentations on mathematics. Makes the rest of us feel a little bit better :) Thanks guys
This is the reason that the guys that know sh*t don't whine. They enjoy the fact they could be wrong, and revel in the fact they could be right. Having a conversation on your own level, be it mud pies. machinery or quantum physics is exciting for all involved. There's some human distraction from this perfect scenario however - it's not often you hear of two or more people discovering things, each will go about it their own way, which is even better - till some guy who is out of sight comes from their research and scoops it all up and makes something new.... it's all awesome. Gotta love it. I'm as thick as pig sh*t but I love trying my own dumb ass ways, fumbling around in my shed or on paper. I get giggles when I meet someone who has been through the same neanderthalic methods as myself and there's some unity. Oh, I rambled, sorry. Have a nice day :)
+Cyral Yeah so cute right! Especialy when he get proud of his demontration of the formula at 9:07 he's all like "look at me professor i'm a good one!" And +Neffers I enjoyed your rambling. :)
+Santiago Picco true, but in a vacuum chamber the only vibrating medium would be the mirror. Maybe it would result in better longevity. But one more complication occurs: how do we spin the disk in the first place? lol
First time I have seen the Euler discs. I often spin cups and bottles but I never knew that the speed-up effect has a name. RUclips is better than university.
This is so cool - I had my cambridge interview with Hugh Hunt in that very room, a couple of months after getting my calculator signed by Matt at a talk
I think you and Brady should introduce Hugh to Cliff Stoll. They'd get on like a house on fire, I feel. Could be the start of a new science RUclips duo in fact!
It's a wonder I got interested in math. Every single math teacher I ever had absolutely STUNK. I ended up totally pissing off my algebra teachers by reading books in class because they sucked so bad, but passed because I taught myself using a programmed algebra system.
For measuring the angle on his air assisted rig, could it be filmed with a high speed camera and a series of angles marked in the background (similar to a protractor) and then choose the frame from the footage that has the plane of the disc perpendicular to the camera? That way you get a still image with the angle on it, and can get a more exact measurement than using the rubber finger thing and stopping when it looks close enough.
The most stairs descended by a slinky is 30 and was achieved by Marty Jopson and Hugh Hunt (both UK) on The One Show in Cambridge, UK, on 18 February 2014.
6:44 RealCalc in RPN mode, opted for inverse over percent (who needs a percent button anyway) and 4-stack. :-D That's *exactly* how I like my Android calculator app. %-)
If you substituted a high-polished tungsten circular disc with an elliptical cross-section, your air-blown contraption would make for a brilliant movie prop involving a time travel engine.
Love that final sound, like a little engine lol Another interesting thing on that you could see who was going to win, because there was a circle of light reflecting from both disks when the camera was equidistant from them, and Matts circle was larger than Hughs (higher angle) lol. Interesting experiment.
Question of the hour: Given an initial angle and rotation rate, coefficient of friction, and disk weight and geometry, how long does spin down take? Dimensional analysis can suggest that the time is proportional to the square root of (r/g), where 'r' is the disk radius and 'g' is the acceleration due to gravity. … I'll leave the rest as an exercise for the reader. (-:
Great video. So I’m not good with math and formulas, but I am very curious. I have seen demonstrations where dropping a magnet inside of a copper tube will generate some resistance to the force of gravity. I am assuming it is creating a minor electrical charge somehow. What happens if you create an Euler’s disk out of neodymium magnet material, and then put that spinning disk, into a copper framework, or tube with the mirror on the bottom? Would the movement of the disc create an electrical charge? Magnetic field movement to fixed copper element? And what effects would that have on the disk? Would the spinning disc potentially levitate still spinning as the oscillating movement matched the forces of gravity? Possibly eliminating most if not all friction? Off to the net to see if anyone has tried this.
I have the exact same Euler disk that you guys raced with at the end and I spun mine at the same time as your race. Mine lasted about 27 seconds longer than either of yours.
I was genuinely surprised that Matt let the video of the spinning disks complete. I just knew he would cut it short and leave me hanging. I wouldn't have been able to do ANYTHING for the rest of the day if that was the case. Other noteworthy parts: Matt spins his Euler disk in the opposite direction because he's from Australia ;)And at 10:12 "I love a good plot."
I'd be interested to see how long a disc spins for a given angle. Will doubling the angle double the time of the spin? or is it analagous to how fidget spinners require exponentially more force to double the time they spin?
Shouldn't you incorporate the density of the disk into the formula? I expect it would slot in next to (or incorporate and replace) the gravity constant?
Follow up: how would a variably-dense disk (or a ring) affect the motion? Would the system just behave as if the disk were uniformly the average density?
Anyone notice how the light reflecting off of the Euler disks at the end, as they started to oscillate faster and faster, appeared to follow a circular path. Does that have to do with the combination of the spinning of the Euler disk and the wobbling?
*_Matt & Guest_*_ Play with a thing and then do some working out_ should totally be a regular series.
This is the second episode, Matt & Hugh play with a Brick and derive Centripetal is the first.
The sound at the end of the spin is so satisfying.
ikr
Sounded like it was ready for a wheelie.
It recalls the ZWIP! at the end of the black hole merger detected by LIGO, which was incredibly satisfying for other reasons.
Entering hyperspace :D
Yeaaaah
LOL "finally, something named after Euler" "he's nearly forgotten" xD
and people say mathematicians have no sense of humor
Euler who? Never heard of this guy. Mathsy, was he?
+Asthmen he is even has a number number named after him he also discovered that e^ipi=-1
that's the joke, though, Milos lol he has a LOT of stuff named for him.
Vrixton Phillips i know i was just answering Asthmen
+phthisicy
thats the joke...
I really hope this is a long-running series just so I can see that intro again.
+
+
++
+++
+++++
Matt is one of my favorite disk jockeys.
Yay! This series is good, & I am very very happy that it's actually a series now :)
"Should we have a race? 😁😁 I love you Matt.
" You lost this.
Now it's official: Matt is racist.
He was always suspicious... always trying to find final solutions.
I see what you did there
facepalm...
8:44 Aw yeah dubstep!
underrated comment right here
LOL :)
Hugh: that's the wowowowowo right?
Matt: roro yeyeye
Actually he said "wowowowo _rate_" ;-)
woubwoubwoubwoub... get it right you failures of dubstep... ( ͡° ͜ʖ ͡°)
As to overengineering it, he can still add a stroboscope to it.
:D
you know, they say, "As the angle gets less, the wobbling rate gets bigger"
so, could we state that when it's laying flat on the table it's wobbling at unseeable and unmeasurable rates? :p
If it wasn't for friction, yes.
But it is? Its atoms are!
@@TheAlison1456 come on it's atoms are always in motion but their net motion is brownian not a travelling oscillatory wave just about y axis
friction results in flattening the system and making it wobble less so the wobble is approaching 0, and in the non perfect reality approaching 0 actually approaches 0 quite fast
@@chaitanyabatra6952 actually they travel in ALL directions add heat and you can setup an organized direction for the majority of atoms ... making the statement that they are traveling extremely fast beyond rates we can currently measure accurate
also the lab setup also proves main stream science wrong on perpetual motion ... as long as their is power to provide the air assist and nothing else is added then it is perpetual motion because perpetual means with no outside force added ... so the rig with it's grid power source and air compressor venting becomes a perpetual motion device in a laboratory setting proving that perpetual motion IS possible and main stream science WRONG on the subject
Math Machine
I did some maths. I assumed the disc is of uniform distribution, there's no rolling friction, and there's no air resistance. Under these conditions, I believe the disc should remain at a constant angle from the horizontal.
The rate at which the disc spins around the vertical axis is equal to √(6g(2rcos(θ)-hsin(θ))/(sin(θ)((3r²+4h²)cos(θ)+6hrsin(θ)))), where h is the thickness of the disk.
Assuming the height is small compared to the radius, this leads to a rotation speed of 2√(g/(rsin(θ))), and assuming θ is small, this gives your approximation of 2√(g/(rθ)).
In addition, the rate of rotation of the dot placed on the disc is equal to the rotation speed around the vertical axis, multiplied by cos(θ).
A small note, according to the formula I provided, the rate of rotation when θ=π is √(g/r). Technically, the disc could rotate at whatever speed it wants at this angle, as it's technically in equilibrium. However, if the angle were slightly below π, it would need to have a rotational speed of about √(g/R) in order for it to not fall into either the vertical position or towards the ground (depending on how stable the θ=π equilibrium is).
I have no intention to ever replicate anything Matt does. nor do I really have any understanding (all although I nearly bought 72 pencils the other day).... so how is it that I find his videos so entertaining? LOVE IT. thanks Mr maths man.
This was adorable to see Matt so candid as he works through a problem
Please make a video showing why the best ratio of width to height of an Euler disk is around 6 to 1. I would love to know why this ratio is often considered the best 😀
idk about most of this but well the ratio of circumference to radius is also around 6 to 1. (2π : 1)
So there's that 😏
I think 6:1 might depend on the composition of the object... Depending on the material that is used; its density, its surface texture {smoothness or roughness}, the amount of friction that it applies, and other properties that can be leading factors this ratio could change.
because it is easily divisible into 360 degrees ... and relates directly to PI ...and the extra distance traveled by the point on the disk as it travels the circumference of the rotation ...
Anyone else see the dunking bird in the background to the right? I love those things. Always something interesting to discover in Matt's videos. I wish I could get him to come to a convention I'm an owner of called Farpoint. He'd be a great science/technology/math guest!
I love it when people talk about things that were named after Leonard Euler :)
Leonhard? I thought the disk was named after the great Gilbert Euler.
+Mike Williams You sure it wasn't Houston Euler?
I thought it was Ruler Euler da dum! Someone had to do it lol
Euler has a first name? Who knew? lol
Did that h get autocorrected out?
Super Interesting, but, minus 1point for using white paper
+MichaelKingsfordGray Minus one point to you for implying that Linguistics is not a science.
What is wrong with using white paper, by the way?
He's an engineer, he knows assignments aren't accepted unless they are on engineering paper.
... but this isn't numberphile, and I thought they had copyrighted the use of brown paper
As long as they don't get crayon on the walls it's fine. - Mother dearest
Or Shaprie bleeding thru onto the table.
at 15:50 i love the circular patterns of light reflections on the discs as they spin/wobble.
H: I got a blank disk. The reason I like my blank disk-
M: It's got-
H: It makes it nice and easy t-
M: easy to draw a circle.
H: -draw a circle on it.
M: yeah.
H: And the idea is, that, so this little dot here, when its wobbling like this
M: yeah
H: you can see that dot-
M: Yeah!
H: is-
M: that that
H: tracing out a smaller circle.
M: Yes.
H: so that smaller circle, is where the edge of the disc is following that.
M: yeah
H: so the dot has moved from there-
M: to there!
H: to there.
M: okay.
H: lets call that angle theta
looks like this scene took 10 tries to do, but STFU MATT AND LET HUGH TALK
Source: 7:33
I think it's acceptable as he's British and I have found its more common to speak over eachother/finish the sentences.
I think Matt was just so happy to have a good conversation about Euler disks and maths and he couldn't hold himself back.
they are so romantic, finishing each other's sentences.
btw they called the angle beta cause theta was already tacken (last line of convo)
I don't think he's being rude, he's just saying 'yeah' because Hugh's saying what was already in Matt's first video
+PROTIP atTheDisco well they did play with a thing and then did some working out
I love this. Building a contraption just to figure out why a toy does what it does because it interests you. This is the type of stuff a kid would do that for some reason tends to be discouraged when you get older for nothing other than the fact that you are "too old" for that nonsense.
I didn't think it was possible for this one to be funnier than the first on you did.
I love engineers. I really do.
I love this video!
BTW, I noticed that here is the difference between maths and Engineering: 9:54 and 11:31
I personally prefer engineering but I realize that they both are beautiful in their own ways.
Really enjoyable video - And its nice to see even Matt can end up looking like a schoolboy with a teacher even after years of Stand Up and presentations on mathematics. Makes the rest of us feel a little bit better :) Thanks guys
That, right at the end, was an absolutely beautiful sound.
Good channel Matt! So glad it's there to show a little bit to the world that math is fun.
It almost looks like you were learning, looked like a kid for a second!
This is the reason that the guys that know sh*t don't whine.
They enjoy the fact they could be wrong, and revel in the fact they could be right. Having a conversation on your own level, be it mud pies. machinery or quantum physics is exciting for all involved. There's some human distraction from this perfect scenario however - it's not often you hear of two or more people discovering things, each will go about it their own way, which is even better - till some guy who is out of sight comes from their research and scoops it all up and makes something new.... it's all awesome. Gotta love it.
I'm as thick as pig sh*t but I love trying my own dumb ass ways, fumbling around in my shed or on paper. I get giggles when I meet someone who has been through the same neanderthalic methods as myself and there's some unity.
Oh, I rambled, sorry. Have a nice day :)
+Cyral Yeah so cute right! Especialy when he get proud of his demontration of the formula at 9:07 he's all like "look at me professor i'm a good one!"
And +Neffers I enjoyed your rambling. :)
Good ramble ;)
+Neffers TL;DR.
Matt: This time, I have brought something
Hugh: *tries to hold in a smile*
These guys are so cute! A really enjoy watching them nerd out with each other.
I wonder how much air resistance affects the slow down. Vacuum chamber experiment maybe??
+Adam Sowder I meant the regular euler disk, not this setup
Probably you lose more energy due to vibrations (sound) than due to air resistance.
+Santiago Picco true, but in a vacuum chamber the only vibrating medium would be the mirror. Maybe it would result in better longevity. But one more complication occurs: how do we spin the disk in the first place? lol
the way hugh releases it is probably fairly easy to simulate with a sort of claw rig to drop it in a precise way
+EffingTank yeah maybe
First time I have seen the Euler discs. I often spin cups and bottles but I never knew that the speed-up effect has a name. RUclips is better than university.
"the euler disk that I did a video on recently" RECENTLY? have you been taveling in speeds close to the speed of light?
I mean, It's the internet, 5 months is 17 quadrillion (in base universe) years
+Pedro Cardoso XD
indeed
that moment you think content is uploaded right after its filmed.
certainly one of the best videos on youtube
11:33 - Matt reveals his inner Plato
Matt is most well-known for his ground-breaking work on parker squares.
INTERVIEW IN PROGRESS
PLEASE WAIT TO BE CALLED
I seriously was at the edge of my seat with that race
Wow. That's even more interesting than the regular format!
This is so cool - I had my cambridge interview with Hugh Hunt in that very room, a couple of months after getting my calculator signed by Matt at a talk
That sounds at the end is amazing.
I think you and Brady should introduce Hugh to Cliff Stoll. They'd get on like a house on fire, I feel. Could be the start of a new science RUclips duo in fact!
i am as excited about matt's videos as matt is when meeting hugh
When you said, you were djs I couldn't help but smile.
(1/cos theta)-1 would be a secant graph shifted down by 1 in the y axis. So it would start at (0,0) and curve upwards to infinity at 90 degrees
The most exciting footage ever uploaded to RUclips! :-)
Two guys spinning their Euler Disks... this is nerdtastic! love it
That was an amazing video!!! I love that he had an experiment set up for this.
that noise at the end is very satisfying!
Love the Matt and Hugh vids. Great format, great contenr, great fun too
10:28 This is one of the reasons we need formula sheets in exams at uni. Even good mathematicians like these two can't remember everything!
That last bit is so satisfying.
Great Ending!
It's a wonder I got interested in math. Every single math teacher I ever had absolutely STUNK. I ended up totally pissing off my algebra teachers by reading books in class because they sucked so bad, but passed because I taught myself using a programmed algebra system.
Spinoff was the greatest thing I've seen on RUclips Lmao great job guys
"Epic Battles in Euler Disk History"
Do us all a favour and put these two guys on prime time tv
great episode... looked like lots of fun
I love the wobble frequency catastrophe, going from high to suddenly zero.
I love the drinking bird on the right just chilling there for the whole video (except the experiment and zoom ins)
For measuring the angle on his air assisted rig, could it be filmed with a high speed camera and a series of angles marked in the background (similar to a protractor) and then choose the frame from the footage that has the plane of the disc perpendicular to the camera?
That way you get a still image with the angle on it, and can get a more exact measurement than using the rubber finger thing and stopping when it looks close enough.
For anyone interested, here's the graph of (1/cosθ - 1).
prnt.sc/etil7y
Matt is so cute, you can see pure happiness in his eyes throughout the video :)
How about a video on the mathematics involved in cancelling out annoying background noise?
There's not too much math in there, just an subtraction of the pure noise signal.
The graph (drawn on the paper) was supposed to go from y=1 at x=0 to y=positive infinity at x=pi/2 if you're considering only 1/cosx where 0
There is a Guinnes World Record certificate in the background! I would love to see a video on what Hugh got it for
The most stairs descended by a slinky is 30 and was achieved by Marty Jopson and Hugh Hunt (both UK) on The One Show in Cambridge, UK, on 18 February 2014.
9:05 "I worked it out myself!" *Puffs out chest proudly*
DAYUM. This is the coolest thing ever
It's a terrific formula. Tremendous.
I love to see you both together
Excellent video had great fun watching some early stuff lol
2:20 The clock on the monitor in the background says 11:11.
+1 for timing.
"It's not ridiculous - it's just what we do." LOL
6:44 RealCalc in RPN mode, opted for inverse over percent (who needs a percent button anyway) and 4-stack. :-D
That's *exactly* how I like my Android calculator app. %-)
This guy is super funny! I would love to have a teacher like him!
By far the best intro in RUclips.
Rishabh Dhiman Check out Despacito.
Is there an episode discussing what factors make an Euler Disk spin longer? I've wondered this since I was a little kid spinning coins.
15:34
funny to see when omega (nearly) matches the framerate of the camera :D
i did not expect a second video
I bet when Matt comes into the office, Hugh secretly dies inside and says "Oh not him again"...
If you substituted a high-polished tungsten circular disc with an elliptical cross-section, your air-blown contraption would make for a brilliant movie prop involving a time travel engine.
Is that Hugh Hunt or Mark Williams? Anyway, more from the pair of you, please. Most entertaining and educational.
Love that final sound, like a little engine lol Another interesting thing on that you could see who was going to win, because there was a circle of light reflecting from both disks when the camera was equidistant from them, and Matts circle was larger than Hughs (higher angle) lol. Interesting experiment.
Question of the hour: Given an initial angle and rotation rate, coefficient of friction, and disk weight and geometry, how long does spin down take? Dimensional analysis can suggest that the time is proportional to the square root of (r/g), where 'r' is the disk radius and 'g' is the acceleration due to gravity. … I'll leave the rest as an exercise for the reader. (-:
Discovered a formula, only to find that it's been known for centuries? That's a real Parker square you pulled, Matt Parker.
how is the wobble rate calculated. where was it derived? 13:19
Aside from the maths, what I love about this video is the drinking bird in the room.
Lovely 4x4 in the background
It's like watching young Matt & old Matt
The race was oddly exciting!
Great video. So I’m not good with math and formulas, but I am very curious. I have seen demonstrations where dropping a magnet inside of a copper tube will generate some resistance to the force of gravity. I am assuming it is creating a minor electrical charge somehow. What happens if you create an Euler’s disk out of neodymium magnet material, and then put that spinning disk, into a copper framework, or tube with the mirror on the bottom? Would the movement of the disc create an electrical charge? Magnetic field movement to fixed copper element? And what effects would that have on the disk? Would the spinning disc potentially levitate still spinning as the oscillating movement matched the forces of gravity? Possibly eliminating most if not all friction? Off to the net to see if anyone has tried this.
I have the exact same Euler disk that you guys raced with at the end and I spun mine at the same time as your race. Mine lasted about 27 seconds longer than either of yours.
Hey Matt, what about the diameter of the 2 circles, can you deduce the disks height and thus all the information like beta dot, theta, and omega
I was genuinely surprised that Matt let the video of the spinning disks complete. I just knew he would cut it short and leave me hanging. I wouldn't have been able to do ANYTHING for the rest of the day if that was the case. Other noteworthy parts: Matt spins his Euler disk in the opposite direction because he's from Australia ;)And at 10:12 "I love a good plot."
Hugh's pun game is strong
11:40 "The maths is correct. Yeah, reality, eh, real world..." LOLOLOL
I'd be interested to see how long a disc spins for a given angle. Will doubling the angle double the time of the spin? or is it analagous to how fidget spinners require exponentially more force to double the time they spin?
Would the rate change if a disc made of a material with a higher coefficient of friction to metal was used?
Shouldn't you incorporate the density of the disk into the formula?
I expect it would slot in next to (or incorporate and replace) the gravity constant?
Follow up: how would a variably-dense disk (or a ring) affect the motion? Would the system just behave as if the disk were uniformly the average density?
Matt gets roasted by a physician for 16:07 minutes straight
would sympathetic resonance in the table cause the two discs to couple over time?
When you use headphones and you suddenly enjoy the silence at 7:15
Anyone notice how the light reflecting off of the Euler disks at the end, as they started to oscillate faster and faster, appeared to follow a circular path. Does that have to do with the combination of the spinning of the Euler disk and the wobbling?