This is an interesting video. Having studied integrated circuit design, we use a similar design scheme when designing digital logic circuits. In order to drive a large gate with a small gate quickly, you need intermediate "buffer" gates with increasing size in between. The principles is the exact same as these dominoes.
No. But only a rough match of densities is good enough at a ratio of 1.5. In a really detailed analysis, all these factors need to be taken into account. It depends if you want a sure-fire demonstration that always works, or one that pushes the limits. 1.5 is pretty much sure-fire.
I don't think it's exponential. Exponential is x^n This is x^1.5 , As a coefficient for the size of the first domino. Exponential isn't just getting bigger. Maybe I'm wrong. Edit:Pretty sure i am wrong. I think it's 1.5^x
Weight does matter. Ideally, all the dominos would be made of the same stuff so the weight would scale with the volume. In these dominos, we cheated a bit and made the smaller ones out of aluminum and larger ones out of (solid) plywood. Very small wood ones are too light.
In other news, a new terror group has started stacking ominous-looking numbered slabs of wood in ascending size curiously near the One World Trade Centre.
Hahahah, the republicans are lobbying against the placement of the slabs calling them a public nuisance, but the democrats say "What's the harm? They are just practicing their religious beliefs!"
@MaxXimumPain Each domino is 1.5x the *size* of the previous one. That is, it is 1.5X higher, 1.5X wider and 1.5X thicker. So the *mass* ratio is (1.5)^3 = 3.375. Each successive domino *weighs* more than three times the previous one. You can look up the original paper by Lorne Whitehead to get the full calculation.
@gimkilo57 It doesn't create a bunch of energy, the energy used to push down the last domino was the gravitational potential energy from the preceding dominoes.
He clearly stated that the first domino was 5 millimeters high, but - as domino324 said - he never locked down the size increasing to be exactly 150%. So if you change the other parameter (increasing size) instead of the size of the first domino, all you gotta do is tweak the numbers a tiny little bit. Even adding as little as 0,05 to the ratio gets you reasonably close to a meter (961,5 mm).
@zachgamer77 also due to the fact that the dominoes take energy to put upright, that is potential energy that is stored for later (i.e when the chain reaction begins)
@OKMUNWURX No: the actual size ratio can be anything you like, as long as it is big enough. These were made with a ratio of 1.5. 1.414 = sqrt(2) would probably also work.
The difference in the time that it took for one domino to hit the next is interesting. It got progressively longer. I wonder how long it would take for all the dominoes to fall, right to the the Empire State Building sized one. There must be a mathematical equation or something.
+Celtic Saint Indeed. It scales like sqrt(H/g) where H is the height of a domino and g = 9.8 m/s^2 is the acceleration due to gravity. As H increases by a constant factor, so the time increases by the square root of that factor.
@FerroMancer That would be cute, but there is nothing magic about the ratio. Somewhat less than 1.5 will also work. It depends on details like the friction between the dominos.
Of course "energy is conserved". What I meant by *available* energy was the stored energy of each successive domino. The gravitational potential energy of a domino does nothing until that domino gets hit by the one before it. Then the stored energy is released to be converted into kinetic energy as it falls. Some little bit gets used to push over the next domino and most of it is dissipated into heat when the domino hits the floor and stops moving (an inelastic collision).
it's fairly easy what happens. the first domino, with low mass. gets a certain amount of kinetic energy, which is transferred to the next domino as it hits it. this amount can, in the easiest way, be described with Ekin = 0.5*mass*(velocity^2). this kinetic energy stays the same, so in order to maintain the same amount of energy, when the mass is getting bigger, the velocity has to become lower, as you can see ;)
@TheRimDoctor every object stores gravitational potential energy, which must be released before it does anything. when a domino falls it releases that energy. the first domino causes the energy in the next domino to be released, and the energy in that one causes the energy in the one after that to be released. the energy from the first one is terribly small compared with the last block, and it can't do anything on it's own, but it triggers the release of the potential energy in the larger blocks
@LudicrousTachyon That's an interesting idea. A nanoscale domino would stick to the one ahead of it by the van der Waals force. It would also have trouble with Brownian motion! At the other end of the scale, really large dominos have trouble staying together as they topple. They need to be extremely strong, or they break while falling over. A domino the size of a building would fall almost straight down, like demolished buildings do. See the related video by Gerrydomino.
This analysis is too simple. As the domino topples, it releases gravitational potential energy and coverts it into kinetic energy. This potential energy was stored when the domino was set upright. There is also significant energy dissipated by friction as the smaller domino slides down the front surface of the next one. See arxiv.org/abs/physics/0401018 for a sophisticated discussion.
I don't think there is a standard size. One of the dominos in this set is about the size you would expect for a normal domino. All the others are scaled in all dimensions by powers of 1.5 from that one. The exact dimensions don't matter much: it will work anyway.
The ratio has to be a function of the thickness via this thought experiment: an infinitely thick domino will not topple with any sufficiently large ratio and an infinitely thin domino will topple with with any small ratio.
You don't get it? This thing is amazing!, a small actioon from you can start to change the world. A small action can trigger amazing changes. Those 30 people (like) and you didn't understand.
@@polytrelaras1 Why are you so angry. You wrote some days ago so you didn't see the commentaries i saw , they are not here anymore, and "no te des por aludido", (translate from Spanish cause I don't know how)
The smallest domino can theoretically knock over a 15 meter high domino, assuming the big one is unstable enough (meaning its center of mass is close enough to the edge of the base it is standing on). There is nothing special about the number 1.5 here. It could have been 2 or 3 as well.
Yes, when a domino topples over, its kinetic energy goes from 0 to some nonzero value! But the *total* energy (kinetic+potential+...) is conserved, as it always is.
Hello, I teach mathematics in France, i'd like to use your video for my students, do you mind if i do this ? I'd like to thank you for this very good video, it really shows how maths and physics are not only abstrac concepts. Very usefull for teachers !
you need to put the blocks upright, so you put in energy to start with. the energy is released by tipping the first domino, just like simply striking one match can create a blazing inferno.
Isnt the main reason a domino can knock a larger one over, is because it also has the weight of the previous domino's weight, combining with its own, to knock it down?
Though buildings are not designed for that kind of extreme situations I think you would need a bigger block to knock it over because it is attached to the ground.
For the system the available energy remains constant... alot of it is converted to heat due to friction as you progress through it, but nothing is growing "bigger" and gravitational potential energy is all relative; I believe you failed to recognize the moment of inertia each domino which would help to explain the relative decrease in velocity of each domino...
Yeah, because setting up dominoes next to a building wouldn't be suspicious. Also, all of these dominoes in this video have corresponding weight/mass (1 1/2 times larger than the previous) So, even if you had dominoes(say like these) It wouldn't necessarily work on a building. (not to mention how the building is secured deep within the ground.
No... This is a physical representation of the Domino Effect (one thing causes a bigger thing to happen, which causes a bigger thing to happen, which causes a bigger thing to happen, and so on and so forth). The butterfly effect is more on the lines of connecting everything, regardless of size and/or importance of the event happening. Meaning, one thing cause another seemingly unrelated thing to happen, which in turn cause another seemingly unrelated thing to happen. Because of this it is almost impossible to find a real life example of the butterfly effect.
This is a perfect example of how a very small event can cause dramatical bigger consequences. So in fact the dynamic behavior of this system is a Chaotic behavior! Well done! Are u an engineer?
>physics video >not using SI units If im seeing this right, this is what is happening: The first domino is knocked out of equilibrium, it converts GPE to KE, gaining enough energy from gravity to be able to knock the next domino out of equilibirum. It's interesting I suppose, but doesnt seem to be useful, unless you can find some way to reset the dominoes and use the angular acceleration with a generator. Which will likely be inefficient. Still, had me thinking for a min or so :p.
i heard you need 18 dominoes to bring down a house, starting at the size of a normal domino, if you increase the size by just the perfect amount it could take down a two story house.
@zachgamer77 Each domino has potential energy in that it is upright. The energy from the previous domino needs only tip the next one so far, at which point gravity does the rest. That's why this only works for knocking things down.
@TheRimDoctor well yes, it is. what you're saying is more of a description of what happens. i was talking about the technical energy transformations that occur when each domino pushes the next. basically, two ways of looking at the same event :)
It has nothing to do with the golden ratio. You could, if you wanted to, build dominos with golden dimension ratios. But they would be pretty much the same as these with ratio 1.5.
This 1.5x number isn't very valuable because it depends on how thick the dominos are. Unless you're talking about the standard proportions of a domino, which I don't think there actually is.
One small change in THOUGHT can make a big difference. One small change in ACTION can make a big difference. But the FIRST one would be really really SMALL. A new transformation start on this single SECONDs! Let's go!
And this is also how relays in electronics work. If I had enough relays of varying sizes, I could use a AAA battery to controll a power grid running at 10000+ volts
1.5 X each dimension: height, width, thickness. So the mass scales up by (1.5)^3 = 3.375.
So powerful this demonstration is. It illustrates the power of compounding. Really fun to watch, thanks.
This is an interesting video. Having studied integrated circuit design, we use a similar design scheme when designing digital logic circuits. In order to drive a large gate with a small gate quickly, you need intermediate "buffer" gates with increasing size in between. The principles is the exact same as these dominoes.
Good illustration of how small action can lead to big results
One small change can make a big difference
If he had 29 dominoes, the last one would be the same size but the first one would be really really small.
0:52 boob.
tristen trevino It's boom
tristen trevino ьлолролиррррооообббррррррррпрппрртттрьььььььььььььттьлдллдлддлооороллддл
I can't not hear that now
tristen trevino e
tristen trevino HAHAHAHA LOL
No. But only a rough match of densities is good enough at a ratio of 1.5. In a really detailed analysis, all these factors need to be taken into account. It depends if you want a sure-fire demonstration that always works, or one that pushes the limits. 1.5 is pretty much sure-fire.
I love visual exponential growth demonstrations. Thank you for posting this.
I don't think it's exponential. Exponential is x^n
This is x^1.5 ,
As a coefficient for the size of the first domino.
Exponential isn't just getting bigger. Maybe I'm wrong.
Edit:Pretty sure i am wrong. I think it's 1.5^x
Weight does matter. Ideally, all the dominos would be made of the same stuff so the weight would scale with the volume. In these dominos, we cheated a bit and made the smaller ones out of aluminum and larger ones out of (solid) plywood. Very small wood ones are too light.
In other news, a new terror group has started stacking ominous-looking numbered slabs of wood in ascending size curiously near the One World Trade Centre.
Hahahah, the republicans are lobbying against the placement of the slabs calling them a public nuisance, but the democrats say "What's the harm? They are just practicing their religious beliefs!"
Oy, don't give the jew any ideas!
HaniiPuppy h
HaniiPuppy ظه٧
@MaxXimumPain Each domino is 1.5x the *size* of the previous one. That is, it is 1.5X higher, 1.5X wider and 1.5X thicker. So the *mass* ratio is (1.5)^3 = 3.375. Each successive domino *weighs* more than three times the previous one.
You can look up the original paper by Lorne Whitehead to get the full calculation.
Energy can't be created or destroyed.so how I am getting a lot of energy from spending a little bit?
When you watch one domino video and you keep watching other domino videos. Domino effect.
ikr
How Did You Know
Jeremiah Iglesias
Jeremiah Iglesias
Each new video is about 1.5 times longer than the previous one.
@Crowstew No: it does not matter.The push only needs to be big enough to make it fall over.
how i see my self in 20 years
@gimkilo57 It doesn't create a bunch of energy, the energy used to push down the last domino was the gravitational potential energy from the preceding dominoes.
00:17
00:30
if the first domino's height is 5 millimeters then
d: 1, h: 5
d: 2, h: 7.5
d: 3, h: 11.25
d: 4, h: 16.875
d: 5, h: 25.3125
d: 6, h: 37.96875
d: 7, h: 56.953125
d: 8, h: 85.429688
d: 9, h: 128.144531
d: 10, h: 192.216797
d: 11, h: 288.325195
d: 12, h: 432.487793
d: 13, h: 648.731689
domino 13's height in meters: 0.6487317
if the first domino's height is 8 millimeters then
d: 1, h: 8
d: 2, h: 12
d: 3, h: 18
d: 4, h: 27
d: 5, h: 40.5
d: 6, h: 60.75
d: 7, h: 91.125
d: 8, h: 136.6875
d: 9, h: 205.03125
d: 10, h: 307.546875
d: 11, h: 461.320313
d: 12, h: 691.980469
d: 13, h: 1037.970703
domino 13's height in meters: 1.0379707
so I guess the first domino's height is more like 8 then
videouploader1677721 actually he said "about one and a half," which in this case would seem to suggest it's more than 1.5 times, not exactly 1.5.
He clearly stated that the first domino was 5 millimeters high, but - as domino324 said - he never locked down the size increasing to be exactly 150%. So if you change the other parameter (increasing size) instead of the size of the first domino, all you gotta do is tweak the numbers a tiny little bit.
Even adding as little as 0,05 to the ratio gets you reasonably close to a meter (961,5 mm).
@zachgamer77 also due to the fact that the dominoes take energy to put upright, that is potential energy that is stored for later (i.e when the chain reaction begins)
The drop was soo loud it made your shoulders stay up for the whole video
@OKMUNWURX No: the actual size ratio can be anything you like, as long as it is big enough. These were made with a ratio of 1.5. 1.414 = sqrt(2) would probably also work.
The difference in the time that it took for one domino to hit the next is interesting. It got progressively longer. I wonder how long it would take for all the dominoes to fall, right to the the Empire State Building sized one. There must be a mathematical equation or something.
+Celtic Saint Indeed. It scales like sqrt(H/g) where H is the height of a domino and g = 9.8 m/s^2 is the acceleration due to gravity. As H increases by a constant factor, so the time increases by the square root of that factor.
+Stephen Morris Many thanks for your reply. I'll see if I can calculate the answer from that equation. Take care.
did I just gain IQ from this comment though? damn that's rare
+Celtic Saint And did you?
TriplM Not yet!
@2xchrome You have to make your own. The big ones are made of laminated particleboard and the smallest ones out of aluminum.
0:51 the shampoo bottle when i drop it
@FerroMancer That would be cute, but there is nothing magic about the ratio. Somewhat less than 1.5 will also work. It depends on details like the friction between the dominos.
I like this man.
Of course "energy is conserved". What I meant by *available* energy was the stored energy of each successive domino. The gravitational potential energy of a domino does nothing until that domino gets hit by the one before it. Then the stored energy is released to be converted into kinetic energy as it falls. Some little bit gets used to push over the next domino and most of it is dissipated into heat when the domino hits the floor and stops moving (an inelastic collision).
0:51 when you drop a spoon at home
at 3 am
it's fairly easy what happens. the first domino, with low mass. gets a certain amount of kinetic energy, which is transferred to the next domino as it hits it. this amount can, in the easiest way, be described with Ekin = 0.5*mass*(velocity^2). this kinetic energy stays the same, so in order to maintain the same amount of energy, when the mass is getting bigger, the velocity has to become lower, as you can see ;)
Well, that escalated quickly.
Literally the best sentence to describe thiss
devilnafiy old meme
@@prodgalaxyy old meme, best meme
@@fb8622AH!!! Rodney What do we do?!
I don't Know...
This is kind of a first for me!
@TheRimDoctor every object stores gravitational potential energy, which must be released before it does anything. when a domino falls it releases that energy. the first domino causes the energy in the next domino to be released, and the energy in that one causes the energy in the one after that to be released. the energy from the first one is terribly small compared with the last block, and it can't do anything on it's own, but it triggers the release of the potential energy in the larger blocks
he looks so scared as the last one drops, great facial expression though! get him 29 dominos and he'll destroy the world
@LudicrousTachyon That's an interesting idea. A nanoscale domino would stick to the one ahead of it by the van der Waals force. It would also have trouble with Brownian motion! At the other end of the scale, really large dominos have trouble staying together as they topple. They need to be extremely strong, or they break while falling over. A domino the size of a building would fall almost straight down, like demolished buildings do. See the related video by Gerrydomino.
0:51 his face when the big one landed
boom
No, it's just that the stored potential energy in the later dominoes gets converted to kinetic energy (and then friction/heat energy).
This analysis is too simple. As the domino topples, it releases gravitational potential energy and coverts it into kinetic energy. This potential energy was stored when the domino was set upright. There is also significant energy dissipated by friction as the smaller domino slides down the front surface of the next one.
See arxiv.org/abs/physics/0401018 for a sophisticated discussion.
I don't think there is a standard size. One of the dominos in this set is about the size you would expect for a normal domino. All the others are scaled in all dimensions by powers of 1.5 from that one. The exact dimensions don't matter much: it will work anyway.
THIS IS WRINKLIN' MY BRAIN.
We cheated a bit and made the smallest few dominos out of aluminum. Wooden ones were too hard to handle. The larger ones are made of particle board.
Did you compensate for the different weights due to different materials?
Probably the best quality 2009 TH-cam video
A very good visual for how chain reactions happen. WWI anyone?
Yes
The ratio has to be a function of the thickness via this thought experiment: an infinitely thick domino will not topple with any sufficiently large ratio and an infinitely thin domino will topple with with any small ratio.
So when are you going to do the 29 dominoes experiment?
You don't get it? This thing is amazing!, a small actioon from you can start to change the world. A small action can trigger amazing changes. Those 30 people (like) and you didn't understand.
Клоун херов
@@lessons-lecciones3723 Absence of humor is a sign of stupidity. YOU didn't get it
@@polytrelaras1 Why are you so angry. You wrote some days ago so you didn't see the commentaries i saw , they are not here anymore, and "no te des por aludido", (translate from Spanish cause I don't know how)
It took one small video to unleash a huge meme.
0:47 start
The smallest domino can theoretically knock over a 15 meter high domino, assuming the big one is unstable enough (meaning its center of mass is close enough to the edge of the base it is standing on). There is nothing special about the number 1.5 here. It could have been 2 or 3 as well.
If only we could harness this power!
The neutron fission chain reaction analogy in a nuclear explosive is like over 100 of those escalating dominos going off in under a microsecond.
0:47 Start the Megalovania! When your computer dies
+++
@myshufflelist maybe a little. It works for a pretty wide range of setups.
I want to see a much larger version of this
Zachary Barnett go to this link
www.whyareyoubelieveme.com or for the best graphic version, www.hahayouarepranked.com
like G.W. Bush Jr. got elected -> ... -> 9/11
Yes, when a domino topples over, its kinetic energy goes from 0 to some nonzero value! But the *total* energy (kinetic+potential+...) is conserved, as it always is.
2010: no
2011: still no
2012: nope
2013: 👎
2014: 🚫
2015: not yet
2016: not quite
2017: nah
2018: no thanks
2019: DOMINO CHAIN REACTION
Fluffy Wuffy This was first recommended to me in 2017.
@thekeyring Better watch the long version. The energy is stored when you stand up the dominos. Knocking them over releases the stored energy.
Hello, I teach mathematics in France, i'd like to use your video for my students, do you mind if i do this ? I'd like to thank you for this very good video, it really shows how maths and physics are not only abstrac concepts. Very usefull for teachers !
+Lotfi Y. Yes, you can use it. Just keep the video intact with the credits at the end!
Yeah, this is useful for physics and mathematics
I just checked out your video, keep it up and stay blessed !!!
0:52 jazz hands
you need to put the blocks upright, so you put in energy to start with. the energy is released by tipping the first domino, just like simply striking one match can create a blazing inferno.
“OW MY TOE!”
@Crusse89 I heard England (and maybe other parts of the UK) use a hybrid imperial/metric system.
0:53 BOOM
Isnt the main reason a domino can knock a larger one over, is because it also has the weight of the previous domino's weight, combining with its own, to knock it down?
0:52
Though buildings are not designed for that kind of extreme situations I think you would need a bigger block to knock it over because it is attached to the ground.
bewm
For the system the available energy remains constant... alot of it is converted to heat due to friction as you progress through it, but nothing is growing "bigger"
and gravitational potential energy is all relative; I believe you failed to recognize the moment of inertia each domino which would help to explain the relative decrease in velocity of each domino...
0:56 was that a threat? :D
Yeah, because setting up dominoes next to a building wouldn't be suspicious. Also, all of these dominoes in this video have corresponding weight/mass (1 1/2 times larger than the previous) So, even if you had dominoes(say like these) It wouldn't necessarily work on a building. (not to mention how the building is secured deep within the ground.
a physical representation of the butterfly effect
No... This is a physical representation of the Domino Effect (one thing causes a bigger thing to happen, which causes a bigger thing to happen, which causes a bigger thing to happen, and so on and so forth).
The butterfly effect is more on the lines of connecting everything, regardless of size and/or importance of the event happening. Meaning, one thing cause another seemingly unrelated thing to happen, which in turn cause another seemingly unrelated thing to happen. Because of this it is almost impossible to find a real life example of the butterfly effect.
Such an intriguing concept. I just got a lot of ideas for my match-burning fire dominos. Thank you.
Very good explained. Respect. (+)
12
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haritalar·web·tr Uğur Akgöz po
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w w w·haritalar·web·tr ıooı i
@smorris123 Potential energy, and the combination of gravity pulling the domino down, and the weight of the domino all combine. incredible really.
@zachgamer77 it takes energy to stand the dominos up its the same concept as dropping a heavy object
00:54 boom
This is a perfect example of how a very small event can cause dramatical bigger consequences. So in fact the dynamic behavior of this system is a Chaotic behavior! Well done! Are u an engineer?
@lefterismecheng It is not chaotic. It is a chain reaction. I am a physicist, not an engineer.
>physics video
>not using SI units
If im seeing this right, this is what is happening: The first domino is knocked out of equilibrium, it converts GPE to KE, gaining enough energy from gravity to be able to knock the next domino out of equilibirum. It's interesting I suppose, but doesnt seem to be useful, unless you can find some way to reset the dominoes and use the angular acceleration with a generator. Which will likely be inefficient. Still, had me thinking for a min or so :p.
@LolStudio13 Better watch the long version. The energy is stored and more and more is released.
You know you’re overweight when you’re out of breath from picking up a slab
i heard you need 18 dominoes to bring down a house, starting at the size of a normal domino, if you increase the size by just the perfect amount it could take down a two story house.
@zachgamer77 Each domino has potential energy in that it is upright. The energy from the previous domino needs only tip the next one so far, at which point gravity does the rest.
That's why this only works for knocking things down.
can i use this video in my youtube video
The little domino depicts my social awkwardness well.
I love that you took the time to figure that out...:)
@TheRimDoctor well yes, it is. what you're saying is more of a description of what happens. i was talking about the technical energy transformations that occur when each domino pushes the next. basically, two ways of looking at the same event :)
@zachgamer77
Err...It takes just one tiny push to make them lean forward, then the gravity + the mass do the rest.
what he did not say is that the 28th domino piece is only 1.5 times smaller than the empire state? Metlife building??
I suspect the Golden ratio is at play here very fascinating now to harness it.
It has nothing to do with the golden ratio. You could, if you wanted to, build dominos with golden dimension ratios. But they would be pretty much the same as these with ratio 1.5.
If the largest is as tall as the empire state building, that is impressive for a domino smaller than a penny
@Camera2Studios You have to make them yourself.
I'd be interested to see this go from the nano scale all the way up to that last block.
This 1.5x number isn't very valuable because it depends on how thick the dominos are. Unless you're talking about the standard proportions of a domino, which I don't think there actually is.
Agreed. Potential energy is the key. And energy is only transferred not created
but you use energy (potential energy) to place the domino so you wil not be able to use this as a source of energy
So, you're saying I could knock down a building starting with 29 dominoes, the first one being half a centimetre tall?
One small change in THOUGHT can make a big difference.
One small change in ACTION can make a big difference.
But the FIRST one would be really really SMALL.
A new transformation start on this single SECONDs!
Let's go!
The "food for thought" look you give at the very end of the clip is priceless! Excellent vid :)
And this is also how relays in electronics work. If I had enough relays of varying sizes, I could use a AAA battery to controll a power grid running at 10000+ volts
Hairs are very easy to split when they are seventeen meters thick.
Great video though.
thank you for this wonderful demonstration of butterfly effect, very inspiring