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CGP Grey - What Is The United Kingdom Explained

CGP Grey - What Is The United Kingdom Explained

Tingles (Member Profile)

Spinning bullet on ice (original vid)

Euler's Disk

nanrod (Member Profile)

BoneRemake says...

In reply to this comment by nanrod:
What kind of sound do fan blades make when they kiss?>> ^BoneRemake:

fuck the fans I use for white noise so I can sleep, I would rather listen to that then the osculations of the fan blades.


they dont, if they where to kiss, they would be facing each other, the blades are going in opposite directions therefore you would get a little noise and then the motors would have to overpower each other !

on the chance its a joke, whats the answer?

Euler's Disk

therealblankman says...

>> ^BoneRemake:

"Euler's Disk" is a trademark for a product manufactured and distributed by the "Damert Company" (Toysmith Group), consisting of a metal disk, a base having an upwards-facing concave mirror, and holographic, patterned magnetic stickers. One or more magnetic stickers may be attached to the top surface of the disk. The disk, when spun on the mirror, exhibits a spinning/rolling motion. Euler’s Disk has an optimized aspect ratio and precision polished, rounded edges to maximize the spinning/rolling time. A coin spun on a table, or any disc spun on a relatively flat surface, exhibits essentially the same type of motion.
A spinning/rolling disk ultimately comes to rest; and it does so quite abruptly, the final stage of motion being accompanied by a whirring sound of rapidly increasing frequency. As the disk rolls, the point P of rolling contact describes a circle that oscillates with a constant angular velocity ω. If the motion is non-dissipative, ω is constant and the motion persists forever, contrary to observation (since ω is not constant in real life situations).
In the April 20, 2000 edition of Nature, Keith Moffatt shows that viscous dissipation in the thin layer of air between the disk and the table is sufficient to account for the observed abruptness of the settling process. He also showed that the motion concluded in a finite-time singularity.
Moffatt shows that, as time t approaches a particular time t0 (which is mathematically a constant of integration), the viscous dissipation approaches infinity. The singularity that this implies is not realized in practice because the vertical acceleration cannot exceed the acceleration due to gravity in magnitude. Moffatt goes on to show that the theory breaks down at a time τ before the final settling time t0, given by
\tau\simeq\left(2a/9g\right)^{3/5} \left(2\pi\mu a/M\right)^{1/5}
where a is the radius of the disk, g is the acceleration due to Earth's gravity, μ the dynamic viscosity of air, and M the mass of the disk. For the commercial toy (see link below), τ is about 10 − 2 seconds, at which \alpha\simeq 0.005 and the rolling angular velocity \Omega\simeq 500\rm Hz.
Using the above notation, the total spinning time is
t_0=\left(\frac{\alpha_0^3}{2\pi}\right)\frac{M}{\mu a}
where α0 is the initial inclination of the disk. Moffatt also showed that, if t0 − t > τ, the finite-time singularity in Ω is given by.....
http://en.wikipedia.org/wiki/Euler%27s_disk


Nerd.

flechette (Member Profile)

Euler's Disk

Euler's Disk

AnimalsForCrackers says...

>> ^GeeSussFreeK:

Just add LCD and you have days of excitement.


CRT is my drug of choice.

Also wow, the intensity really picked up towards the end. Sounded exactly like the first evolution you have in the game Space Invaders Infinity Gene for the iPhone. They probably used one of these buggers for that sound effect.

Shepppard (Member Profile)

Euler's Disk

Euler's Disk

BoneRemake says...

"Euler's Disk" is a trademark for a product manufactured and distributed by the "Damert Company" (Toysmith Group), consisting of a metal disk, a base having an upwards-facing concave mirror, and holographic, patterned magnetic stickers. One or more magnetic stickers may be attached to the top surface of the disk. The disk, when spun on the mirror, exhibits a spinning/rolling motion. Euler’s Disk has an optimized aspect ratio and precision polished, rounded edges to maximize the spinning/rolling time. A coin spun on a table, or any disc spun on a relatively flat surface, exhibits essentially the same type of motion.

A spinning/rolling disk ultimately comes to rest; and it does so quite abruptly, the final stage of motion being accompanied by a whirring sound of rapidly increasing frequency. As the disk rolls, the point P of rolling contact describes a circle that oscillates with a constant angular velocity ω. If the motion is non-dissipative, ω is constant and the motion persists forever, contrary to observation (since ω is not constant in real life situations).

In the April 20, 2000 edition of Nature, Keith Moffatt shows that viscous dissipation in the thin layer of air between the disk and the table is sufficient to account for the observed abruptness of the settling process. He also showed that the motion concluded in a finite-time singularity.

Moffatt shows that, as time t approaches a particular time t0 (which is mathematically a constant of integration), the viscous dissipation approaches infinity. The singularity that this implies is not realized in practice because the vertical acceleration cannot exceed the acceleration due to gravity in magnitude. Moffatt goes on to show that the theory breaks down at a time τ before the final settling time t0, given by

\tau\simeq\left(2a/9g\right)^{3/5} \left(2\pi\mu a/M\right)^{1/5}

where a is the radius of the disk, g is the acceleration due to Earth's gravity, μ the dynamic viscosity of air, and M the mass of the disk. For the commercial toy (see link below), τ is about 10 − 2 seconds, at which \alpha\simeq 0.005 and the rolling angular velocity \Omega\simeq 500\rm Hz.

Using the above notation, the total spinning time is

t_0=\left(\frac{\alpha_0^3}{2\pi}\right)\frac{M}{\mu a}

where α0 is the initial inclination of the disk. Moffatt also showed that, if t0 − t > τ, the finite-time singularity in Ω is given by.....

http://en.wikipedia.org/wiki/Euler%27s_disk

Logical Evidence That God Can Not Exist

kceaton1 says...

He brings up thermodynamics ( you could add QED into this to make it even stronger, quantum foam and what not...), but entropy would be what he is talking about. Entropy can be seen as something that is the same homogeneous "thing" (quarks, photons, hydrogen; or in the case of QED potential energies) breaking down by "physics" or the physical mechanics and properties of the universe into a less homogeneous "thing". Hence energy then particles then elements, stars, black holes, planets, galaxies, cluster groups, the universe. It never really changed it is merely entropy that distinguishes most of these things.

Time itself may induce entropy, but we still have things to figure out in that area. What QED teaches is that you don't need anything special at all to create the universe, "chance" is more than enough. Throw in time or entropy and wallah, instant mechanical system created with it's own mechanics and in superposition to anything outside to detect it unless they become entangled to us. If they measure anything our "universes" would combine into a hybrid (most likely--impossible for now to begin thinking if this would be possible).

Recently scientists have been able to "tune" cobalt niobate (the magnetic spins) into a quantum critical state (superposition) and more recently they've done the same with electrons. The magnetic "tuning" frequency they used to accomplish this was extremely close to the Euler's number: e. "Euler's number" may be linked to the appearance of entropy merely being a function of mechanics that me be described by physicists later as an algorithm. If e is linked it would explain many observable systems we already have knowledge of. You can see it already at work in multiple situations. It also has a strong correlation with: fractals, golden ratio, golden spiral, Fibonacci sequence, etc... It's also an irrational number which may cause the algorithm to seemingly never stop; you could zoom in and out on the universe and it would continually look the same in correlation with an universal algorithm.

I hoped I made my thoughts clear enough; I dumbed down a lot of the material hopefully I still get the point across. It may be that the universe is merely just potential energies with an algorithm thrown in for spice. Other universes would have their own algorithm and constants like e.

Some articles pertaining to some of this: Here, here, here, here, here, and here.

oxdottir (Member Profile)

critttter says...

PS, BTW, after my sister and I struggled with barely passing grades through incredibly chauvinistic public school math programs, my sister went on to get her masters degree as a math educator. Fight the power!

In reply to this comment by oxdottir:
OK, this is one of my favorite jokes. I realize it might not be popular, but I love it. I dedicate this joke to the biologically-unfunny crittter.


Two mathematicians are having dinner in a restaurant, arguing about what the unwashed masses understand about math. The first (and somewhat snotty) mathematician claims that the average American has trouble counting, much less doing complex math; the second (and rather down with the modern student, if he does say so himself) mathematician says people are generally smarter than they know, and you just have to encourage them to feel their inner Euler (so to speak).

The snotty one says, "OK, put your money where your mouth is: ask our waitress a simple Calculus question, and if she gets the answer right, you win the argument and I'll pay for dinner. But if she doesn't know what you are talking about, you have to shut up and pay up."

Our math "Dude" quickly agrees, but when the first guy goes to the mens' room, he quickly calls the waitress over and whispers, "It's not important, why, but I'm going to ask you a question when my friend comes back, and just remember that the answer is 'one third x-cubed.' You don't need to know why; all you need to know is there is a 50 dollar tip in it for you if you give me the answer correctly." She nods hurridly and paces off with a tray full of dishes.

Both of them back at the table, the waitress comes by to leave the check, the first guy raises his eyebrows with great significance at the second guy, and our math spokesman says, "Do you mind if I ask you what the integral of x-squared is?"

The waitress hems and haws and closely examines the ceiling while apparently trying to shove her tongue through the middle of her left cheek. Eventually she hesitantly says, "um, one third x-cubed...?"

Thanked for her answer, she picks up the payment (and hefty tip), and turns to walk away. Two steps away, she stops, turns back to the table, and announces clearly, "Plus a constant...ASSHOLE!"



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