Euler's Disk: maths can be fun!

in #science8 years ago

Euler's Disk is an educational toy known for a seemingly paradoxical dramatic speed-up in spin rate as the disk loses energy and approaches a stopped condition.

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Euler's Disk

Euler's Disc Spins for Minutes


Credits: Vat19

Euler's Disc Laser Light Show


Credits: Vat19

The Maths of Spinning Coins and Euler's Disk


Credits: standupmaths

Matt & Hugh: The Euler Disk Which Spins Forever


Credits: standupmaths

Friction and Vibration
Note that Euler's Disk would spin & roll forever if it were not for friction and vibration.

Conservation of Energy
When Euler's Disk is spun, the disk contains both potential and kinetic energy. The potential energy is given to the disk when it is placed upright on its side. The kinetic energy is given to the disk when it is spun on the mirrored base.

euler

Angular Momentum
Like a top, Euler's Disk uses its angular momentum to hold itself upright. As the disk spolls around in a circle it is held in place by a balance of the gravitational force pulling the disk down and the force applied by the mirror base which holds the disk up.

Credits: www.eulerdisk.com

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