The World's Tallest Pythagoras Cup—Does It Still Drain?
A video on YouTube. In Science & Engineering, a Krater category.
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The creator tests and explains the mathematics and physics behind a 3D printed 'deluxe Pythagorean cup', a mug designed to drain completely if filled past its fill line due to a hidden internal siphon tube.
From the video
Answers: How does a Pythagorean cup work and how tall can it be before it fails?
- Pythagoras cup physics
- Siphon mechanism in mugs
- Fluid dynamics of straws
- 3D printing functional mugs
- Water pressure limits in siphons
- Bambu Lab 3D printers
What it concludes
- A siphon cannot suck liquid up if the straw is longer than 34 feet at standard atmospheric pressure.
- The true height of the straw in a Pythagorean cup is the height of the cup minus the level of water in the cup.
- As the height of a Pythagorean cup increases beyond the straw limit, progressively less water drains from the cup, approaching 100% water remaining for infinitely tall cups.
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