Pythagoras kop

Pythagoras kop i funktion.

En Pythagoras kop er en form for spøg og skæmtartikel i form af en kop. Den er opkaldt efter den græske matematiker Pythagoras, som efter sigende har opfundet den. Koppens udformning gør, at den bliver tømt via et hul i bunden, hvis den bliver fyldt for meget.

Den skulle efter sigende være opfundet af Pythagoras, der gav den til sine elever, så han vidste, at de alle fik lige meget vin. Hvis én tog for meget, ville det hele løbe ud af bunden. På Kreta kaldes den "o kounenos tis dikaiosynis" på græsk, hvilket betyder retfærdighedens kop.

Form og funktion

En Pythagoras kop solgt på Samos.

En Pythagoras kop ligner en normal kop, bortset fra, at der er en søjle inden i koppen. Søjlen er i midten af koppen over et hul i bunden af koppen. Et lille rør går fra hullet inden i søjlen og næsten helt op i den hule søjle. Søjlen er således også et rør, og den har et lille hul på siden nederst i bunden af koppen.[1][2]

Når koppen bliver fyldt, vil væskestande stige i den indvendige del af søjlen efter Pascals lov om forbundne kar. Så længe, væskeniveauet ikke bliver højere end det inderste rør, fungerer koppen normalt. Hvis væskemængden bliver for høj, begynder den at flyde ned i det inderste rør og ud af hullet i bunden. Tyngdekraften skaber der efter en hævert, og al væsken fra koppen flyder op igennem det yderste rør og ned igennem det inderste. Visse moderne toiletter fungerer ved samme princip.[3]

Se også

Noter

  1. ^ "Physics demonstrations: the Pythagoras cup". skullinthestars.com. 2012-04-26. Hentet 2015-01-30.
  2. ^ Ewbank, Thomas (1842). A Descriptive and Historical Account of Hydraulic and Other Machines for Raising Water, Ancient and Modern: With Observations on Various Subjects Connected with the Mechanic Arts: Including the Progressive Development of the Steam Engine. In Five Books. D. Appleton & Company. s. 582.
  3. ^ "Pythagorean cup - The Theory". EP Magazine. Hentet 2015-01-30.

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