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Viaggio d’istruzione » Le parabole

Viaggio d’istruzione

Il giorno 20 aprile 2012 siamo andati a Mirabilandia (Ravenna) per vedere il Katun, giostra che si basa sulle applicazioni pratiche delle curve geometriche, in particolare il loop e la parabola.
Durante la mattina siamo stati con una guida che ci ha dato dei fascicoli intitolati “Progetto Matelandia – La matematica nelle attrazioni”, con la quale, con l’aiuto della guida, abbiamo studiato le parabole presenti nel Katun e abbiamo scoperto cos’è un loop.

Nelle giostre non vengono mai usate circonferenze, in quanto percorse ad alta velocità potrebbero creare problemi all’organismo umano, effetto che non si rappresenta sfruttando due loop collegati con una parabola, in quanto la variazione della curva avviene in modo graduato e non in modo improvviso, come succederebbe usando delle circonferenze collegate da rette.

Anche il tratto iniziale del Katun, cioè quello in discesa, è una parabola, infatti permette di simulare la caduta dell’oggetto, infatti se fosse una retta ci sarebbero altre forze in campo, che potrebbero cambiare l’esperienza complessiva.

Per approfondire la parabola clicca qui oppure qui per il loop verticale.

300px-Europa-Park_Silver_Star

Le parabole

Le parabole vengono molto usate su delle attrazioni, come ad esempio il katun, perchè fa seguire alla rotaia, e quindi all’oggetto che la percorre, una traiettoria balistica, senza causare effetti indesiderati ai passeggeri della giostra sui tratti in discesa, senza quindi tendendo a sollevare o schiacciare verso il basso le persone. Un altro uso della …

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Clotoide1

Loop verticale

I loop verticali sono delle parti di clotoidi, che sono figure geometriche dette anche frattali, perchè non hanno né inizio, né fine. Nella galleria in basso è possibile vedere un clotoide, mentre se si vuoi capire meglio il concetto di frattale si può ricorrere a Julia Map, uno strumento sviluppato da Google per dimostrare le …

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