Dunya’nin merkezinden gecen tunel: 84 dakikada devr-i Dunya



Dunya’nin merkezinden gecen bir tunele bir kapsul icinde dusseniz, tunelin Dunya’nin obur ucundaki agzindan ne kadar sure sonra cikarsiniz?

Bu problem genel adi “terrestrial brachistochrone” olan problemin bir alt durumu oluyor [1]. “Terrestrial brachistochrone problem,” “Yersel en kisa zaman problemi” anlaminda, ve Dunya’nin bir yerinden bir yerine giderken hangi yol veya yollardan en kisa zamanda gidilebilecegini bulmayla alakali sorulari iceriyor. Bunun bir yuzyildan fazla bir suredir fizikcileri mesgul eden bir konu oldugunu ogrenince sasirmistim [2-7].

Yukarida sordugum sorunun uzun sayilabilecek bir cozumu var. Fakat ilginc bir sekilde “harmonik salinim sistemi” kavramini kullanarak cok kisa bir hesapla da cozulebilir.

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