Needle of Buffon
 

The needle of Buffon

Level: Interval - Half

    Georges Louis Leclerc(1707-88), was Count of Buffon celebrates naturalist franc? s author of a monumental Natural History in 44 volumes that compiled the knowledge cient? fico with an especially divulging aim. Nowadays does its name appear often associate to a denominated problem “the needle of Buffon” that it relates the n? mere pi with the launching of a needle on a lined surface.

    Buffon demostro that if we sent, at random, a needle of length L on a surface in which there is drawn l? does neas parallel separated one distance D, the probability that the needle cuts to an l? nea is:

      MATERIALS
    • A surface with l? neas parallel. It can serve a sheet of paper on that previously you have drawn several equidistant lines or a tiled ground, in the photo is possible to be seen that lines in the floor drawn up with sticky tape have been placed.
    • A needle, small stick or similar object, of smaller or equal length to the distance between l? neas. In order to simplify he is advisable that the distance between two rays agrees with the length of the needle. As we found that with a needle he is dif more? cil by his tama? or we recommended to use wood pieces of sweeps cut of the same tama? or.
    • L? piz
    • Notebook of Annotations

      PROCEDURE

      • It drops, of the possible more most random form, the needle (or the wood of it sweeps) on the surface.
      • It writes down the n? mere of distances and the n? mere of times that the short needle to an l? nea.
      • The quotient between the n? mere total of distances and the n? mere of times that the short needle to an l? does nea lie down to pi/2 (to look like? so much more is whichever major the n? mere of distances)

    • It drops, of the possible more most random form, the needle on the surface.
    • It writes down the n? mere of distances and the n? mere of times that the short needle to an l? nea.
    • The quotient between the n? mere total of distances and the n? mere of times that the short needle to an l? does nea lie down to pi/2 (to look like? so much more is whichever major the n? mere of distances)



  • If the needle has a length (l) smaller than the distance between two ls? neas (d):

Purchase constructed and ready experiments to use
More Experiments