Wednesday, August 27, 2008

See fire-balls (Gini bola) with Mathematics !

By Naleen Ganegoda (email : naleen_cg@yahoo.com)
Department of Mathematics, University of Sri Jayewardenepura

A procession (perahera) with fire-balls; Fire-balls with Mathematics. What…….?

You may aware that all fire-ball artists try to demonstrate circular motions using fire-balls. There are horizontal as well as vertical fire-ball displays. Whatever it is, main concern is to maintain a suitable speed to have a circle of fire.

Now, let us enter into Maths; . This is the basic equation that governs a circular motion. Here v – tangential velocity,  – angular velocity and r – radius.

How can we catch up these terms from a fire-ball motion? Let us consider a motion of one fire-ball. If we keep our eyes with the fire-ball, the speed of rotating our eyes corresponds with w. Watch artist’s hands too! If w is high, hands are too quick. Now for v, keep your eyes in a particular point at the fire circle and try to tackle the speed of the fire-ball, when it is passing through that point. That speed is corresponding to v.


To display a fire circle, artists should maintain v appropriately in a higher value. Then relevant w is decided according to the length of the rope or stick that attaches the fire-ball. r represents this length. So, fire-ball artists are good users of Maths!

Finally, think of this as well.

Don’t choose a position closer to the centre, when you are in a Merry-go-round

Why is that? Guess the trick with .

Incredible Irrational Numbers !

By Naleen Ganegoda (email: naleen_cg@yahoo.com)
Department of Mathematics, University of Sri Jayewardenepura

In Mathematics world, irrational numbers play a controversial role. If a number cannot be written as a division of two integers, then it is called an irrational number. √2 is the most common example in this regard.

Now, what is the incredible aspect of these irrationals? It comes with decimal representation of irrationals. The decimal representation of an irrational number belongs to infinite decimal category. This reveals that numerically, an irrational number cannot be interpreted exactly. For an instance, √2 has its decimal representation as 1.4142135……, where there is no termination or pattern to understand the numerical value. So, can we tell exactly what the amount √2 comprises? No, we cannot. But, surprisingly we can draw a length of √2 units exactly. Just think of the diagonal of a rectangular bilateral triangle with sides other than to diagonal are of unit length. According to the Pythagoras Theorem, it is √2. What a strange moment! We cannot tell what √2 is, but we can draw it in a paper! Is it a magic cheating our eyes?


Try this magic with more and more irrationals. If you hunt more, you get more.

Monday, August 4, 2008

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Special report on Nanotechnology from New Scientist

Many incredible claims have been made about the future's nanotechnological applications, but what exactly does nano mean, and why has controversy plagued this emerging technology?
Read full story from newscientist web site.