The Validity of Pi
Purpose: Since it's discovery by the father
of Geometry, Euclid, Pi has been the cornerstone of classical physics
and math. Derived from circles, Scientific AmeriKen will repeat the processes
used to find this figure, and hopefully prove the validity of Pi.
Hypothesis: Since the current value of Pi seems
to work for everything, Scientific AmeriKen will hope that the results
of the experiment will yield Pi having a value of 22/7 or roughly 3.14
Equipment: Needed for this experiment is one
circle, one cylindrical object capable of having it's volume measured,
a measuring tape, pen, paper, and a calculator is optional.
is the section going from the center to the outside, labeled
with a red line. The formula given for the circumfrance of a circle is
given by C = 2(pi)r, By dividing the measured circumfrance by twice the
value of the radius, the value of Pi should be determined. The next step
is to repeat this experiment with the cylinder. Measurements for this require
measuring the radius, and the height of the cylinder, as well as finding
out the total volume to object holds. The formula then becomes, V=(pi)r^2h,
therefore, dividing the volume by the square of the radius times the height
will give the value of pi.
|Procedure: This first step is to
measure the circumfrance and the radius of the circle. Circumfrance is
the distance around the outside of the circle, (blue line) the radius
||Experimental Value of Pi
|Roll of Tape
|Experimental Ave. Value of Pi
||True value of Pi
||Exp. Value of Pi
||354.72 Cubic cm
|Bottle of Whiteout
||17.74 Cubic cm
Conclusion: Based on the percent error of roughly
3-4% it is safe to say that Pi is an adequate approximation in dealing
with circles, and furthermore, it would be tough to argue against all of
science that the value of Pi is wrong based on it being only 3% off. Therefore
the hypothesis is proven true, however, Scientific AmeriKen would like
to state that just because the constant of Pi has been scientifically proven
does not mean that other constants such as c (speed of light) e
(the value of the natural log) and many others are not exempt from the
scrutiny of Scientific AmeriKen!
|Experimental Ave. value of Pi
||True Value of Pi
by Brian Kobashikawa
Back to Scientific AmeriKen!
|Scientific AmeriKen would wish
to make a dedication to several contributers, Brian Kobashikawa,
for assistance of musical selections, as well as some pieces of his
own, Brad Hutcheson, and "Dr. John" for additional reasearch they have
done on their own. Thanks!