The World Pool-Billiard Association Tournament Table and Equipment
Specifications (November 2001) state: "All balls must be composed of
cast phenolic resin plastic and measure 2 ź (+.005) inches [5.715 cm (+
.127 mm)] in diameter and weigh 5 ˝ to 6 oz [156 to 170 gms]."
(Specification 16.)
This means that balls with a diamenter of 2.25 inches cannot have any
imperfections (bumps or dents) greater than 0.005 inches. In other
words, the bump or dent to diameter ratio cannot exceed 0.005/2.25 =
0.0022222
The Earth's diameter is approximately 12,756.2 kilometres or 12,756,200
metres.
12,756,200 x 0.0022222 = 28,347.111
So, if a billiard ball were enlarged to the size of Earth, the maximum
allowable bump (mountain) or dent (trench) would be 28,347 metres.
Earth's highest mountain, Mount Everest, is only 8,848 metres above sea
level. Earth's deepest trench, the Mariana Trench, is only about 11
kilometres below sea level.
So if the Earth were scaled down to the size of a billiard ball, all its
mountains and trenches would fall well within the WPA's specifications
for smoothness.
However, it should be noted that if the Earth were reduced to the size
of a billiard ball, it would not conform to the WPA specifications, due
to its shape (as well as its composition). The Earth is not a perfect
sphere. It is an oblate spheroid. The distance between its poles is
shorter than its diameter at the equator by apporoximately 42km. As this
is greater than the 28.347km stated above, it would not be deemed
sufficiently spherical to pass the test.
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"OK you cunts, let's see what you can do now" -Hit Girl
http://www.youtube.com/watch?v=CjO7kBqTFqo