Summary Report submitted to the Dallas
Mavericks
October 26, 2006: MavBalls
Investigation
Executive Summary:
Thus far, over the period October
14-present, through various tests, we have
determined four major performance differences
between the old leather balls and the new synthetic
balls provided to us by the Dallas Mavericks
organization. It should be noted that the leather
balls provided were not new, but rather had been
used for extended periods, whereas the synthetic
balls provided were brand new.
(1) The two types of balls have
different heights of return bounce when inflated to
the same pressures and dropped from identical
heights. The new synthetic balls display measurably
reduced return height than the leather balls - about
5% less on average, when dropped from about four
feet. Our compression measurements also indicate
differences in elasticity. The difference in bounce
heights may translate to effects on players'
reactions and handling in terms of dribbling,
passing, rebounding off the backboard, bouncing off
the rim, etc.
(2) The surface of the synthetic
balls display a factor of two higher coefficient of
static friction when both leather and synthetic
balls are dry. This characteristic would make the
synthetic balls easier to grip (stickier) than the
leather balls, when dry.
(3) However, with a few drops of
added moisture on the surface of each type of ball,
the new synthetic balls have a coefficient of
friction which is at least 30% smaller than
similarly moistened leather balls. We have also
measured the moisture absorption rate, which
confirms that the synthetic ball absorbs moisture at
a much slower rate, leaving more of the moisture on
the surface. Therefore, when wet, the synthetic
balls are much harder to grip and handle (slippery).
By contrast, our measurements indicate that the grip
of the leather ball improves after similar
moistening.
(4) The synthetic balls bounce
more erratically (i.e., at a wider range of angles)
off floors. Preliminary measurements suggest about
30% greater deviation in the position of the
synthetic ball after a bounce. More tests are
scheduled to quantify this precisely.
All the above conclusions should
be considered preliminary and subject to revision
since we are still actively testing.
Details of Measurements:
(1) We have measured the size and
weight of the two types of balls - they are
essentially identical in these base characteristics
(less than 1% difference). The conditioned leather
balls and synthetic balls have similar patterns on
the surface. However, prior to use/conditioning, the
leather balls display a spherical appearance to the
"pebbling" -- instead of the flatter appearance seen
in conditioned leather balls and synthetic balls.
More
(2) Tests have shown that the
synthetic ball bounces back lower by 5-8% when
dropped from a height of little over four feet,
depending on the hardness of the floor.
Specifically, for a hard linoleum floor with
concrete underneath, the leather ball bounced back
an average distance of 2.2 inches higher compared to
the synthetic ball, when dropped from a height of 4
feet 3.7 inches. The coefficient of restitution is
0.81 for the leather ball at this height, increasing
monotonically to 0.85 for successive bounces till
they reach approximately one third of the drop
height. The coefficient of restitution for the
synthetic ball was 0.79-0.84 over the same range of
heights. The difference in bounce was more
pronounced (increasing to 4 inches) on softer, more
pliant floors.
(3) In order to compensate for the
difference in bounce, we re-tested the basketballs
by over-inflating the synthetic balls. The synthetic
ball had the same bounce characteristic as a
conditioned leather ball when over-inflated to 14 psi
(the required over-inflation depends on the hardness
of the floor). The leather ball was inflated to the
recommended pressure of 8.5 psi for comparison.
(4) The bounce test was repeated
with a new (unconditioned) leather ball. We found
that the unconditioned leather ball had similar
coefficient of restitution to the synthetic ball at
same inflation -- that is, both bounced back
essentially to the same height. We conclude that the
conditioning of leather balls increases their
bounce. However, thus far, we have not attempted to
condition our new leather ball and repeat the tests.
More
(5) The synthetic balls absorb
water at a much slower rate, averaging 8.6 grams per
minute. The conditioned leather balls will absorb
water more rapidly, about 70 grams within a minute.
After quasi-saturation at these water masses, the
leather balls absorb water at a much slower rate
than the synthetic balls, averaging 3.3 grams per
minute. More
(6) We have performed compression
tests of all the balls. The data is being analyzed.
Qualitatively, we find that the leather balls
compress more easily under the same load, compared
to the synthetic balls. The compression is linear
over reasonable range of forces; we are in the
process of quantitatively determining the
elasticity. More
(7) Initial friction tests show a
much higher coefficient of friction for the
synthetic ball when dry. The coefficient of friction
between the surface of the synthetic ball and a
silicon surface (medical literature shows silicon to
have a friction coefficient similar to the human
palm) is about 3.2, for our experimental setup. The
friction coefficient is 1.69 for the leather ball,
using the same procedure.
(8) Friction tests with liquids
such as Visine (which has viscosity higher than
water, similar to human tear drop, possibly closer
to sweat) applied to the silicon (one drop per 2"x2"
area) show that the coefficient of friction
increases for the leather ball. After repeated
application of drops, the coefficient increased
gradually by at least 30% for the leather ball,
thereby making it more "gripable". After
quasi-saturation. adding drops reduced the
coefficient by 20%, relative to a dry ball. However,
for the synthetic ball, the coefficient of friction
reduces immediately by 55% with the first drop of
liquid. A larger reduction is seen with repeated
application of liquid. In conclusion, the wet
synthetic ball is significantly more slippery
compared to wet leather balls.
More
(9) During our bounce tests, we
observed that the synthetic ball bounced more
erratically compared to the leather ball.
Preliminary data shows an average horizontal
deviation (near the apex after the bounce) of 15 mm
for the leather ball, and 22 mm for the synthetic
ball, after bouncing off the floor. Examination of
the surface characteristics of the synthetic ball
showed that more than 20% of the surface is embossed
with text and logos to a depth of a few millimeters.
We speculate that the more uneven surface of the
strongly embossed synthetic balls is the principal
cause for the erratic bounces in our tests. The
surface of the leather ball is far more consistently
spherical and even. We are continuing to improve
these measurements. More
Future tests:
(a) Continuing studies of friction
to quantify the loss of grip when the synthetic ball
is wet.
(b) Wind tunnel test of
aerodynamic drag is scheduled for later this week.
More
(c) Further quantitative
measurement of erratic bounce is scheduled for next
week.
(d) Repeat the bounce test
(coefficient of restitution) at the American
Airlines Center, if possible.
(e) All other tests are being
repeated or redone with increased precision.
Preliminary recommendations:
Based on our measurements so far,
we would recommend that the embossing of the
synthetic ball should be discontinued, to reduce
erratic bounces. The material of the synthetic ball
should be made more moisture absorbent, to increase
friction and associated "gripability" when the
surface is wet. The thickness of the rubber backing
could be reduced to increase bounce. These
relatively minor changes in manufacturing, it seems
to us, would meet the dual needs of a more uniform
low maintenance ball desired by the league with the
performance characteristics approximating those
which the players are accustomed to and prefer.
General comments about our
measurements:
All tests were done with the balls
inflated at 8 or 8.5 lbs. For comparisons shown
above, old and new balls had the same inflation.
Every measurement has been or will be repeated
multiple times. We will include an estimate of
errors in the next report. We used the following
sample of balls for our studies: three conditioned
leather balls provided by the Dallas Mavericks,
three new synthetic balls provided by the Dallas
Mavericks, two new (not conditioned) official NBA
leather balls purchased by us, and one new official
NBA synthetic ball purchased by us. At this stage,
please note that all measurements should be
considered preliminary.
Kaushik De and Jim Horwitz
and the UT Arlington MavBalls Team
Department of Physics
The University of Texas at
Arlington
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