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Baseballs
have 108 stitches that bind together two figure eight shaped
pieces of cowhide. Air molecules collide with spinning baseball
seams to generate forces that change the direction of pitches
on their way toward home plate. Daniel Bernoulli's fluid flow
equation explains how 108 stitches generate forces as baseballs
move through the air molecule fluid.
a. Fluid Flow
Equation
If
incompressible fluids are in streamline motion, then the fluid
flow equation is constant at every point in the fluid.
½ dv2
+ hdg + P
Where:
d stands for density
v stands for velocity
h stands for height
P stands for pressure
g stands for gravity
Fluid
molecules are in streamline flows when they move from points
to points without rotational motions or turbulences. Because,
in pitching, air molecules are the fluid of interest, we can
identify the preceding variables. Density (d) is air density.
Velocity (v) is the velocity with which air molecules rush past
baseballs or the baseballs rush past air molecules. Height (h)
is the baseball's diameter. Pressure (P) is the interaction between
air molecules and baseball's seams.
When
pitchers pitch, their pitches rush through air molecules at some
velocity (v). Air molecules uniformly collide with the front
half of baseballs. Pitchers cause their pitches to rotate in
different ways. Rapidly spinning baseballs increase the influence
of their seams on the air molecules.
1. Magnus
Effect
When
baseballs spin rapidly, their seams collide with and drag air
molecules along with them. Where spinning seams collide with
air molecules, pressure increases. Where spinning seams drag
air molecules along with them, pressure decreases. The German
physicist, Magnus, described this phenomenon when he showed why
four seam curveballs changed direction in flight.
a) Magnus
Fastball
Magnus
fastballs have four seams spinning counter-clockwise with horizontal
axes. Their bottom seams rotate forward to collide with air molecules
and create increased pressure. Their top seams rotate away from
air molecules and create decreased pressure. Consequently, Magnus
fastballs have increased pressure below the baseball and decreased
pressure on top of the baseball. These pressures cause Magnus
fastballs to move upwardly.
Gravity
accelerates pitches downwardly at 32 ft/sec2. Additionally,
air molecules decelerate pitches. Decelerating pitches move downwardly.
Therefore, Magnus fastballs do not move upwardly. However, rapidly
spinning Magnus fastballs do not fall as rapidly as if they did
not have the Magnus Effect. The decreased falling rates of Magnus
fastballs fool batters into swinging below where they actually
cross home plate.
1) Magnus
Fastball Grip
In
the following discussion, I will explain how pitchers should
grip their pitches. The scientific designation for the thumb,
index, middle, ring and little fingers are the 1st,
2nd, 3rd, 4th and 5th digits. The 2nd through 5th digits contain
proximal, middle and distal phalanges. The 1st digit
contains only proximal and distal phalanges.
To
grip Magnus fastballs, pitchers place the distal phalanges of
their 2nd and 3rd digits vertically across
the middle of a big loop. Pitchers should jam the baseballs tightly
against the proximal phalanges of the 2nd and 3rd digits. The lower one-third of the baseball easily rests on the
middle phalange of the 4th digit. The 5th digit folds under the 4th digit. The side of the joint
between the proximal and distal phalanges of the 1st digit presses lightly against the lower one-third of the baseball
touching the 4th digit.
2) Magnus
Fastball Release
Magnus
fastballs leave pitchers' grips evenly off the distal phalanges
of the 2nd and 3rd digits. At release,
the fingertips impart high velocity reverse horizontal spin axis
rotation.
b) Magnus
Curve
Magnus
curves have four seams spinning clockwise with horizontal axes.
Their top seams rotate forward to collide with air molecules
and create increased pressure. Their bottom seams rotate away
from air molecules and create decreased pressure. Consequently,
Magnus curves have increased pressure on top of the baseball
and decreased pressure below the baseball. These pressures cause
Magnus curves to move downwardly.
Gravity
also pushes Magnus curves downwardly. Air molecules decelerate
pitches. Decelerating Magnus curves move baseballs downwardly.
Therefore, rapidly spinning Magnus curves have several variables
that cause them to change directions downwardly. The increased
falling rates of Magnus curves fool batters into swinging above
where they actually cross home plate.
1) Magnus
Curve Grip
To
grip Magnus curves, pitchers lay their 2nd and 3rd digits diagonally across the narrow seams of baseballs. Pitchers
turn the lateral side of the distal phalange of their 3rd digit against the seam along the top edge of the loop. They tightly
press their 2nd digit against their 3rd digit. Pitchers jam Magnus curves tightly against the proximal
phalanges of their 2nd and 3rd digits.
Tight grips generate greater release spin velocities. Pitchers
squeeze the baseball between their 3rd and 4th digits. The middle phalange of their 4th digit forms
a platform against which the 3rd digit pushes. The
5th digit tucks under the 4th digit. The
side of the joint between the proximal and distal phalanges of
the 1st digit presses tightly against the lower one-third
of the baseball and touches the 4th digit.
2) Magnus
Curve Release
Pitchers
drive the side of their 3rd digit horizontally through
the baseball. When the 3rd digit reaches the end of
its driveline, the 3rd digit drives through the baseball
such that the baseball moves over the 3rd and 2nd digits. At release, pitchers powerfully decelerate, stop and
snap back their 3rd digit. Champion yoyo artists similarly
decelerate, stop and snap back their yoyos.
c) Magnus
Screwball
Magnus
screwballs have four seams spinning clockwise with horizontal
axes. Their top seams rotate forward to collide with air molecules
and create increased pressure. Their bottom seams rotate away
from air molecules and create decreased pressure. Consequently,
Magnus screwballs have increased pressure on top of the baseball
and decreased pressure below the baseball. These pressures cause
Magnus screwballs to move downwardly.
Gravity
also pushes Magnus screwballs downwardly. Air molecules decelerate
pitches. Decelerating Magnus screwballs move baseballs downwardly.
Therefore, rapidly spinning Magnus screwballs have several variables
that cause them to change directions downwardly. The increased
falling rates of Magnus screwballs fool batters into swinging
above where they actually cross home plate.
1) Magnus
Screwball Grip
To
grip Magnus screwballs, pitchers lay their 3rd digits
diagonally across the narrow seams of baseballs. Pitchers turn
the lateral side of the distal phalange of their 3rd digit against the seam along the top edge of the loop. They lay
their 2nd digit on the opposite side of that seam.
Pitchers jam Magnus screwball tightly against the proximal phalange
of their 3rd digits. Tight grips generate greater
release spin velocities. Pitchers squeeze the baseball between
their 3rd and 4th digits. The middle phalange
of their 4th digit forms a platform against which
the 1st digit pushes. The 5th digit tucks
under the 4th digit. The pad of the 1st digit presses tightly against the baseball.
2) Magnus
Screwball Release
Pitchers
drive the side of their 3rd digit horizontally through
the baseball. When the 3rd digit reaches the end of
its driveline, the 3rd digit drives through the baseball
such that the baseball moves over the 3rd digit with
a horizontal spin axis. At release, pitchers powerfully decelerate,
stop and snap back their 3rd digit. Champion yoyo
artists similarly decelerate, stop and snap back their yoyos.
2. Marshall
Effect
When
the four seams of baseballs spin as the Magnus Effect describes,
about one-eighth of their leading surface contain seams. Therefore,
Magnus pitches have their four seams collide with air molecules
only about twelve and one-half percent of the time.
When
I learned of the Magnus Effect, I immediately wondered whether
baseballs could rotate in such a way as to increase the percent
of the seams that could collide with air molecules. Therefore,
I closely examined various ways that baseballs could rotate with
seams on their leading surfaces.
With
two figure eight patterns sewn together, baseballs formed four
loops. I determined that baseballs could rotate in such a manner
as to have one of these loops constantly on its leading surface.
In this way, this loop could create a circle that constantly
collided with air molecules. I call the circle that this loop
creates, 'The Circle of Friction.'
Marshall
pitches have seams that cover over seventy-five percent of the
circle and about twenty-five percent of the leading surface.
Also, whereas the seams of Magnus pitches collide with air molecules
only one-half of the time, the seams of Marshall pitches continuously
collide with air molecules. Therefore, Marshall pitches have
significantly increased air molecule pressures acting on them.
Pitchers
can place the Marshall circle of friction at various positions
on the leading surface of their pitches. When air molecules collide
with these seams, pressure increases to push the baseballs away
from their circles of friction.
a) Marshall
Slider
Marshall
sliders have circles of friction spinning clockwise on the top
pitching arm side of their leading surfaces with downwardly directed
spin axes. Their seams rotate forward to collide with air molecules
and create continuous increased pressure. Consequently, Marshall
sliders have increased pressure on top pitching arm side of baseballs.
These pressures should cause Marshall sliders to move downwardly
and away from the pitching arm.
Gravity
also pushes Marshall sliders downwardly and away from the pitching
arm. Air molecules decelerate pitches. Decelerating Marshall
sliders move downwardly and away from the pitching arm. Therefore,
rapidly spinning Marshall sliders have several variables that
cause them to change directions downwardly and away from the
pitching arm. The increased falling rates of Marshall sliders
fool batters into swinging above where they actually cross home
plate.
1) Marshall
Slider Grip
To
grip Marshall sliders, pitchers lay their 2nd and
3rd digits diagonally across the narrow seams of baseballs.
Pitchers turn the lateral side of the distal phalange of their
3rd digit against the seam along the top edge of the
loop. They lay their 2nd digit tightly next to their
3rd digit. Pitchers jam Marshall sliders tightly against
the proximal phalange of their 2nd and 3rd digits. Tight grips generate greater release spin velocities.
Pitchers squeeze the baseball between their 3rd and
4th digits. The middle phalange of their 4th digit forms a platform against which their 3rd digit
pushes. The 5th digit tucks under the 4th digit. The side of the joint between the proximal and distal
phalanges of the 1st digit presses tightly against
the baseball.
2) Marshall
Slider Release
Pitchers
drive the side of their 3rd digit at forty-five degree
angles through the baseball. When the 3rd digit reaches
the end of its driveline, the 3rd digit drives through
the baseball such that the baseball moves outside of the 3rd digit with a downward spiral spin axis.
b) Marshall
Sinker
Marshall
sinkers have circles of friction spinning counter-clockwise on
the top non-pitching arm side of their leading surfaces with
downwardly directed spin axes. Their seams rotate forward to
collide with air molecules and create continuous increased pressure.
Consequently, Marshall sinkers have increased pressure on top
non-pitching arm side of baseballs. These pressures should cause
Marshall sinkers to move downwardly and toward the pitching arm.
Gravity
also pushes Marshall sinkers downwardly and toward the pitching
arm. Air molecules decelerate pitches. Decelerating Marshall
sinkers move downwardly and toward the pitching arm. Therefore,
rapidly spinning Marshall sinkers have several variables that
cause them to change directions downwardly and toward the pitching
arm. The increased falling rates of Marshall sinkers fool batters
into swinging above where they actually cross home plate.
1) Marshall
Sinker Grip
To
grip Marshall sinkers, pitchers lay their 3rd digits
diagonally across the narrow seams of baseballs. Pitchers turn
the lateral side of the distal phalange of their 3rd digit against the seam along the bottom edge of the loop. They
lay their 2nd digit tightly next to their 3rd digit on the opposite side of the seam. Pitchers jam Marshall
sinkers tightly against the proximal phalange of their 3rd digits. Tight grips generate greater release spin velocities.
Pitchers squeeze the baseball between their 3rd and
4th digits. The middle phalange of their 4th digit forms a platform against which their 1st digit
pushes. The 5th digit tucks under the 4th digit. The pad of the 1st digit presses tightly against
the baseball.
2) Marshall
Sinker Release
Pitchers
drive the side of their 3rd digit at forty-five degree
angles through the baseball. When the 3rd digit reaches
the end of its driveline, the 3rd digit drives through
the baseball such that the baseball moves inside of the 3rd digit with a downward spiral spin axis. |