Q: Why does a curve ball curve?
A: The curved path of a spinning ball is caused by small differences in
air pressure which cause it to deviate from its normal trajectory. In the
mid eighteenth century Daniel Bernoulli applied Newton's laws of motion
to moving fluids to discover that when the speed of air increases its pressure
decreases. Bernoulli's principle is responsible for the lift on airplane
wings, the ability of a sailboat to sail into the wind, the operation of
a carburetor, the spray bottle, and the curve ball. A spinning ball drags
a thin layer of air around with it. The air of this layer which is spinning
into the oncoming wind has a lower airspeed than that which is spinning
away from the wind. Bernoulli's principle predicts that the pressure is
lower on the high speed side. This results in a small force being applied
across the spinning ball which causes the ball to curve away from its expected
line of flight. The direction of the Bernoulli force depends on the orientation
of the spin axis of the ball and so the deflection of the ball depends on
the kind of spin it has. If it has topspin its spin axis is horizontal,
its top is the low speed side and its bottom is the high speed side. This
creates a downward push on the ball and causes it to curve downward. The
ball may suddenly break after following a normal trajectory for awhile because
it takes several revolutions for the spinning layer of air to become organized
enough to produce the pressure difference. A ball that is thrown too fast
will not have enough time to curve properly. That's why the curve ball is
a slow pitch. A ball that is not spinning does not develop the thin, spinning
streamline of flow around it. Instead, turbulence rules its trajectory.
Turbulence is chaotic, so the path of a knuckeball or a forkball is much
less predictable. The spin of a ball in flight acts along with gravity and
air resistance to determine the shape of the trajectory. By controlling
the spin the pitcher keeps the batter guessing about what the ball might
do on its way to the plate.
Richard Brill is assistant professor of science at Honolulu Community
College where he teaches earth and physical science. Send questions to him
at Honolulu Community College, 874 Dillingham Blvd., Honolulu, HI 96817
or email to rickb@hcc.hawaii.edu
The Breaking Pitch ©1995 Richard C. Brill