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The Force of Gauge
Science at the Ballgame

Most baseball players don't realize it, but they are constantly being influenced by science and technology.  Here are some explanations of how science and technology have shaped the game of baseball.

 How does a Runner Attempt to Steal Second?

A runner on first base trying to steal second must get to second base during the time that it takes the pitcher to deliver the pitch and the catcher to catch the ball and throw it back to the second baseman or shortstop, who will attempt to tag out the runner.

Of course, the runner has taken a lead off first base.  That means that the distance to be run has been cut down, which will shorten the runner's time in running from first to second base.  And the runner will probably slide into second base. 

What's the purpose of a Slide?

 Does sliding help a runner to get to second base any faster?  Of course not.  It does help him or her come in under the throw, but the opposing infielder is expecting that and will try to tag the runner low down.  Actually, the runner is using the slide to slow down.  Running flat out might cause him or her to run across second base and the runner must stop there or he or she can be tagged out for not being on the base.  The runner is really using the friction between the body and the ground to decrease acceleration and stop in a hurry.

Why does a Runner Round the Bases?

Inertia has been defined as the characteristic of all bodies that causes them either to stay at rest or to stay in constant motion - that is, unless an outside force acts upon the bodies. We have all experienced this when an automobile goes around a turn.  Remember that objects tend to go in a straight line.  If a turn is taken too fast without seat belts being fastened, we tend to slide right across the seat.

Now suppose a batter is trying to score an inside-the-park home run.  The batter must run as fast as possible, so he or she does not run straight to first base, turn left, run straight to second base, turn left, etc.  What must be done is called rounding the bases.

If the player were to make a sharp turn at each base, it would be necessary to stop, then turn, and then head to the next base.  There is no time for that, so the runner must follow a curved path around the infield, fighting inertia while keeping most of his or her speed.  Running in a curved path is easier than stopping at each base and making a 90-degree turn toward the next base.

Think of how a runner tries to beat out an infield hit.  He or she runs straight toward first base, trying to beat the throw.  This is covering the shortest distance between home and first.  But if the player thinks there is a chance to stretch the hit into a double, he or she will follow a curved path toward first, therefore being in a position to make the turn toward second more effectively.

How Does a Player Catch a Hard-Hit Line Drive?

Newton's second law of motion says that the net force on a mass is directly proportional to, and in the same direction as, the acceleration of that mass.  In other words, force = mass times acceleration, or F = ma.  The mass stays the same, of course, so if the force increases or decreases so will the acceleration.  And if the acceleration increases or decreases, so will the force.

When an infielder catches a hard-hit line drive, he or she does it automatically.  The ball is still traveling along an almost straight line, and it may even still be accelerating.  What does the player do?  Stand like a statue, holding the glove where he or she knows the ball will hit it?  No.  That would hurt.

Instead, just as the ball hits the glove, the player moves his or her arm and hand back with the ball in the glove.  And if the ball is a real screamer, the player's whole body may move backward.  This is not because he or she is knocked back by the force of the ball.  What is happening is that the arm, hand, and body "give" a little bit, and this spreads the force of the ball hitting the glove over a greater span of time.  The point is that when a ball is caught, its speed must be reduced to zero almost immediately. By having the hand give on impact, the player is increasing, by a fraction of a second, the time of reducing the speed to zero.  The result is that the hand feels less shock and does not sting as much.

How Does a Player Throw a Ball to Make it go Farther?

Everyone knows that the acceleration due to gravity is with us all the time.  Drop a glass, and it will fall to the floor.  Gravity acts on any thrown object, too.  You know that your throw is eventually going to hit the ground, so if you want the ball to go farther, you have to keep it in the air longer, before gravity forces it to earth.

To do this, a player must increase the angle of the throw when he or she wants it to carry a longer distance.  Throwing to the plate from center field requires an arched throw, which will keep the ball in the air.  If it is thrown flat, even with the same amount of force, it will hit the ground sooner.

But that doesn't mean that the pitcher, when throwing a fastball the short distance to the catcher's mitt, can throw a flat ball.  He or she, too, must put some arch in it, although not as much as the center fielder.

As soon as the ball leaves the pitcher's hand, gravity begins pulling it downward.  Even the fastest pitcher's smokeball may drop as much as 2 ½ feet by the time it reaches the catcher.  That's why there is such a thing as a pitcher's mound.  Even so, the pitcher must always aim a little higher than the point where he or she wants the ball to go.  The pitcher knows that the ball will reach a point where its upward acceleration will be zero and the ball will start to drop.

Can Pitching be Learned?

Two researchers - Dr. Joe P. Bramhall, a team physician at Texas A&M University, and Dr. Charles Dillman, of the American Sports Medicine Institute - videotaped the deliveries of 48 major league pitchers, including Dwight Gooden, Nolan Ryan, Roger Clemens, and Dave Stewart.  They found out that, although these men have different styles, from a scientific point of view they still pitch in the same way. 
As far as the arm angle, elbow angle, shoulder angles, and balance were concerned, these men do the same things.

The purpose of the study was to teach young players the correct way to pitch and thus prevent them from making mistakes that might lead to injuries of the pitching arm.  The researchers came up with some rules:

 

1.         In the windup, the pitcher should be balanced at the top of the leg kick, coiled, and ready to spring forward.

 

2.         The length of the stride should be slightly less than the body height.  The left foot of the right-hander (or the right foot of that left-hander) should step directly toward home plate, moving to the side six inches or less.

 

3.         In the delivery, the back rotation of the shoulder should not be greater than 165 to 180 degrees.  The elbow should be flexed between 70 and 115 degrees.

 

4.         In the follow-through, a smooth, extended motion should slow down the pitching arm gradually.  The throwing shoulder should be aligned over the opposite knee after the release of the ball.  The upper body should be slightly flexed.

How is the Curveball Thrown?

            The most common effect of spin in sports is something that some people do not believe exists - the curveball in baseball.  You can still find some people who think that the curveball is just an optical illusion.

             The argument of whether a baseball can curve went on for so many years that scientists finally got into the act.  A long strip of lightweight tape was attached to a baseball.  Then a major league pitcher was asked to throw a curveball.  This is usually done by gripping the ball with the thumb and first two fingers only, with the inside of the thumb pressed against one of the seams of the ball.  The ball is then released with a sharp outward snap of the wrist.  And the friction between the ball and the thumb and fingers starts it spinning as it heads toward the plate.

            After the pitcher threw the ball, the scientists counted the number of twists in the tape.  This gave them the number of complete spins the ball had made.  Then the ball was placed in a wind tunnel and spun at the same rate.  The results indicated that it is possible to make a ball curve as much as 18 inches away from a straight line within a distance of 60 feet, six inches - the official distance from the pitcher's mound to the plate.  But the ball must be traveling about 100 feet per second and spinning at a rate of 1,800 revolutions per minute.

            Here is what happens: Any thrown object meets air resistance, almost as if there were a wall of air rushing to resist it.  But the spinning ball changes this solid wall of air.  Suppose that it is thrown by a right-handed, sidearm pitcher.  The spinning ball pulls air around it, but the pressure is increased on the right side (toward third base) and decreased on the left (toward first base).  It is spinning counterclockwise, in the same direction that a base runner runs around the bases. 

            The increased pressure on the right side runs into the wall of air that has piled up in front of the ball and causes the ball to veer to the left.  The ball is following the path of least resistance, as the air pressure is lower on the left side.  By the way, a curveball thrown by a sidearm left-hander would curve in the opposite direction, since the ball is spinning clockwise.

How is the Knuckleball Thrown?    

            The knuckleball, too, depends on air resistance.  It is a tricky pitch, and most catchers hate to be part of the battery with a knuckleball pitcher.  You never know where it is going - toward the dugout, toward the batter - moving erratically up, down, or sideways as much as 11 inches.  The reasons for this are the seams on the baseball and the pitch's slow rotation of as little as a half-spin between the mound and the plate.  That's against the typical fastball's eight-time rotation.

           The ball is held with the index and middle fingers (and the nails) digging into the ball just behind the seam's loop, with the other two fingers on the side of the ball and the thumb along the side of the underseam.  The drag is greater on the smooth, unstitched part of the ball, and the ball gets a deflecting push from the smooth side toward the stitched side.  As the stitches rotate, the force changes direction.  The less spin, the more deflection.

How Does a Bat Work?

            One of the common simple machines used in baseball is really a lever - it's the bat.  A lever is only a stiff bar arranged to turn around some fixed point.  The bar does not even have to be straight.  The fixed point is called the "fulcrum."  The function of the lever is to change the position of a load by applying a force.  In the case of the baseball bat, the fulcrum is at the small end, the force is at the point where you grip the bat, and the load is where the ball strikes the bat.

            A lot of people argue about what is the best bat.  There are those who stick with the old-fashioned wooden bat (including the professional leagues) and those who opt for the aluminum type.  And others think the only difference is the sound the bat makes when it hits the ball.

            But mechanical engineering students at Tufts University in Medford, MA, decided to do some investigating in 1991.  They used a bat that weighed 32 ounces, had a diameter of 2 ¾ inches (a quarter-inch thicker than standard wood and aluminum bats), and was made of materials that included wood, glass-fiber composites, resins, and fabrics.  It supposedly responded like a hardwood bat and had the durability of an aluminum bat.

            Developed by Steven Baum of Traverse City, Michigan, it was tested on the Tufts campus by the baseball team (only in practice), and the Boston Red Sox and Detroit Tigers used it in spring training.  The idea was to market the bat first to minor league teams, since wood bats have such a long tradition in the major leagues.

            One of the Tufts players claimed that the experimental bat had a bigger "sweet spot" than the usual bat.  But he pointed out that it stung more than an aluminum bat if he didn't hit the ball on that sweet spot.

What Makes a Player a Good Home Run Hitter?

             Everyone loves a home run hitter, and some years ago a study was made on several home run hitters.  You might guess that they had more going for them than mere strength.  James L. Breen, the head of the Department of Physical Education at Tulane University in New Orleans, found that there were mechanical traits that great home run hitters had in common.  He came up with his list by studying hundreds of major league batters and thousands of feet of film.  Finally, he concentrated on six of the leading home run hitters of the 1950's and 1960's: Stan Musial (Cardinals), Ernie Banks (Cubs), Hank Aaron (Braves), Willie Mays (Giants), Ted Williams (Red Sox), and Mickey Mantle (Yankees).

             Breen's list of mechanical traits was made up of four items:

 

1.         The center of gravity of the player followed a level plane throughout the swing.  (The center of gravity of a body is that point in the object at which the mass is evenly distributed in all directions.)

 

2.         From his stance, the batter was able to adjust his head from pitch to pitch.

 

3.         The length of stride was the same on all pitches.

 

4.         After contact with the ball, the upper body position was in the same general direction as the flight of the ball.

            Breen also found that if the body is kept level at the center of gravity, the bat will be swung in a level path.  This is the most effective kind of swing.  Having the proper head position lets the batter watch the pitch for the longest amount of time.  This is especially important when the pitch is a breaking ball, such as a curve or a sinking fastball.  The longer the batter follows the pitch with his eyes, the better he will be able to see the point at which the pitch breaks. Also, by holding his head properly, the batter can reduce the angle at which he sees the ball - which means he will see it more clearly.  

            If the batter keeps his arms straight when he is swinging, he can bring the bat around much faster than if his arms are bent.  Hitters who bend their arms tend to pull the handle of the bat around as they swing.  That messes up the lever action of the bat.

            Quicker bat speed, along with the ability to watch the ball for the longest period of time, helps the batter to judge more accurately where the ball will be when it is hit.  The average batter, looking at a pitch that is traveling 80 miles per hour, has to start his swing when the ball is about 33 feet from the plate.  The home run hitters in this study were able to wait until the ball was only 24 feet from the plate.

            The speed of the swing from the time the bat was swung until contact was made varied in this group of hitters.  Musial's time was 0.19 seconds, and Williams' time was 0.23 seconds.  An average hitter's speed would be about 0.28 seconds.

            Each of these hitters, although their batting stances were different, took the same straightforward stride as he swung.  And each had a similar follow-through motion.   As the bat was swung, they pushed off on the back foot, putting all of their force in one direction.  Their weight was taken off the back foot when contact was made with the ball, which shifted the center of gravity of their bodies in the direction of the ball.  Poorer hitters often shift their centers of gravity backward by putting their weight on the back foot.  This results in a loss of power.  Gravity, stride, straight arms, head position - whatever these men were doing, they obviously were doing it right.

More on the Science of Hitting

            You can forget your thinking caps.  Baseball, with its many strategies, is often thought of as being a thinking person's game.  But it may be that the smartest hitters leave their brains in the dugout. Yogi Berra's statement that he couldn't think while he hit might have been one of the smartest things that that baseball analyst ever said.

            Tom Hanson, a baseball coach at Skidmore College in Saratoga Springs, New York, wrote his doctoral dissertation on the thinking hitter.  He claimed that batters simply have no time to think during the four-tenths of a second it takes a good fastball to go from the pitcher's hand to the catcher's mitt.  Hanson contended:  "If you are thinking, you are in trouble.  Information should go from your eyes to your hands and bypass the brain."  The best hitters, he found, are the most relaxed hitters.  "The key is not to get tense and anxious.  That tightens the muscles and a tight muscle is a slow muscle."

             And Judson Berkey, a senior at Thomas Jefferson High School for Science and Technology, designed a computer model in 1991 to simulate the flight of a baseball.  He had come across a study by scientists at Tulane University that assumed that the spin of the ball does not decrease as it travels through the air.  That didn't make sense to Berkey, who pointed out that "the ball doesn't come down whizzing through the air.  It's coming down pretty soft."

            From his computer work, he theorized that to launch a ball the farthest, a batter should connect with the ball at an angle between 32 and 40 degrees from the horizontal and apply as much backspin as possible.

            As he said, and you might have to go to a physics teacher to get this translated: "Previous research stated that the vertical launch angle of the baseball from the baseball bat that maximizes the distance the ball travels decreases considerably as the magnitude of the spin increases.  These results, however, neglected two aspects of a baseball in flight.  They neglected to consider the variation of the coefficient of drag with the velocity of the baseball and the spin reduction due to the torque that is produced by the spin of the baseball."

            Finally, Dr. Paul Legace of the Massachusetts Institute of Technology noticed something after the roof behind home plate in Boston's Fenway Park was torn down following the 1988 season and replaced with a higher one.  Balls that once soared into the stands were falling short.

            He had students in his aeronautics and astronautics courses build a wooden model of the ballpark.  The model was then put in a wind tunnel for tests.  He found that the higher stands created a vortex, or backwind, that could cause a fly ball hit to center field to travel about ten feet less.