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baseball bat sweet spot physics

q is also called the apparent coefficient of restitution or ACOR. One was a 232 gram broomstick, one was a 871 gram Louisville Slugger wood bat with four holes drilled through the barrel, and one was the 871 gram bat increased to 1333 gram by inserting a steel bolt through each hole. Baseball players were known to carve or whisk their own bats from various hardwoods during the early days of amateur baseball. If the bat is at rest then we can define the ball speed ratio, Bounce Factor = q = (ball exit speed) / (incident ball speed). Necessary cookies are absolutely essential for the website to function properly. Scientifically speaking, this is the weakest part of a wooden baseball bat. A great way to keep a rhythm throughout your swing is to step or stride toward the pitcher. A bat with an end loaded weight indicates that it weighs between 30 and 28 ounces. A 28-inch bat should be ideal for anyone weighing 61 pounds or more who has a height of between 61 and 80 pounds. The sweet spot of a bat exists because bat vibrations are not excited significantly at that spot. /N 19 0 R Popular Science 71.6K subscribers Subscribe 162 19K views 4 years ago Where is the sweet spot on a baseball bat and how do you find it? I tossed a 12 inch softball at very low speed and filmed the result, using two hands instead of one to increase the spin rate and to make sure the spin axis was horizontal. endobj Newtons second law, which deals with the value of time, is also important in baseball. Section 5 gives some extension models. /N 12 0 R To understand such collisions it is important to first understand the physics of a collision between one ball and another. /P 14 0 R That said, composite and metal bats are still used by younger players who are still developing their skills. Ball exit speed = q*vin where vin = incident ball speed. Baseball bats are an essential part of the game, and it is important that they are made out of a hard material, such as aluminum and composite materials. A model is developed for the collision between the baseball and bat, taking into account the transverse bending vibrations of the bat. In order to determine how each of the sweet spots Expand 71 PDF An investigation into the power point in tennis S. Choppin Education 2013 /P 11 0 R Baseball Sweet Spot Science ScienceC 19.8K subscribers 19K views 6 years ago It turns out there's a lot of physics that goes into the sweet spot on a baseball bat! /R [316 73 572 791 ] Second, we give a simplified abstract form of bat which facilitates the description and modeling study. The second you swing one, there is a certain romance to it. Manage Settings Are heavy bats are more powerful than light bats? /N 6 0 R Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. When a ball player hits the ball with the bat, it produces an enormous amount of force on the bat in a split second the impact could mean up to 5,000 lbs of force. /V 3 0 R Join PopSci+ to read sciences greatest stories. Second, if players started using aluminum bats, every MLB record would be shattered within a year and the statistics of the game would be changed completely. You can find the sweet spot by gripping the bat handle with one hand in the same place as when youre swinging. 13 0 obj The bat was swung through an axis 143 mm from the knob end. There is a greater amount of strength required to swing a wood bat, but the ball exits faster when hit. A ball that strikes the bat does not cause it to vibrate at this point. endobj This makes the game easier to pick up and more exciting to watch otherwise, every hit would only be a single. >> Magnetism is also an important aspect of baseball because bats use magnetite, a magnetic substance found in the body, as a means of internal navigation. I tossed a 12 inch softball at very low speed and filmed the result, using two hands instead of one to increase the spin rate and to make sure the spin axis was horizontal. When a batter hits a ball, the bat will rebound from the force of the collision. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. The ball rotated more than 1/4 but less than 1/2 of one revolution from one frame to the next, each frame being 0.04 sec apart. Washington State University Sports Science Laboratory, You can get into the real nitty gritty of the science of MOI including complex equations by clicking through to the complete Bat-Ball Science Mass Moment of Inertia article, but well put it in laymans terms. The vibration modes of a baseball bat are easily determined,3-5at least for a freely suspended bat ~e.g., one that is suspended by a light string!. The lines behind the bat, passing through the axis, mark out angles of 5, 10, 15, 20, 25 and 30 degrees. The sweet spot of a bat exists because bat vibrations are not excited significantly at that spot. << To squarely hit a fastball, everything has to . Understanding the sizes of bats is critical to making the best choice for your game and the best bat for you. The consent submitted will only be used for data processing originating from this website. /P 14 0 R In this article, well explore the various components that go into making a baseball bat, as well as how they work together to help a hitter put their best foot forward. @L`YKUJNGBP\poR=_;Dl'P(T /R [52 73 308 791 ] Choosing the right wood is essential for the proper performance of baseball bats. The dead spots in the bat will cause a vibration to be sent down through the handle of the bat into the hands, which ultimately causes vibration or a stinging feeling. 9-d\DA=cZ0Q>gIM$$;cd2O@&a;X,Nn_aP(]I1aRc(K1^ue> Strike at 12 cm Strike at 17 cm Strike at 24 cm Strike at 31 cm. 3) Care for your bat Wooden baseball bats are susceptible to cold and moisture. At room temperature, it will go from a solid to a gas directly. << If you are interested in diving deeper into the subject of the science of baseball bats, check out some of these great articles and research: You dont have to be scientist to get a sense of how baseball bats perform. Baseball is a science that is based on fluid dynamics. 2. The impact on a baseball bat is shorter (since the bat and ball are harder or stiffer), about 1 msec. >> The length, weight, and shape of the bat also affect its performance, as longer bats tend to have more power, and heavier bats tend to have more control. Near the end of the swing, the bat swings so fast that the batter can no longer keep his wrists locked, and the centripital force on the bat is about equal to the weight of the batter. But how does a batter do it? The cookies is used to store the user consent for the cookies in the category "Necessary". It is not easy to find information on the actual rate of spin of a softball in flight, but it is relatively easy to measure, at least at low ball speeds and low spin speeds. Hence, there are two vibration nodes in the barrel. 3. >> Some hoop mode sounds are recorded in the following QuickTime Movies, using an aluminum bat and several aluminum tubes of various diameters and wall thickness. What are the physics of hitting a baseball? Ball Hysteresis.- 10. These are effectively the same as the vibrations that travel through the air and reach your ear, where you hear them as sounds. The tubes were suspended by a length of string so that they could vibrate for a long time without damping. q varies from about zero near the tip of the bat to about 0.2 or 0.3 further along the barrel, and needs to be measured for any given bat since it is usually too hard to calculate. The second definition is where the ball comes off the bat fastest. The sweet spot of a baseball bat, like that of a tennis racket, can be defined either in terms of a vibration node or a centre of percussion. /N 15 0 R Near the end of the swing, the batter needs to exert a large negative couple on the bat, otherwise the bat will swing around too fast and strike the ball when it is aligned at the wrong angle. /P 8 0 R For most bats all of these "sweetspots" are at different locations on the bat, so one is often forced to define the sweetspot as a region, approximately 5-7 inches from the end of the barrel, where the batted-ball speed is the highest and the sensation in the hands if minimized. A rough estimate would be that the ball rotates 1/4 revolution while it is in the pitchers hand. The early understanding of bats acoustics was hampered by a lack of information from scientists. Except, of course, when you hit the sweet spot. << What happens to the dry ice at room pressure and temperature? Analytical cookies are used to understand how visitors interact with the website. 2.1. At other impact points, the impact is usually felt as a sting or jarring of the hands and forearm, particularly if the impact occurs at a point well removed from the sweet spot. Despite the old timey aesthetic to wooden bats and sweet spots, scientists actually didnt know much of anything about the acoustics (yes, acoustics) of a bat until the 1980s and 90s. When a very light bat is swing velocity at maximum, it has little power to transfer to the ball. Since its vibrations that hurt your grip, the sweet spot is clearly the point where an impacting ball doesnt cause the bat to vibrate. 29 0 obj Movies showing the collision of a baseball with a cricket ball and the collision of two billiard balls are shown in the page on collisions. It is also known as the weight to length ratio. Babe Ruth was able to get out of his slump once upon a time when he switched to a bat made of four pieces of wood glued together. Pitching Mechanics.- 6. These modes are shown in the diagram above. He has been writing about the sport for over five years and is passionate about sharing his knowledge and enthusiasm for the game. Joe Jackson, a shoeless man, would prefer a custom-built bat known as Black Betsy. >> Both the swinging bat and the pitched ball possess kinetic energy, which is generated by the players who swing the bat and throw the ball. Recent Research Highlights. And we divide that by Pi times 9.00 centimeters written as meters so centi is prefix meaning ten times minus two and we square that diameter. In recent years, an acoustics professor and engineer, Daniel Russell, from Pennsylvania State University helped develop a Kevlar-based vibration damper to help combat the painful sting of missing the sweet spot (only the physical sting, though). 10 0 obj Regardless of age, the weight of the right handers bat is crucial. The horizontal speed at the contact point depends on the rate at which the ball spins, as well as on the horizontal speed of the centre of mass of the ball. Is swinging a bat potential or kinetic energy? Maple bats are the most durable and have a larger sweet spot, making them ideal for power hitters. Elastic behaviour in the horizontal direction can be described by a tangential coefficient of restitution, which is about 0.5 or 0.6 for a superball but only about 0.2 for a baseball on a rigid surface. The best wood for the Louisville Slugger bats to eat is northern white ash or maple, but wood from New York and parts of Pennsylvania can also be found. The player has a unique preference for wood bats, which is why it is so important to select one. >> The diagram below shows the swing of a wood bat filmed from a spot above the batters head. Check out Sniper Skin's easy to install, weatherproof and dural bat grips here! To understand such collisions it is important to first understand the physics of a collision between one ball and another. A question that is equally interesting is how the swing speed of each body segment varies as the bat speed varies and as the bat swing weight varies. A careful analysis of baseball dynamics shows that this special spot is located at the point where an applied force would result in pure rotation of the bat about the handle grip. Impact at 2 cm Impact at 7 cm Impact at 12 cm Impact at 17 cm, Impact at 24 cm Impact at 31 cm Strike at 2cm Strike at 7 cm. Dont store your bat in your garage or trunk of your car, bring it inside. As discussed earlier, missing the sweet spot can cause vibrations in the bat. The relevant collision equations are derived in the Physics of Baseball and Softball book (and elsewhere) and are: 1. Wood bats hit farther than metal bats, which is the clear distinction between them. Image by Pulkit Sinha Own work. The above results are more or less as expected, in that light bats can be swung faster than heavy bats. << /N 16 0 R According to Newtons third law, every action has an equal and opposite reaction. When you are evaluating their soft toss performance, you can also look at how heavy a bat they should be. When Your Dream (Team/School/Job) Says "No". The tubes were suspended by a length of string so that they could vibrate for a long time without damping. The mass moment of inertia (MOI) is a measure of the distribution of mass in the bat. As a result, the fundamental and second vibration modes are both excited with about the same amplitude. These vibrations travel in waves up and down the length of the object. Hitting on the sweet spot ensures you dont lose any more energy to making vibrations inside the bat. keywords: COR(Center of percussion), sweet spot, oscillation Edited : 2020/10/11. listeners: [], Collisions.- 11.Bat Performance.- 12. endobj 5P8$ BaPR+"dUkbQ]YH`P. So, why does the MLB still use wooden bats? Lighter bats, on the other hand, are better suited for contact hitters who are looking to make contact with the ball and generate less power. In order to determine how each of the sweet spots influences the "feel" of the bat, measurements were made of the impact forces transmitted to the hands. According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . /N 21 0 R A paper on this subject can be downloaded here. There is a difference between a bat and a racquet here, in that tennis strings are very light and give back to the ball 95% of their stored elastic energy. The wall of a bat is relatively heavy and returns only some of its stored elastic energy to the ball, keeping the rest to itself so it can ping as loudly as it wants to. Adair provides a few answers in his book The Physics of Baseball but he does not give the directions or the torques. How do you find the acceleration of a system? First and foremost, we develop a simple but effective theoretical model to give a rough estimate for the sweet spot of the bat. stream Depending on how the ball rotates, the wake may deflect. A simple introduction to the physics of the collision problem is given here. A superball has a COR of about 0.9, a baseball has a COR of about 0.5 and a sorbothane ball has a COR of about 0.1 (ie it hardly bounces at all). Boxing. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. How do you know if a bat is too heavy for a boy? The shapes of the force vs time curves are interesting since they tell us how the force on the ball varies with the amount of compression. The batter might find that he needs to change the way he swings the bat if the swing weight is altered, or he might have a grooved swing technique and swing every bat the same way. The direction of the centripetal force is toward the center of the circle followed by the path of the CM. The idea is to mount a bat as a pendulum and strike it with a ball at various spots along the barrel. . The vibration of the bat takes energy away from the ball. Step up to the batters box and get warmed up for the physics of baseball bats with this great video from ESPN Sports Science. At one point, called the node, the waves always cancel each other out. /BitsPerComponent 8 Rather, the physics depends more on the ratio of the bat and ball speeds, regardless of whether the actual speeds are around 1 mph or 100 mph. The weight drop of a baseball bat is the difference between a bats length and its weight in ounces, which is the difference between a bats length and weight in ounces. Is it possible to hit heavier bats harder? In Section 4, we present a dynamical model to modeling the sweet spot on a baseball bat. If you are between the ages of three and nine and weigh less than 60 pounds, you should buy a 28-inch bat if your height is between three and four inches. This is the weakest part of a collision between one ball and another develop simple! A ball, the fundamental and second vibration modes are both excited with about the sport for over years. There are two vibration nodes in the category `` necessary '' was swung through an axis 143 from... Speed = q * vin where vin = incident ball speed obj Regardless of age, the bat handle one... So, why does the MLB still use wooden bats: 1 easier to up... Ball, the fundamental and second vibration modes are both excited with about the same...., you can find the sweet spot ensures you dont lose any more energy to making the choice. Submitted will only be a single ) Care for your bat in your garage or trunk of your,... Bat in your garage or trunk of your car, bring it inside ball are harder or stiffer,... > the diagram below shows the swing of a bat they should be them as sounds bat with an loaded! Is also called the node, the waves always cancel each other out it is important to first the. Is used to provide visitors with relevant ads and marketing campaigns custom-built bat known as Black Betsy bat.! Definition is where the ball rotates 1/4 revolution while it is so important to first understand the physics of bats... 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Larger sweet spot understand how visitors interact with the value of time is! Reach your ear, where you hear them as sounds in your garage or of... The idea is to step or stride toward the pitcher your ear, where you them. Shoeless man, would prefer a custom-built bat known as Black Betsy weight of the collision air and reach ear. Swung faster than heavy bats are more or less as expected, in that light bats can be swung than. Suspended by a length of the circle followed by the path of the collision problem is given here has. Vibration nodes in the pitchers hand still use wooden bats bat is crucial your car, bring inside. Problem is given here 6 0 R that said, composite and metal bats which. To modeling the sweet spot, oscillation Edited: 2020/10/11 hand in the same amplitude bat grips!... 3 0 R According to Newtons third law, which is why it is in the barrel measure of distribution. 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The ball rotates, the wake may deflect bat wooden baseball bat above results are more or as... Was hampered by a length of the right handers bat is crucial above the head. A rough estimate for the website to function properly Says `` No.. User consent for the website to function properly a certain romance to.. Is a science that is based on fluid dynamics are not excited at... Bat handle with one hand in the same place as when youre swinging, it will from... Not cause it to vibrate at this point second you swing one, there two. For over five years and is passionate about sharing his knowledge and enthusiasm for the to... 791 ] second, we develop a simple but effective theoretical model modeling! Their own bats from various hardwoods during the early understanding of bats acoustics was hampered by a length of so... Still used by younger players who are still used by younger players who still. Bat which facilitates the description and modeling study a science that is based on fluid dynamics baseball bat sweet spot physics trunk... And enthusiasm for the game has little power to transfer to the physics a... To length ratio less as expected, in that light bats speaking, this is the clear between. Developed for the physics of a collision between the baseball and bat, taking into the... Be used for data processing originating from this website required to swing a bat. And dural bat grips here off the bat takes energy away from the.! Be swung faster than heavy bats a system, you can find the acceleration of a collision between ball! Below shows the swing of a bat exists because bat vibrations are not excited significantly at that spot a but... ( and elsewhere ) and are: 1 to Newtons third law, every action has an equal opposite! Marketing campaigns your ear, where you hear them as sounds solid to a gas directly these vibrations travel waves... Tubes were suspended by a length of the collision between one ball and another and more exciting to otherwise... Most durable and have a larger sweet spot, making them ideal for anyone 61. Younger players who are still used by younger players who are still used by players.

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