The Lurking Influence of Batted Ball Spin

Dodger Stadium
Gary A. Vasquez-USA TODAY Sports

If I may, I think the uncertainty regarding this season’s offensive environment has made us a bit paranoid. Are hitters lagging behind pitchers due to an irregular spring training? Is the ball not traveling like it once did because it’s been replaced yet again, or is the mass introduction of humidors to blame? Or worse, has MLB introduced multiple balls into the game, some of which are being used in certain games to boost action or influence outcomes?

That last theory has been floating around my Twitter feed for a while now. I’m not going to discuss whether it’s true, but I brought it up because supporters of the multiple ball theory will often compare two batted balls with near-identical exit velocities and launch angles. One ends up traveling more than the other, despite all the indications that it should not. Aha! Something must be up.

In response, a lot of people have suggested batted ball spin as an explanation. Maybe one ball came off the bat with backspin and the other came off with topspin, which would drag the ball down as it traveled through the air. Unfortunately, since data on batted ball spin isn’t available on Baseball Savant, this might seem like a dead end. Don’t worry, though: I had some leftover Trackman data on 2021 NCAA Division I baseball games from a piece that Eric Longenhagen and I collaborated on during last year’s Draft Week, and they contain mostly complete readings on the spin of a batted ball. Could we use collegiate baseball to learn about the odds and ends of batted ball spin, and what it tells us about hitting?

You bet. But first, I built a quick and dirty generalized additive model to estimate how far a ball should travel using just exit velocity and launch angle; let’s call it xDistance. If there’s a positive (or negative) difference between a ball’s actual and expected distance, that could suggest the influence of batted ball spin. Because displaying the more than 30,000 balls in the dataset is a headache, I settled on a subset that seemed interesting: fly balls that barely qualify as being “hard-hit” — balls that would end up a home run with a little extra distance but are a warning track fly out otherwise. In such cases, spin can often be the deciding factor. But it’s very much unclear which outcome will show up, as the graph below shows:

Since Trackman data doesn’t provide batted ball spin axis, it’s impossible to distinguish between backspin and topspin. Only raw spin rate is available, which forms the x-axis. Still, there are a ton of takeaways from this single graph. You can see from the wide range of actual minus expected distance differentials that the same amount of spin can have a drastically different impact on the ball’s flight. Together with wind speed, direction, and the weather that day, some 2,000 revolutions per minute are capable of adding upwards of 40 feet — or subtracting it.

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Also, while raw spin rate doesn’t show a correlation with actual minus expected distance in small doses, it’s past the 3,000 rpm threshold that a negative relationship begins to form. Why is that the case? Too much topspin isn’t great news for a ball attempting to travel far, but so is too much backspin; that just keeps the ball hanging in the air for a long time, allowing fielders to track it down. The parabolic path of a batted ball isn’t solely determined by launch angle; spin matters, too. Save for that one eyesore of an outlier (which is possibly a misread), the vast majority of balls in the 4,000-plus rpm range are in the red when it comes to actual minus expected distance. They’re less common, but they do exist, and it isn’t hard to imagine that two seemingly identical batted balls can take on divergent flight paths.

Let’s consider individual hitters as well. As this FanGraphs community post demonstrated years ago, a hitter’s fly ball rate is strongly correlated to the amount of distance he loses on his batted balls. It sounds counterintuitive, but as tennis shows, it’s actually an uppercut swing that provides the interaction necessary to generate topspin.

One aspect that article doesn’t touch on, however, is the day-to-day inconsistency in the batted ball spin that a hitter creates. This is true of even the most extreme hitters. Take Tre Morgan for example: a first baseman at LSU who has the sixth-lowest fly ball rate (27.7%) and the second-most distance gained on his batted balls (11.8 feet) among his Division I peers. Here’s a simple graph showing Morgan’s actual minus expected distance in each game he played in April:

Owing to Morgan’s fondness for grounders, most of the bars here are pointing north. But there’s a lot of variation as well, with certain games ranging from as little as four feet of added distance to a whopping 40 in the last one of April. Other factors also interfered with how these balls traveled, but this still goes to show that though individual hitters do have tendencies, they appear in the aggregate.

Next, let’s take a look at Troy University third baseman Drew Frederic, who unlike Morgan has a high fly ball rate (49.4%) and the second-most distance lost on his batted balls (-13.3 feet):

Frederic’s bar graph looks like a modern art masterpiece more than anything — he didn’t play much in April — but I stuck with the month for consistency’s sake. Again, the bars vary in direction and length, with some games more at the whims of batted ball spin and miscellaneous elements than others. We can assume Frederic’s (and Morgan’s) swing didn’t change all that much throughout the month, meaning there’s a limit to how much hitters can control. With enough practice, one could certainly learn to hit the ball further. But keeping the spin imparted to it consistent? That’s a whole ‘nother problem, it seems.

What about someone not at either far end of the launch angle spectrum? Meet Gray Betts, the Liberty University catcher who’s about smack-dab average in fly ball rate (39.7%) and distance added (1.4 feet). Here’s the same graph as the ones before using his data:

Huh, that’s weird. It looks like Betts’ batted balls are a lot wilder than Morgan or Frederic’s. Check out the mid-month swing from negative to positive and then to -20 feet of distance again. Are average hitters by fly ball rate more at the whims of batted ball spin?

To answer that question, I split the hitters I had into four different groups according to their respective fly ball rates, then calculated the standard deviation in actual minus expected distance of each group. Since standard deviation measures how close the values are to the mean of the set, a larger one should indicate back-and-forth jumps between backspin and topspin.

The results suggest “no” as an answer. There’s hardly a difference between the hitters with standout batted ball tendencies and the ones with normal tendencies. The distribution of individual hitters’ actual minus expected distance is fairly normal, too. In other words, I didn’t find any evidence of “batted ball spin consistency” being an actual skill. By the way, Betts ranks 176th in standard deviation among the 176 hitters in my sample — dead last. It turns out that his four-game mid-April parkour doesn’t happen in any other month, or even week for that matter. This is yet another reason to grade the eye test using data; our eyes are terrible!

It’s time to list the caveats, of which there are a few. For one, Trackman is nowhere near as accurate as Hawk-Eye, which is Baseball Savant’s source. Each school has its own setup, resulting in various discrepancies. That also resulted in a couple hundred rows discarded due to missing values or their apparent weirdness, such as a launch angle that’s an entire standard deviation above even the normal outliers. Also, I found a curious lack of batted balls below zero degrees, which likely affected the calculations of hitters’ fly ball rates. Most importantly, the inability to distinguish between backspin, sidespin, and topspin made it difficult to figure out certain relationships, such as the per-rpm benefit of backspin or the possible trade-off between different types of spin.

Lastly, it’s good to remind ourselves that batted ball spin isn’t the only variable worth considering. Not only are there the aforementioned weather-related effects, but there’s also batted ball direction: pulled, straightaway, or opposite. How is that relevant? We already know straightaway or opposite fly balls have a harder time adding distance than their pulled counterparts. But if the baseball this year really does have a higher drag coefficient than last year, it would, in theory, add an extra degree of difficulty. That also means the same combo of exit velocity and launch angle is no longer as reliable as before. We’ve been used to a drag-less baseball for a while now; it may be time to adjust our expectations.

But overall, the point is this: If you’re wondering why two balls with similar exit velocities and launch angles don’t travel the same distance, batted ball spin may have a lot do with it. There really are cases where the ball loses 40, 50, or even 60 feet of expected distance. And as we explored earlier, other than a general penchant for presumed topspin or backspin, hitters don’t seem to have much control over it on a daily basis. While the numbers smooth out in the end, some days a hitters will impart too little spin, and on other days he’ll impart too much of it. With all this in mind, it’s plausible a dramatic gap in distance appears in the same game between different hitters. It’s not on any Savant leaderboard (yet), but batted ball spin is most certainly a thing.





Justin is an undergraduate student at Washington University in St. Louis studying statistics and writing.

29 Comments
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CC AFCMember since 2016
4 years ago

Can the physics knowers help me out as to what causes fly balls to have different amounts or types of spin, especially if you’re talking about those hit at equal launch angles? I’m guessing it has to do with the angle the pitch came in, the spin of the pitch, and the angle of contact (pull/oppo) but I’m purely speculating and I suspect someone(s) here knows more than me

Last edited 4 years ago by CC AFC
The Stranger
4 years ago
Reply to  CC AFC

All of those, I think, but also (maybe even mostly) the swing plane. As Justin noted, an uppercut swing tends to generate more topspin, while a flatter swing plane would give a bit more backspin. So that’s largely driven by the batter’s swing mechanics, but also affected by pitch location and the path the bat has to take to make contact.

I imagine somebody in a MLB team’s analytics department has done a deep dive on this and modeled batted ball spin and expected batted ball results for various pitch types, pitch locations, and swing mechanics. From where we sit, all the variation in batted ball spin and lost/gained distance mostly looks like noise because we can’t see all the correlations, but I wouldn’t be shocked if there’s actionable information in there like “Player X, don’t be afraid to swing at a curveball at the bottom of the strike zone, because if you make decent contact it’s going to carry a ton.”

mgwalker
4 years ago
Reply to  The Stranger

Coefficient of friction at ball/bat interface is going to matter too.

JoserMember since 2021
4 years ago
Reply to  CC AFC

It’s often helpful to strip things down to the simplest situation (fewest variables) and then build it back up again. Imagine a 2-dimensional disk, with no spin, hanging in space. Imagine a second disk striking it; this second disk has a vector of motion (visualized as an arrow that passes through the center of the disk, indicating the direction and magnitude of that motion). If the motion vector of the striking disk passes through the center of the struck disk, no spin is imparted; if the vector passes below the center, some backspin is imparted, whereas if the vector passes above the center, topspin is imparted. The amount of spin will be proportional to how off-center (or “oblique”) the collision is. And, separate from that, the initial direction the struck disk takes after the collision will also be affected by the vector of the striking disk and how off-center or oblique the collision was. If you’ve ever played air hockey, you already have a sense of how this works.

Now start adding back in the variables: if the struck disk is already spinning, the offset nature of the collision will add or subtract to that spin*; the collision is not instantaneous, and the disk deforms during it, creating friction that will have more or less effect on imparting spin; and of course all of this is happening in three dimensions with collision involving a tapering cylinder and a rough sphere that is already spinning around multiple axes. It’s complicated — though if you’re just thinking about spin that imparts more or less carry on the ball, and you’re not an outfielder trying to track a ball slicing or hooking across the field, you can ignore a lot of that.

*However, Dr. Alan Nathan has found, “For a given angle of incidence, the scattered spin is nearly independent of the incident spin;” — in other words, the spin the pitcher put on the ball doesn’t matter and essentially all of the spin after the bat-to-ball collision was the result of the collision.

If you want to see an illustration of this with a real non-spinning baseball hitting a bat and having spin imparted as a result of the off-center (“oblique”) collision, have a look at the high-speed video Dr. Nathan posted on his page (and then, if you want to dive deeper, read the paper and slides he links on that page). Note that this work was a decade ago and there has been a lot of analytical progress (by him and others, including some teams) since then.

Last edited 4 years ago by Joser
Trevor May Care Attitude
4 years ago
Reply to  Joser

This is a really helpful way to imagine the collision of bat and ball. Thanks!

RonnieDobbs
4 years ago
Reply to  CC AFC

The last thing you need are the physics powers. It matters how you hit the ball and it can happen on any pitch in any location. Some guys have a great ability to backspin and some don’t.

ScoreboardMember since 2016
4 years ago

I don’t understand how one can look at your initial scatterplot and not see Australia

Kenny OckerMember since 2020
4 years ago
Reply to  Scoreboard

There’s even a Tasmanian outlier!

Mahoney
4 years ago
Reply to  Kenny Ocker

Crikey, Norfolk Island’s there at the lower right corner!

(Though it looks like one of the Solomon Islands snuck into the map)

Dick Monfort
4 years ago
Reply to  Scoreboard

No way that scatter plot can be Australia. It’s on the bottom half of the world, so all those dots would just fall off.

Ruben Amaro Jr.
4 years ago
Reply to  Dick Monfort

Dumbass.

JoserMember since 2021
4 years ago
Reply to  Scoreboard

…and each of the dots are deadly spiders. Just kidding. Some are venomous snakes.

ScoreboardMember since 2016
4 years ago

Great piece Justin, really great framework of creating xDistance and then using other variables to see if we can explain the residual error.

However it feels like we can’t actually disprove the two-ball theory, right? We don’t have the necessary spin axis data that would allow us to explain the residual error that people are finding on Twitter.

I’m not saying they are correct (there are a multitude of lurking variables that could be the cause), but it would be nice to rule in/out the impact of spin.

dukewinslowMember since 2020
4 years ago
Reply to  Scoreboard

It appears to me that spin is essentially randomly distributed with no apparent bias. So there’s no systematic differences in spin across seasons, and it’s not an explanation for depressed offense rates

jts19Member since 2020
4 years ago

Awesome, awesome article. Great work

MatthewMember since 2019
4 years ago

As a tennis player, I’m really into this article.

bosoxforlifeMember since 2016
4 years ago
Reply to  Matthew

As a professional golfer I can attest to the importance of spin on the carry and distance a ball carries. I have played the game, at a relatively high level, for over 50 years and have experienced the evolution of the science that has produced the modern explosion of distance. The first place to start is about 1970. Until then the game was played with a ball similar in design to a baseball with a rubber core surrounded by a tightly wound string and covered by a natural rubber called balata. This cover was dimpled in a pattern that hadn’t changed since balata covers were first introduced in the early 20th century. The first changes came almost simultaneously with the introduction of the first solid balls by Faultless, and, at around the same time, the first two-piece ball with a solid core and a separate cover, the Spalding Top-Flite hit the market. This ball revolutionized the game with totally different playing characteristics. This ball travelled much farther and spun much less. The trade-off was that it also was more difficult to control on the delicate shots around the green. Over the past 50 or so years great advances have been made and the modern ball can do everything from travelling great distances to doing everything but a tango around the greens. I would have to believe baseball would be wise to look into a solid ball, with a cover with seams, which can be produced to very exact tolerances. At the same time the ball companies began to experiment with different designs to the dimple pattern. These were developed with wind tunnel tests and computer assistance to come up with today’s missiles which have only a passing resemblance to what I played with in the 50’s and 60’s. This has a direct relationship with the seams on the baseball. It is clear that any change in the seams has to have a direct effect on the flight characteristics of the batted ball. Is that what is happening now? There are people searching for that answer, as I write, with the latest information available.
This leads to the direct relationship between spin and distance. Golf began to experiment on this relationship in the 1980’s and soon found out that excessive spin when applied to the same launch angle and initial velocity was a real bummer. The ball flight, which was considered the proper one during the days of wooden heads and balata covered balls, was one that started relatively low then as the spin imparted the lift, this is physics of course, began to rise at the expense of distance and fall to earth. This was recognized 30 years ago in golf and higher launch angles with less spin changed the game dramatically. Baseball only realized this relatively lately but when it did the sinker was suddenly replaced by the high heat because hitters found out that they could elevate the low pitch much easier than the fast ball at the letters.
I was a golfer but baseball has been a passion since that fateful day in August of 1948 that I first set foot in Fenway Park, walked up the tunnel and laid eyes on the Green Monster. I hope the game can find the balance again between offense and defense before long and, in my opinion, moving the mound back is only answer to velocity.

asdruballsMember since 2020
4 years ago

I’ve been wondering about this very subject when it comes to xWOBA. I’ve anecdotally noticed a lot of big differences between xWOBA and wOBA and am wondering if that is a league wide trend, and if so, if hit RPM and drag are the culprits.

hazelrah
4 years ago
Reply to  asdruballs

Yes it is league wide, there’s been a lot of writing about xSLG and xWoba overestimating (including on fangraphs)

RonnieDobbs
4 years ago

Welcome to the basics of hitting! I find it very interesting that the progressive baseball community doesn’t look at this as realizing that the data which you have doesn’t mean a lot, but as exciting new insight.. that everyone who has ever hit an actual baseball already understands. The launch angle revolution and all of that science that we trusted is why hitting in is shambles in MLB. Everyone has always know than pulling balls and hitting them in the air is bad hitting, but data! Hitters are just worse because they have regressed by leaps and bounds over the past ten years.

Bud SmithMember since 2020
4 years ago
Reply to  RonnieDobbs

Why do you even spend your time reading articles here if you’re so opposed to data?

Travis LMember since 2016
4 years ago
Reply to  RonnieDobbs

^ The fangraphs equivalent of “launch angle? It’s all about the barrels, dude” story from Eno Sarris.

If you don’t want to understand the game through numbers, maybe a different site would prefer your contributions? Because I guarantee you do not understand this topic as well as you think… in fact – do you play in any fantasy leagues with like minded people and are looking for an opening?

Alan NathanMember since 2025
4 years ago

Some comments. The primary reason why fly balls hit with launch angles in the 25-30 deg range do not travel as far if the spin is too high is because the air drag on the ball increases with increasing spin. So two forces are fighting each other: The increased lift with backspin (which increases distance) get overwhelmed by the increased drag (which decreases distance) once the spin exceed 2500-3000 rpm. The other factor is sidespin, which adds to the total spin without providing any additional lift, only increased drag. Therefore sidespin almost always decreases distance. Since sidespin is most prominent for balls hit to LF or RF, balls hit in that direction do not carry as far as those hit toward CF. I wrote about this a while back: http://baseball.physics.illinois.edu/carry-v2.pdf. Finally it is very difficult for a ball hit at 25-30 deg to have topspin.

hazelrah
4 years ago
Reply to  Alan Nathan

Alan Nathan! I ported your 3d trajectory calculator to python for a side project I’m working on… Eventually it’ll be a Little League manager sim game. (That doesn’t require super realistic batted ball and pitch flight physics, but I’m an engineer and got excited).

I added the most realistic ground interactions I could, so now all batted balls and pitches have their motion simulated with your method, even after bounces.

Glad to “hear” from you and I’ll be sure to share it if I ever finish something worth sharing!

bosoxforlifeMember since 2016
4 years ago
Reply to  Alan Nathan

It seems to me that it is virtually impossible to produce top spin on a ball hit at a 25-30 degree angle. The path of the bat would have to be almost vertical. Tennis players can achieve this but a tennis racket is a different tool than a baseball bat.

MRDXolMember since 2021
4 years ago
Reply to  Alan Nathan

Question re spin— this is assuming that batted ball spin magnitude is time-constant, yes? I would think that assumption is entirely safe for
pitches or line drives, given how short the time for drag to affect the spin is, but that might not be the case for high fly balls with a 30-35 deg launch angle which have considerably more time for drag to act upon the spin as well as the velocity.

Alan NathanMember since 2025
4 years ago
Reply to  MRDXol

It is quite likely that the spin rate slows as the ball moves through the air. We don’t know the slowdown rate but the likely “halflife” is ~20 seconds.

MRDXolMember since 2021
4 years ago
Reply to  Alan Nathan

Thanks. Have there been efforts to model the spin slowdown? Might be tricky if the ball had notable sidespin if a notable portion of the spin becomes gyrospin as the sidespin acts, but in the perfect backspin case it would be a relatively simple PDE I think?

bosoxforlifeMember since 2016
4 years ago
Reply to  MRDXol

In reality there is probably no such thing as perfect backspin. The resistance caused by the seams disturbs the airflow around the three main axes and, while it is much more complicated than that, these competing forces turn the ball into a gyroscope. This is the basis for the concept of seam-shifted wake which is seen most clearly when a cricket bowler uses the single hemispheric seam to make the ball move in every direction. It is fun to note that in the highest form of cricket, Test matches, a single ball is used for a minimum of 480 deliveries, try to imagine what condition that ball must be in by that time. Since air flow around the ball is the dominate feature of cricket bowling there has been a lot of research done which can be found on the net.