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Swimming With Physics: Why Do Swimmers Go Faster When They Feel Slower?

Rebecca Westfall is a former All-American at Texas A&M University, when she was Rebecca Sturdy. She completed her swimming career there in 2007, though still ranks in the top 10 in Texas A&M history in 5 different events. She’s now the assistant coach at Warren Wilson College in Asheville, North Carolina.

Her father, and her coach up until college, is Gary Sturdy. He has a unique perspective on coaching and physics; his primary vocation is as the owner and lead engineer of the Sturdy Engineering Corporation, however he has also spent much of his adult life as a swim coach and swim official. He built a program for the HP-48G that was used at the 2000 Olympic Trials that was used by the USA Swimming Technical Committee to analyze swims.

In the sport of swimming, innovation is crucial. The status quo of thinking and training the same way every day has become unacceptable, especially at the highest levels of the sport. Coaches strive every day to, “think outside the box.” In pursuit of this goal, Coach Gary Sturdy and I have turned to physics to explain why certain techniques work, why others do not, and develop new methods of attaining higher velocities through the water.

While Coach Sturdy and I have had successes in applying physics to swimming, there has always been one situation which has stumped us. Time and time again, we have had swimmers come to us after a lifetime best performance by a large margin and comment, “Coach, I could have gone faster.” Why do the best performances occur when athletes believe they didn’t work hard enough?

I swam this way myself throughout my entire career without being able to explain why my vastly slower turnover rate resulted in speeds that stumped the majority of coaches who watched me swim. Obviously it was working for me, but why?

In the last year or so, Coach Sturdy and I have experienced a breakthrough and are finally able to explain the phenomena. It all comes back to physics, kinetic energy to be exact. The easiest way for us to explain the importance of the practical uses of kinetic energy in the stroke is to apply it to one of the most universal swimmer flaws: the zig zag.

To be more specific, the zig zag occurs during the stroke phase of freestyle and backstroke when a swimmer’s shoulders swerve, for example, to the left, crossing the centerline. Due to the elastic nature of the human trunk, the hips bow out to the right, crossing the centerline in the opposite direction. The movement continues to flow down the body with the legs swerving back past the centerline to the left. As the swimmer takes the next stroke, the shoulders veer to the right while the hips swing left and legs swing right. This serpentine s-curve is what will be referred to as a zig zag.

Up to this point in coaching, the zig zag has been corrected because it a) causes the swimmer to travel a longer distance through the water and b) generates a turbulent water flow, which increases drag. However, as major as these two sources of velocity reduction are, let us approach the problems from a kinetic energy point of view. To do this, we need to give you a crash course in physics as applied to swimming.

Within the stroke, a swimmer produces work energy by pulling and kicking. Work energy is defined as a force exerted over a distance and can be defined in the equation WE=F(d). This work energy allows the body to move at a certain velocity through the water. This work energy is the kinetic energy available to the swimmer. Kinetic energy is defined as mass traveling at a certain velocity and can be expressed in the equation KE=1/2mv2.

The kinetic energy available to a swimmer is comprised of both positive and negative kinetic energy. For our purposes, we will define positive kinetic energy as the mass of the swimmer traveling in the desired direction, in a straight line down the pool. As positive kinetic energy increases, swimming times will always decrease. Negative kinetic energy is a mass traveling in any direction that decreases positive kinetic energy.

It is important to note that the total kinetic energy of the swimmer is finite and is comprised of both positive and negative kinetic energies. It is an inverse relationship: as the negative kinetic energy decreases, the positive kinetic energy increases and vice versa. This relationship can be described in the equation KEt=KEp+KEn.

Once we apply our knowledge of kinetic energy to the zig zag, one can see the biggest reason why it is so ineffective. A swimmer’s shoulder mass moving sideways from the centerline creates negative kinetic energy. Because of the body’s elasticity mentioned earlier, the hip mass moves to the right, and the leg mass moves to the left further, increasing negative kinetic energy. As these body masses move sideways, the water around the body is forced to move as well. To move the water, the swimmer expends additional negative kinetic energy.

When all the negative kinetic energies (body and water movements) are summed, the swimmer’s positive kinetic energy and thus forward velocity is reduced. And that’s the loss in just a single stroke! Add up all the strokes in a race and you can deduce how much energy a swimmer wastes just by zig zagging even an inch past the centerline. Remember, as negative kinetic energy increases, positive kinetic energy decreases, thereby decreasing forward swimming velocity.

According to the formula, as the swimmer reduces wasted movement and negative kinetic energy, their positive kinetic energy will increase and, he will be able to travel at higher speeds with less perceived energy output. This accounts for the sensation that he thinks they “could have worked harder and gone faster.” In reality, he went as fast as he did because he reduced their work load.

The zig zag is just one major source of negative kinetic energy. This principle of kinetic energy can be applied to any portion of the stroke. The applications for this principle are limitless. Over the next six parts of this series, we will deepen our knowledge of kinetic energy and begin to apply it to different portions of the stroke. In part two we will discuss the importance of the core, and a new way to train it to help manage the work loads transferred to the body during the
stroke.

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Aaaa
8 years ago

F=ma
m=palm size
a=pulling acceleration of every stroke

The zig-zag line of pulling has created a longer pulling distance for the swimmer to pick up acceleration so as to produce maximum force according to the above Newton law of motion.

The disadvantage is the cycle time is too long that number of stroke was compromised.

Swimming in the water is different from any other sports because water cannot produce reaction force. Therefore to achieve maximum momentum, swimmer has to create a pivoting point for the exertion.

The further distance between pivoting point and force application point, the resultant momentum will be stronger.

Say if you exert you pilling force around shoulder, your opponent is able to pivot on… Read more »

Simon
9 years ago

you talk about the S-Curve crossing the center line at the Start of your page, but I thought the S-Curve wasn’t meant to cross the center line anyway. Also would a swimmer not rotate along the center line instead of swerving?

Kind regards
Simon

10 years ago

Thanks for the great article. I always follow your articles to improve my swimming techniques.

Rich
10 years ago

Where do we see the next in the article series. I am intrigued to hear more.

R
10 years ago

Gary works with my high school swim team, and is always saying “Go slow to swim fast.” It’s really interesting to see this article, as this is definitely something we’ve talked about in the past…it makes more sense now, Gary! I can’t wait to read the rest! Only a few more months till season, scary thought that that is! 🙂
-rachel

10 years ago

Awesome read…this helps me to better understand why I work harder to go slower 🙂 Keep up the great reads SwimSwam.

DS
10 years ago

I’m really unclear about what is new or novel about this analysis. It sounds like you are doing a force balance and instead of putting the system in the context of drag forces you are framing it from a kinetic energy standpoint. The example you use clearly makes sense in the context of a force balance, but that is something that has been applied to swimming before. Are you suggesting that you are doing it in a more detailed way?

As the poster above noted the idea of negative kinetic energy doesn’t work. Just taking the equation Ke = 1/2mv2, if you have a negative kinetic energy then you have an imaginary component of velocity.

I’m always a… Read more »

Westfall & Sturdy
Reply to  DS
10 years ago

Thanks for your comment! Part Two will be a very interesting read for you.

DL
10 years ago

I’m a physicist and I can guarantee that there’s no such thing as negative kinetic energy. You can talk about negative and positive work, but kinetic energy is always positive. Changes in kinetic energy can be positive or negative (maybe that’s what the authors mean, but who knows?). Also, kinetic energy is not equal to work done. Finally, there is no such thing as negative mass, as someone mentioned above. So the analysis in the article makes no sense.

About Braden Keith

Braden Keith

Braden Keith is the Editor-in-Chief and a co-founder/co-owner of SwimSwam.com. He first got his feet wet by building The Swimmers' Circle beginning in January 2010, and now comes to SwimSwam to use that experience and help build a new leader in the sport of swimming. Aside from his life on the InterWet, …

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