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Biomechanics and Medicine in Swimming XI

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<strong>Biomechanics</strong><strong>and</strong>medic<strong>in</strong>e<strong>in</strong>swimm<strong>in</strong>gXi<br />

Comparison of Front Crawl Swimm<strong>in</strong>g Drag between<br />

Elite <strong>and</strong> Non-Elite Swimmers Us<strong>in</strong>g Pressure<br />

Measurement <strong>and</strong> Motion Analysis<br />

Ichikawa, h. 1 , Miwa, t. 1 , takeda, t. 2 , takagi, h. 2 , tsubakimoto,<br />

s. 2<br />

1 Japan Institute of Sports Sciences, Tokyo, Japan<br />

2 University of Tsukuba, Ibaraki, Japan<br />

The purpose of the study was to suggest a methodology to quantify the<br />

drag force dur<strong>in</strong>g front crawl swimm<strong>in</strong>g <strong>and</strong> to compare the drag force<br />

between elite <strong>and</strong> non-elite swimmers. Subjects were asked to swim<br />

front crawl us<strong>in</strong>g arms only <strong>in</strong> swimm<strong>in</strong>g flume, which set the velocity<br />

to 1.3 m/s. The pressure distribution on the swimmer’s h<strong>and</strong>s <strong>and</strong><br />

the orientation of the swimmer’s h<strong>and</strong>s were measured to calculate the<br />

propulsive force. The position of the umbilicus was recorded us<strong>in</strong>g high<br />

speed camera with 250 fps to calculate the swimm<strong>in</strong>g acceleration. The<br />

drag force was estimated accord<strong>in</strong>g to the equation of motion “ma = Fp +<br />

Fd” along with swimm<strong>in</strong>g direction. The elite swimmer swam efficiently<br />

with lower drag force (averag<strong>in</strong>g at 21N) compared to the non-elite<br />

swimmer (average 50N). Our methodology would be useful to compare<br />

the dynamics <strong>and</strong> to discuss the performance of swimm<strong>in</strong>g.<br />

Key words: drag force, propulsive force, <strong>in</strong>ertial term, dynamics, front<br />

crawl swimm<strong>in</strong>g<br />

IntroductIon<br />

The dynamics of swimm<strong>in</strong>g is expressed as a mass model,<br />

ma + F<br />

100<br />

= Fgra<br />

+ Fsta<br />

dyn<br />

(1)<br />

where m <strong>and</strong> a are a swimmer’s mass <strong>and</strong> acceleration vector of the<br />

swimmer’s whole body. F gra is downward force vector due to gravity, F sta<br />

is upward hydrostatic force vector that is called buoyancy, <strong>and</strong> F dyn is<br />

unsteady hydrodynamic force that Namashima (2006) was modell<strong>in</strong>g as<br />

tangential <strong>and</strong> normal resistive fluid force, which are proportional to the<br />

local flow velocity, <strong>and</strong> <strong>in</strong>ertial force due to added mass, which is proportional<br />

to the local flow acceleration. The component on the swimm<strong>in</strong>g<br />

direction of Equation 1 was expressed as,<br />

ma +<br />

= Fdyn−<br />

swim = Fp<br />

Fd<br />

(2)<br />

where a <strong>and</strong> F dyn-swim are the component along with swimm<strong>in</strong>g direction<br />

of a <strong>and</strong> F dyn , respectively. The F dyn-swim is separated <strong>in</strong>to forward force<br />

F p , which is propulsive force, <strong>and</strong> backward force F d , which is drag force.<br />

Many researchers have suggested some methodologies to quantify the<br />

drag force <strong>in</strong> swimm<strong>in</strong>g as “active drag”, although it is difficult to quantify<br />

the drag force <strong>in</strong> swimm<strong>in</strong>g (Di Prampero et al. 1974, Clarys et al.<br />

1974, Holl<strong>and</strong>er et al. 1986, Kolmogorov et al.1992). The methodologies<br />

have some assumptions, such as “swimm<strong>in</strong>g velocity is constant” (Di<br />

Prampero et al. 1974, Holl<strong>and</strong>er et al. 1986), “propulsive <strong>and</strong> drag force<br />

are <strong>in</strong> balance” (Clarys et al. 1974, Kolmogorov et al. 1992). Almost all<br />

previous researches expressed the drag force as a s<strong>in</strong>gle value, which was<br />

a mean value dur<strong>in</strong>g some strokes. The drag force is, however, chang<strong>in</strong>g<br />

from moment to moment dur<strong>in</strong>g swimm<strong>in</strong>g, so the assumptions <strong>and</strong><br />

the expression of drag force would make us overlook some <strong>in</strong>formation<br />

of swimm<strong>in</strong>g dynamics. It is important to observe the dynamics<br />

of the propulsive <strong>and</strong> drag forces dur<strong>in</strong>g swimm<strong>in</strong>g quantitatively <strong>and</strong><br />

cont<strong>in</strong>uously, because it would lead to better discussion of the swimm<strong>in</strong>g<br />

technique <strong>and</strong> performance.<br />

In the present study, the drag force, which is chang<strong>in</strong>g dur<strong>in</strong>g front<br />

crawl swimm<strong>in</strong>g, was quantified with a methodology that is accord<strong>in</strong>g<br />

to the equation of motion (Eq.2) to discuss the dynamics of front crawl<br />

dur<strong>in</strong>g swimm<strong>in</strong>g quantitatively <strong>and</strong> cont<strong>in</strong>uously, because it wo<br />

discussion of the swimm<strong>in</strong>g technique <strong>and</strong> performance.<br />

In the present study, the drag force, which is chang<strong>in</strong>g d<br />

swimm<strong>in</strong>g, was quantified with a methodology that is accord<strong>in</strong>g<br />

motion (Eq.2) to discuss the dynamics of front crawl swimm<strong>in</strong>g. T<br />

study were to suggest a methodology to quantify the drag force d<br />

swimm<strong>in</strong>g. The purposes of the study were to suggest a methodology to<br />

swimm<strong>in</strong>g, <strong>and</strong> to compare the drag force between an elite (a com<br />

quantify the drag force dur<strong>in</strong>g front crawl swimm<strong>in</strong>g, <strong>and</strong> to compare<br />

<strong>and</strong> a non-elite (a triathlete) swimmer.<br />

the drag force between an elite (a competitive swimmer) <strong>and</strong> a non-elite<br />

(a triathlete) swimmer.<br />

METHODS<br />

METHODS The subjects were a well-tra<strong>in</strong>ed male competitive swimmer <strong>and</strong> a m<br />

The profile subjects of were the a well-tra<strong>in</strong>ed subjects is male shown competitive <strong>in</strong> Table swimmer 1. The <strong>and</strong> subjects a male were asked<br />

triathlete. crawl The us<strong>in</strong>g profile arms of the only subjects <strong>in</strong> a swimm<strong>in</strong>g is shown <strong>in</strong> Table flume, 1. The which subjects was set the flow<br />

were m/s. asked In to the swim experiment, the front crawl the pressure us<strong>in</strong>g arms distribution only <strong>in</strong> a swimm<strong>in</strong>g on swimmer's h<strong>and</strong>s<br />

flume, the which h<strong>and</strong>s was <strong>and</strong> set the position flow<strong>in</strong>g velocity of the at umbilicus 1.3 m/s. In the were experiment, measured dur<strong>in</strong>g the<br />

the pressure distribution on swimmer’s h<strong>and</strong>s, the orientation of the<br />

h<strong>and</strong>s Table <strong>and</strong> 1. the Characteristics position of the umbilicus of the were subjects. measured dur<strong>in</strong>g the trial.<br />

Bes<br />

Table Subject 1. Characteristics of the Height subjects. [m] Weight [kg] Age [yrs]<br />

100<br />

Best record for<br />

Subject Competitive Height [m] Weight [kg] Age [yrs]<br />

1.79 74.0 100m-Fr. 22.4 [sec] 49.6<br />

swimmer<br />

Competitive swimmer 1.79 74.0 22.4 49.6<br />

Triathlete 1.70 1.70 68.0 68.0 22.7 82.022.7<br />

82.0<br />

Twelve small pressure sensors, 6 mm diameter <strong>and</strong> 0.7 mm thick, (PS-<br />

05KC, Kyowa, Twelve Japan) small were pressure attached on sensors, the swimmer’s 6 mm both diameter h<strong>and</strong>s. The <strong>and</strong> 0.7 mm<br />

attach<strong>in</strong>g Kyowa, positions Japan) were were the palmar attached <strong>and</strong> dorsal on the sides swimmer's at the metacarpo- both h<strong>and</strong>s. The a<br />

phalangeal were the (MP) palmar II jo<strong>in</strong>t, <strong>and</strong> the middle dorsal po<strong>in</strong>t sides of at MP the III metacarpophalangeal <strong>and</strong> IV jo<strong>in</strong>ts, <strong>and</strong> (MP) I<br />

MP po<strong>in</strong>t V jo<strong>in</strong>t of (Fig. MP 1). III The <strong>and</strong> pressure IV jo<strong>in</strong>ts, values were <strong>and</strong> recorded MP V at jo<strong>in</strong>t 500Hz (Fig. to 1). The pre<br />

calculate recorded the hydrodynamic at 500Hz to force calculate Fh<strong>and</strong> exerted the hydrodynamic on the swimmer’s h<strong>and</strong>s force Fh<strong>and</strong> exerted<br />

us<strong>in</strong>g h<strong>and</strong>s the follow<strong>in</strong>g us<strong>in</strong>g the equation, follow<strong>in</strong>g equation,<br />

3<br />

h<strong>and</strong> ∑<br />

i=<br />

1<br />

( p − p )<br />

F = A w<br />

Eq.3 , ,<br />

h<strong>and</strong><br />

i<br />

palm i<br />

dorsum i<br />

where where A Ah<strong>and</strong> was the plane area of the h<strong>and</strong>. The <strong>in</strong>dex i <strong>in</strong>dicates a po<br />

h<strong>and</strong> was the plane area of the h<strong>and</strong>. The <strong>in</strong>dex i <strong>in</strong>dicates a position<br />

pressure to attach sensor, the pressure that sensor, is i = that 1 is is MP i = 1 II is jo<strong>in</strong>t, MP II 2 jo<strong>in</strong>t, is the 2 is midpo<strong>in</strong>t the of MP II<br />

midpo<strong>in</strong>t 3 is MP of MP V jo<strong>in</strong>t. III <strong>and</strong> The IV jo<strong>in</strong>ts ppalm <strong>and</strong> <strong>and</strong> 3 is pdorsum MP V jo<strong>in</strong>t. were The the ppalm measured <strong>and</strong> pressure<br />

pdorsum dorsal were sides the measured of the h<strong>and</strong>, pressure respectively. on the palmar The <strong>and</strong> dorsal wi is the sides weight of of divide<br />

the sensor’s h<strong>and</strong>, respectively. position, The <strong>and</strong> wi is it the was weight def<strong>in</strong>ed of divided as w1<br />

area = w3<br />

on = the 0.25 each <strong>and</strong> w2 = 0.5 <strong>in</strong><br />

sensor’s And position, it was <strong>and</strong> assumed it was def<strong>in</strong>ed that as the w1 direction = w3 = 0.25 of <strong>and</strong> the w2 = hydrodynamic 0.5 <strong>in</strong> forc<br />

the<br />

perpendicular<br />

present study. And<br />

to<br />

it<br />

plane<br />

was assumed<br />

of the<br />

that<br />

h<strong>and</strong>.<br />

the direction of the hydrodynamic<br />

force on a h<strong>and</strong> was perpendicular to plane of the h<strong>and</strong>.<br />

Figure 1. A photograph of a pressure sensor (top) <strong>and</strong> the positions to<br />

be attached the pressure sensors on the palmar <strong>and</strong> dorsal sides of a left<br />

h<strong>and</strong> (bottom). The sensors were also attached on the right h<strong>and</strong> of the<br />

swimmer <strong>in</strong> a similar position as the illustration.

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