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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 />

The MAD system allowed the subjects to push-off from fixed pads at<br />

each stroke. Hence, power expended <strong>in</strong> giv<strong>in</strong>g the water a k<strong>in</strong>etic energy<br />

change was 0 (Pk=0) as <strong>in</strong> free swimm<strong>in</strong>g, <strong>and</strong> thus Po=Pd. The 15 pushoff<br />

pads were fixed 1.30m apart on a 23m horizontal rod 0.75m below<br />

the water surface, mak<strong>in</strong>g cont<strong>in</strong>uous swimm<strong>in</strong>g over the system possible.<br />

At one end of the swimm<strong>in</strong>g pool, one rod was connected to a force<br />

transducer. The force signal was processed <strong>and</strong> stored on the hard disk<br />

of the notebook computer. Throughout the measurement, the swimmers<br />

used their arms only; their legs were supported <strong>and</strong> fixed together by a<br />

small buoy (buoyant force 15.7N) (ARN-100, ARENA).<br />

The force signal was time-<strong>in</strong>tegrated, <strong>and</strong> yielded the average<br />

force. The mean swimm<strong>in</strong>g velocity was computed from the time needed<br />

to cover the distance between the second <strong>and</strong> fourteenth pads. The<br />

power used to overcome drag (Pd) was calculated from the product of<br />

the mean drag force <strong>and</strong> the mean velocity.<br />

For the measurement of propell<strong>in</strong>g efficiency (ep), each subject<br />

swam 300m 6 times us<strong>in</strong>g front crawl arm stroke only, 3 times us<strong>in</strong>g the<br />

MAD system, <strong>and</strong> 3 times <strong>in</strong> free swimm<strong>in</strong>g. The swimm<strong>in</strong>g velocities<br />

were set at 80%, 85%, <strong>and</strong> 90% of the average velocity of 400m maximal<br />

arm stroke swimm<strong>in</strong>g. These velocities were determ<strong>in</strong>ed by the need to<br />

ensure that all exercise was sub-maximal <strong>and</strong> also that subjects were<br />

able to ma<strong>in</strong>ta<strong>in</strong> normal swimm<strong>in</strong>g technique even at the lowest velocity.<br />

Dur<strong>in</strong>g the measurements, subjects were aided to keep a constant<br />

swimm<strong>in</strong>g velocity by a pac<strong>in</strong>g device consist<strong>in</strong>g of underwater lights<br />

that was set at the bottom of swimm<strong>in</strong>g pool (SWIMMING PACE<br />

MAKE MODEL PMS-103, TAKAGI). All measurements for each<br />

subject were made <strong>in</strong> one day, tak<strong>in</strong>g enough rest to prevent the subjects<br />

from becom<strong>in</strong>g fatigued.<br />

To determ<strong>in</strong>e energy expenditure, steady state oxygen uptake (VO 2 )<br />

dur<strong>in</strong>g the 300m swim was measured by the Douglas bag method. The<br />

face mask used for collect<strong>in</strong>g expired gas allowed unh<strong>in</strong>dered movement<br />

of the arms dur<strong>in</strong>g swimm<strong>in</strong>g. In an earlier study the “streaml<strong>in</strong><strong>in</strong>g”<br />

of this design was such that there was no measurable <strong>in</strong>crease <strong>in</strong><br />

drag (Toussa<strong>in</strong>t et al., 1987). The expired gas collection to measure VO 2<br />

was performed while the subject was swimm<strong>in</strong>g the f<strong>in</strong>al 50m (after<br />

at least 3 m<strong>in</strong> from beg<strong>in</strong>n<strong>in</strong>g of the trial), by which time VO 2 had<br />

reached a steady state. The O 2 <strong>and</strong> CO 2 fractions <strong>in</strong> the expired gas<br />

were determ<strong>in</strong>ed by an automatic gas analyzer (Vmax29c, Sensor medics<br />

Corporation, California, USA). Expired gas volume was measured by a<br />

dry gas meter (SHINAGAWA). The VO 2 was taken to reflect the rate<br />

of energy expenditure at the sub-maximal exercise level studied, which<br />

was confirmed by the observed respiratory exchange ratio (RER) values.<br />

The rate of energy expenditure (PVO2) <strong>in</strong> Watts was calculated by the<br />

oxygen uptake (l•m<strong>in</strong>-1, STPD) <strong>and</strong> RER follow<strong>in</strong>g the formula of<br />

Carby et al., 1987:<br />

PVO2=(4940RER+16040)•VO2/60 (Eq.1)<br />

The rate of energy expenditure (PVO2) measured dur<strong>in</strong>g swimm<strong>in</strong>g on<br />

the MAD system was related to the total power output (Po), which<br />

was equal to Pd, s<strong>in</strong>ce the push-off was aga<strong>in</strong>st the fixed pads (Pk=0).<br />

Hence, gross efficiency (eg) <strong>in</strong> this experiment was computed as follows<br />

(Toussa<strong>in</strong>t et al., 1990);<br />

eg=Po/ PVO2 (Eq.2)<br />

Furthermore, the total power output (Po) of the free swimm<strong>in</strong>g was<br />

calculated by the product of gross efficiency (eg) <strong>and</strong> energy expenditure<br />

(PVO2 <strong>in</strong> W) of free swimm<strong>in</strong>g.<br />

Po= PVO2•eg (Eq.3)<br />

The Propell<strong>in</strong>g efficiency (ep) is def<strong>in</strong>ed as the ratio of the propell<strong>in</strong>g<br />

power (used overcome drag, Pd) to the total power output (Po) (Toussa<strong>in</strong>t<br />

et al., 1988). Therefore, ep was calculated as Pd divided by Po <strong>in</strong><br />

free swimm<strong>in</strong>g at the same velocity.<br />

ep=Pd/Po=Pd/(Pd+Pk (Eq.4)<br />

202<br />

The time trials of 50m, 100m, 200m <strong>and</strong> 400m front crawl were performed<br />

on different days. Then, the average swimm<strong>in</strong>g velocity was<br />

computed from each performance time.<br />

results<br />

The swimm<strong>in</strong>g performance (average velocity) of each distance for each<br />

subject is presented <strong>in</strong> Table 1.<br />

Measurements for ep were taken dur<strong>in</strong>g free swimm<strong>in</strong>g <strong>and</strong> on the<br />

MAD system <strong>in</strong> a range of matched velocities (range; 1.22 to 1.46 m•s -1 ).<br />

PVO 2 calculated from the VO 2 data ranged from 388.5 to 917.7W (MAD<br />

system), <strong>and</strong> from 553.1 to 1367.0W (free swim).The power used to overcome<br />

drag (Pd) ranged from 40.7<br />

50m<br />

(m•s -1 100m<br />

) (m•s -1 200m<br />

) (m•s -1 400m<br />

) (m•s -1 Table 1. Swimm<strong>in</strong>g performance (velocity) of each<br />

distance<br />

)<br />

S.W. 1.82 1.71 1.61 1.55<br />

K.W. 1.88 1.71 1.56 1.48<br />

F.U. 1.89 1.71 1.47 1.4<br />

K.A. 1.82 1.72 1.62 1.56<br />

M.Y. 1.75 1.64 1.56 1.54<br />

M.U. 1.77 1.67 1.58 1.52<br />

S.K. 1.77 1.62 1.52 1.49<br />

A.S. 1.85 1.75 1.67 1.62<br />

E.T. 1.84 1.73 1.65 1.56<br />

mean 1.82 1.70 1.58 1.52<br />

SD 0.05 0.04 0.06 0.06<br />

to 76.5W, <strong>and</strong> the total power output (Po) <strong>in</strong> free swimm<strong>in</strong>g ranged<br />

from 54.1 to 103.4W. The mean value of eg calculated by the ratio of<br />

Po <strong>and</strong> PVO2 was 10±1% (range; 6 to 11%). F<strong>in</strong>ally, know<strong>in</strong>g the Po <strong>in</strong><br />

free swimm<strong>in</strong>g <strong>and</strong> Pd as determ<strong>in</strong>ed on the MAD system at the same<br />

velocity, the calculated ep was 71±6% (range; 56 to 80%) (Table 2).<br />

velocity<br />

(m・s -1 Table 2. Individual data dependent on velocity are given for power <strong>in</strong>put (PiMAD, <strong>and</strong> Pifree), power out<br />

(Pofree), drag force (Fd), power to overcome drag (PdAMD), power lost <strong>in</strong> mov<strong>in</strong>g water (Pk), the propell<strong>in</strong>g<br />

efficicency (ep), <strong>and</strong> gross efficiency (eg).<br />

PiMAD PdMAD Fd Pofree Pifree Pk ep eg<br />

) (W) (W) (N) (W) (W) (W) (%) (%)<br />

S.W. 1.38 525.3 60.1 43.5 82.6 722.8 22.6 73% 11%<br />

1.40 551.9 58.9 42.1 77.7 727.9 18.8 76% 11%<br />

1.43 630.4 63.8 44.6 83.5 824.6 19.7 76% 10%<br />

K.W. 1.22 388.5 41.2 33.8 63.1 595.0 21.9 65% 11%<br />

1.28 453.2 49.7 38.8 75.5 688.7 25.8 66% 11%<br />

1.32 491.0 51.8 39.3 77.9 738.6 26.1 66% 11%<br />

F.U. 1.25 542.0 52.8 42.2 76.0 781.1 23.3 69% 10%<br />

1.28 597.1 47.1 36.8 69.5 880.8 22.4 68% 8%<br />

1.31 917.7 53.3 40.7 79.4 1367.0 26.1 67% 6%<br />

K.A. 1.23 612.3 44.0 35.7 55.3 769.9 11.3 80% 7%<br />

1.29 610.9 47.3 36.7 65.4 844.9 18.1 72% 8%<br />

1.35 618.6 54.8 40.6 76.2 860.4 21.4 72% 9%<br />

M.Y. 1.23 558.9 40.7 33.1 54.1 743.7 13.4 75% 7%<br />

1.30 553.7 49.0 37.7 69.3 784.6 20.3 71% 9%<br />

1.36 566.4 54.2 39.9 73.2 765.8 19.0 74% 10%<br />

S.U. 1.23 441.8 45.3 36.8 56.7 553.1 11.4 80% 10%<br />

1.29 471.0 47.7 37.0 61.1 604.2 13.5 78% 10%<br />

1.35 491.6 53.8 39.8 95.3 871.6 41.6 56% 11%<br />

S.K. 1.23 421.1 43.5 35.3 58.8 570.0 15.4 74% 10%<br />

1.30 488.6 48.9 37.6 67.7 676.0 18.7 72% 10%<br />

1.36 556.5 55.5 40.8 93.2 934.2 37.7 60% 10%<br />

A.S. 1.39 528.7 57.9 41.7 89.2 726.3 24.3 73% 11%<br />

1.43 602.7 64.9 45.4 103.4 814.5 26.9 74% 11%<br />

1.46 773.2 76.5 52.4 103.3 1043.8 26.8 74% 10%<br />

E.T. 1.25 408.7 42.4 33.9 59.2 570.8 16.8 72% 10%<br />

1.28 420.2 47.1 36.8 64.2 573.2 17.2 73% 11%<br />

1.36 497.9 55.6 41.0 76.5 685.1 20.9 73% 11%<br />

mean 1.32 545.2 52.1 39.4 74.4 767.4 21.5 71% 10%<br />

SD 0.07 112.6 8.2 4.2 13.9 170.3 6.9 6% 1%<br />

When the relationship between ep <strong>and</strong> swimm<strong>in</strong>g performance for<br />

different distances was exam<strong>in</strong>ed, the <strong>in</strong>dividual ep values were significantly<br />

related to <strong>in</strong>dividual swimm<strong>in</strong>g performance <strong>in</strong> 200m <strong>and</strong> 400m<br />

(200m; r=0.72, P

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