Answer the following 3 questions below1) List two ways you can increase the linear velocity of a point on a rotating body. Which factors can you control? Which one would have the biggest impact? Why?2

See discussions, stats, and author profiles for this public ation at: https://www .rese archg ate.ne t/public ation/43300067 Influence of the gastrocnemius muscle on the sit-and-reach test assessed by angular kinematic analysis Article   in  Revist a Br asileir a de Fisiot erapia · F ebruar y 2010 DOI: 10.1590/S1413-35552010000100003  · Source: PubMed CIT ATIONS 28 READS 125 6 author s , including: Some of the author s of this public ation are also w orking on these r elated pr ojects: Surface EMG Dec omposition Vie w pr oject Ref er enc e values f or isokine tic and electr omyographic v ariables of the trunk fle xor s and e xtensor s of asympt omatic women between 20 and 60 y ear s Vie w pr oject Marcio Kaw ano Universidade F ederal do Oest e da Bahia 13 PUBLICATIONS    91 CITATIONS     SEE PROFILE Be atriz I R De Oliv eira Curtin Univ ersity 10 PUBLICA TIONS    59 CITATIONS     SEE PROFILE Jeff erson R osa Car doso Universidade Est adual de L ondrina 176 PUBLICATIONS    1,307 CITATIONS     SEE PROFILE All c ontent f ollowing this p age w as uplo aded by Beatriz I R De Oliv eira on 22 May 2014. The user has r equested enhanc ement of the do wnloaded file. Or i g i n a l a r t i c l e ISSN 1413-3555Rev Bras Fisioter, São Carlos, v. 14, n. 1, p. 10-5, jan./Feb. 2010 ©Revista Brasileira de Fisioterapia Influence of the gastrocnemius muscle on the sit-and-reach test assessed by angular kinematic analysis Influência do músculo gastrocnêmio sobre o teste sentar e alc\ ançar avaliada pela análise cinemática angular Marcio M. Kawano 1, Gabriel Ambar 2, Beatriz I. R. Oliveira 2, Marcela C. Boer 2, Ana P. R. G. Cardoso 2, Jefferson R. Cardoso 3 Abstract Background: The sit-and-reach test (SRT) used to measure low back and hamstring flexibility is more adequate when combined with hip joint angle (HjA) measurement. It is supposed that shortening of the gastrocnemius muscle could affect the SRT results.

Objectives: The purposes of the study were to investigate the relationship between the HjA and SRT and to verify the influence of the gastrocnemius. Methods: This is a cross-sectional study on healthy subjects. Two hundred subjects took part in the study: 100 males and 100 females aged 21.2 years (SD=1.7). The materials used were a sit-and-reach box with an adapted door to evaluate the influence of the gastrocnemius and a digital camera. Skin markers were positioned on the anterior superior iliac spine and greater trochanter.

Two pictures were taken in the final position of the test, one with the door closed (with ankle dorsiflexed - DF) and the other with the door opened (with ankle plantarflexed - PF). Results: Moderate correlation was found between the HjA and SRT for DF and PF ( r=0.48 e 0.44). The HjA with DF and PF were 95.5º ±18.6º and 99.7º ±18º ( P<0.001), respectively. Conclusions: Angular kinematic analysis is a reliable technique to measure the HjA. The results demonstrated the influence of the gastrocnemius; thus we suggest that the SRT be performed with free ankle joint mobility.

Key words : biomechanics; hip joint; physical examination. Resumo Contextualização: O teste sentar e alcançar (TSA) usado para medir a flexibilidade lombar e dos músculos isquiotibiais é mais adequado quando usado concomitantemente para avaliar o ângulo da articulação do quadril (AAQ). Acredita-se que o encurtamento do músculo gastrocnêmio afetaria os resultados desse teste. Objetivos: As propostas deste estudo foram correlacionar os resultados do ângulo do quadril e do teste sentar e alcançar e verificar a influência do músculo gastrocnêmio. Métodos: Foi realizado um estudo transversal que envolveu sujeitos saudáveis. Duzentos sujeitos participaram do estudo: 100 homens e 100 mulheres, com idade média de 21,2 anos (DP=1,7). Os materiais usados foram um banco do TSA com uma porta adaptada para avaliar a influência do músculo gastrocnêmio e câmera fotográfica digital. Marcadores cutâneos foram posicionados na espinha ilíaca ântero-superior e trocânter maior. Realizaram-se duas aquisições de imagem: uma com porta fechada (tornozelo em dorsiflexão TD) e outra aberta (tornozelo em flexão plantar - TF). Resultados: Correlação moderada foi encontrada entre AAQ e TSA, tanto para TD como para TF ( r=0,48 e 0,44). Os ângulos encontrados com a porta fechada e aberta foram, respectivamente, 95,5º ±18,6º e 99,7º ±18º ( P<0,001). Conclusões: A análise cinemática angular é uma técnica confiável de avaliação do AAQ. A influência do músculo gastrocnêmio foi observada; portanto, sugere-se deixar o tornozelo livre durante a realização do TSA.

Palavras-chave: biomecânica; articulação de quadril; exame físico. Received: 17/03/2008 – Revised: 11/11/2008 – Accepted: 30/06/2009 1 Physical Therapy Course, Faculdade São Francisco de Barreiras (FASB), Barreiras (BA), Brazil2 Physical Therapist3 Department of Physical Therapy, Kinesiologic Electromyography and Kinematics Research Laboratory, Health Sciences Center, Universidade Estadual de Londrina (UEL), Londrina (PR), BrazilCorrespondence to: jefferson Rosa Cardoso, Hospital Universitário Regional, Norte do Paraná, Departamento de Fisioterapia, Av. Robert Kock, 60, CEP 86038-440, Londrina (PR), Brazil, e-mail: [email protected] 10 Rev Bras Fisioter. 2010;14(1):10-5. 10 Influence of the gastrocnemius muscle on the sit-and-reach test assessed by angular kinematic analysis Influência do músculo gastrocnêmio sobre o teste sentar e alc\ ançar avaliada pela análise cinemática angular Marcio M. Kawano 1, Gabriel Ambar 2, Beatriz I. R. Oliveira 2, Marcela C. Boer 2, Ana P. R. G. Cardoso 2, Jefferson R. Cardoso 3 Introduction The Sit-and-Reach Test (SRT) described by Wells and Dil - lon in the 1950s is commonly used to measure low back and hamstring flexibility 1. The interest in studying the hamstring muscles and the measure of their length is due to possible injuries caused by biomechanical changes that lead to certain dysfunctions: patellofemoral joint dysfunction, pubic pain, low back pain, patellar tendonitis and postural deviations 2-7. Although this test is widely used in many fitness batteries, it is believed that certain factors could alter the SRT results 8,9. Some authors suggest the following factors are mainly responsible:

disproportion between the upper and lower limbs relative to the trunk 10; scapular abduction, which increases the reaching distance of the arms 11; and SRT scores that do not distinguish the contributions of the low back or hamstring muscles dur - ing the test. Moreover, the SRT is commonly used to assess low back flexibility ; however previous studies presented a low cor - relation between SRT and low back flexibility. These authors do not recommend the use of the SRT to measure low back flexibility 12,13 . Different SRTs and their modified versions have been studied with the intention of eliminating these factors. Some examples are: Back Saver Sit-and-Reach Test, Modified Back Saver Sit-and-Reach Test, Chair Sit-and-Reach Test, Modified Sit-and-Reach Test and V-Sit-and-Reach Test 8,10,14-17 . All of these tests considered the final position that the subjects reached, but not the angle of the hip joint. The length of the hamstring muscle can be measured by the inclination angle of the sacrum and pelvis, related to the horizontal line at the point of maxi - mal forward reach on the SRT 18. This represents an indirect measure of the hip joint angle (HJA). Furthermore, when the HJA is used in the SRT, differences in length of upper and lower limbs and contribution of low back can be eliminated 18. The HJA can be assessed by using angular kinematic analysis. It is a method of measuring movement parameters (position and orientation), which can be easily performed with digital photography in order to determine joint configuration.

Digital imaging has been quite useful as a method of taking precise kinematic measurements. These images can be used to calculate joint angles using specific software 19,20 . The gastrocnemius is a two-joint muscle that spans the knee and the ankle joints. In spite of the fact that the gastroc - nemius has no relationship with the hip, this muscle can alter the SRT result because it crosses the knee. Thus, when the sub - ject performs a trunk forward flexion in a sitting position, with the knee fully extended and the ankle dorsiflexed, all posterior muscles (hamstrings and gastrocnemius) will be in tension 21,22 . During the standard SRT the subjects put the ankle in dorsi - flexion position (DF) with the knee fully extended. When the subject performs trunk forward flexion with the knee extended and ankle in dorsiflexion, an uncomfortable tension can be felt in the gastrocnemius if this muscle is shortened and this is the limiting factor to continue the test. Thus, the subject will be unable to stretch the hamstring maximally because of the previous gastrocnemius tension (discomfort). This can explain the limited HJA movement. We believe that the standard SRT with ankle DF is not the best form of measuring hamstring flex - ibility. It is supposed that performing the SRT with the ankle plantarflexed (PF) is the best way to evaluate only hamstring muscle flexibility, because the gastrocnemius muscles will be in a relief position and the discomfort in the calf will not oc - cur. This would improve the performance in HJA. Therefore, the objectives of this study were: (1) to measure the HJA as an indirect measure of hamstring flexibility, (2) to investigate whether there is a relationship between HJA and SRT, (3) to verify the influence of the gastrocnemius muscles on SRT and (4) to compare these results between men and women.

Methods Subjects A total of 200 university students took part in the study : 100 males and 100 females; having a mean age of 21.2 years (SD=1.7), a mean height of 169 cm (SD=0.09), a mean mass of 63.3 kg (SD=12.4) and a mean body mass index of 21.8 kg/m 2 (SD=2.7). The inclusion criteria were: apparent health, age between 18 and 25, and physical activity two to four times per week. The initial sample size was 204 subjects; however four subjects dropped out because of the following exclusion criteria: pain, postural devia - tion, previous back and limb surgery or spine/lower extremity injuries in the six months prior to data collection. All inclusion and exclusion criteria were evaluated by two experienced physi - cal therapists. The intensity of the pain was determined by the visual analogue scale (10 cm) and injuries were determined by questionnaire. The subjects signed an informed consent form approved by the Human Research Ethics Committee of Univer - sidade Estadual de Londrina, Brazil (CEP 058/04).

Instrumentation A wooden box 30.5 cm x 30.5 cm x 30.5 cm with a fixed 23 centimeter ruler on top was used in the study. A door was built measuring 27 cm in height and 27 cm in width on the side where the subjects placed their feet against the box, permitting assessment of the influence of the gastrocnemius during SRT. When the door was closed, the ankles were in Gastrocnemius influence on SRT 11 Rev Bras Fisioter. 2010;14(1):10-5. Men (n=100) Women (n=100) (SD) Range (SD) Range Age (years) 21.6 (1.9) 18-25 20.8 (1.4) 19-25 Mass (kg) 72.1 (11) 49-110 55.2 (6.8) 41.5-79.7 Height (cm) 176.0 (7.1) 159-199 163.0 (6.3) 148.0-181.0 BMI (kg/m 2) 23.1 (2.6) 17.7-31.8 20.6 (2.3) 13.1-28.5 Table 1. Anthropometric values of the subjects according to gender. =mean; SD=standard deviation; BMI=body mass index.

Figure 1. A) Sit-and-reach test with the door closed (with ankle DF); B) with the door opened (with ankle PF). The hip joint angle formed by two lines: one line between the anterior superior iliac spine and greater trochanter references, and the other, a horizontal line along the greater trochanter reference.

a DF position (gastrocnemius was taut), and when the door was opened, the ankles were in a PF position (gastrocnemius was slack). Initially, a digital camera (5.1 megapixels) was square and plumb and directly perpendicular to the axis of the HJA. The camera was level and parallel to the floor and positioned on a tripod at 40 cm above the floor and 202 cm from the background, always focused on the hip joint. The camera captured the subject’s entire field of vision without the use of the zoom. All of these procedures were carefully prepared to avoid motion parallax errors. Two photographs of each subject were taken, one with the door closed (with ankle DF) and the other when open (with ankle PF; Figures 1A and 1B, respectively). The order of the test was random. The measurement of the photographs took place in the Labora - tory of Kinesiologic Electromyography and Kinematics dur - ing the same period of the day for all subjects. Procedures Reflective skin markers of one centimeter in diameter were positioned on the anterior superior iliac spine (ASIS) and greater trochanter (GT) by two experienced physical therapists. The ASIS and the GT are relatively large areas of reference, and they need specific standardized assessment. Later, with the hips flexed, knees straightened and feet fully placed against the box door (DF) or in PF, the subjects extended their arms forward, placing one hand on the top of the other. With palms down, the participant reached forward over the measuring scale as far as possible, without bending the knees, and held the position for approximately two seconds. If the knees were not straightened, the subject had to repeat the test and a new picture was taken. An initial training session was held to provide familiarization with the experimental equipment and procedures the day before. The subjects performed one reaching movement for each box position. Two pictures were taken in this final body posi - tion, one with DF and the other with PF; a total of 400 pictures were taken. The maximum reach according to the ruler on the box was the SRT value, and the HJA was calculated using the software CorelDraw  version 11. The HJA was measured by the inclination angle of the sacrum and pelvis, related to the horizontal line, at the point of maximal forward reach on the SRT as measured in the Cornbleet et al. 18 study. To obtain this angle two lines were required: one between the ASIS and GT references, and the other, a horizontal line along the GT refer - ence (Figure 1, A and B). The lines were digitally drawn on the pictures, and the software gave the angles between the lines.

Statistical analysis The SRT variables were tested considering normal distribu - tion, using the Shapiro-Wilk test. ANOVA with one repeated- measures factor was used to compare the results of the HJA with ankle DF and PF and of the HJA results between genders.

The analysis was complemented by means of the Tukey multi - ple comparison test. Both comparisons were followed by their confidence intervals (95% CI). To investigate the relationship between the HJA and the SRT, the Pearson product-moment correlation coefficient was applied. Statistical significance was stipulated at 5% ( P<0.05). The Statistical Package for Social Sci - ences (SPSS) version 13.0 was used for statistical analysis.

Results The anthropometric values, separated according to gen - der, are presented in Table 1. The HJA values of the sample, with ankle DF and PF were respectively : =95.5º (SD=18.6º) Marcio M. Kawano, Gabriel Ambar, Beatriz I. R. Oliveira, Marcela C. Boer, Ana P. R. G. Cardoso, Jefferson R. Cardoso 12 Rev Bras Fisioter. 2010;14(1):10-5. and =99.7º (SD=18.0º), 95% CI of mean difference (3.7-4.7; P<0.001). The SRT results were: =29.0 cm (SD=8.6 cm) – DF and =33.4 cm (SD=7.6 cm) – PF, 95% CI of mean difference (3.9-4.8; P<0.001). A moderate correlation was obtained between the HJA and SRT values with DF and PF ( r=0.48 and r=0.44, respectively). When separated according to gender, a moderate correlation between men was found with DF and PF ( r=0.61 and r=0.54, respectively), whereas between women, a low correlation was found ( r=0.31 and r=0.24, respectively). The values obtained from analysis of the HJA and SRT by gender are presented in Table 2. The HJA values for men presented significant statistical dif - ferences when comparing DF ( =83.0º) with PF (87.3º), 95% CI of mean difference (3.6 - 4.9; P<0.0001); these were similar to those found for women (DF =107.9º; PF =112.9º), 95% CI of mean difference (3.5 - 4.9; P<0.0001). Discussion The present study reveals that there are differences when the SRT and HJA results are compared in two situations: ankle DF or ankle PF. The values of the SRT and HJA with ankle PF were higher than ankle DF. Regarding the HJA values obtained with DF and PF for the entire sample, a significant statistical difference was found. The same occurred when separated ac - cording to gender. This demonstrates the influence of the gas - trocnemius when the SRT is performed with the door closed or open. The SRT is used to measure hamstring muscle flexibility and not gastrocnemius flexibility. Subjects with shortened gastrocnemius muscle who perform the standard SRT (with a 90º of ankle DF) can lead the physical therapist to attribute the subject’s low score to shortened hamstring muscles. This happens because, when the gastrocnemius is shortened, the subject feels discomfort in the gastrocnemius muscle before the hamstring muscle. A tension is created in the calf, and it is a limiting factor to continuing the SRT. This prevents the subject from stretching the hamstring maximally due to great discomfort in the gastrocnemius; at this point, the extremities of the subject’s gastrocnemius muscle are apart. As a conse - quence, the subject will fail to reach the maximal hamstring muscle stretch point. Therefore, by keeping the knee extended and maintaining the ankle in PF position, the gastrocnemius muscles will remain loose and will not interfere with the length of the hamstring muscles during the SRT. Thus, the hamstrings can be stretched maximally. Muscles that perform movements on two joints must be loose on one joint (ankle) to obtain a better range of motion over the other joint (knee) 21. A significant statistical difference occurred between the HJA values for men and women. Women presented better hamstring flexibility than men with DF and PF. This finding corroborates previous studies 18,23,24 . In a study with 410 volun - teers aged five to 12 years, a mean angle of 81º was found when measured by an inclinometer 18. When separated according to gender, the mean angle was 75º for boys and 85º for girls, in spite of the fact that they had the same physical activity level (between two and four times per week). This study suggests that, when studying hamstring muscles, differences between genders must be considered. The correlation between the HJA and SRT with ankle DF and PF indicated a moderate correlation. These results did not cor - roborate another study 18, in which the correlation between the SRT and HJA was measured by using an inclinometer and where a strong correlation ( r=0.76) between the angle values and the maximum distance reached was observed. The moderate-to-low correlation presented in the present study was due to the fact that the standard SRT does not consider the differences between limbs, a phenomenon well documented in the literature. The variation in length between the upper and lower limbs in relation to trunk and spine affects measurements of mobility and will in - terfere in the SRT results. To put it more clearly, a person who has relatively longer arms will achieve a better reaching score, which cannot be attributed to the flexibility of the gastrocnemius but to the arm span. In contrast, angular kinematic analysis, which in this case provides the HJA score, eliminates the proportional differences between upper and lower limbs. The effect of the head position on the SRT was examined by another study 25. It considered that the erector spinae muscles were stressed when subjects performed the SRT with the head down, decreasing the possibility of improved trunk flexion when maximum reach was performed. Therefore, the perfor - mance of the SRT with the head up decreases stress on these Men Women (SD) Range (SD) Range CI 95% P HJA – with ankle DF ( o) 83.0º (14.2º) 49.4º-114.8º 107.9º (13.3º) 73.5º-144.8º [21; 28.7] <0.001 HJA – with ankle PF ( o) 87.3º (13.4º) 53.6º-117.5º 112.1º (12.6º) 82.6º-145.4º [21.1; 28.4] <0.001 SRT – with ankle DF (cm) 27.7 (9.1) 6.0-49.5 30.4 (7.9) 12.0-49.0 [0.3; 5] 0.027 SRT – with ankle PF (cm) 32.1 (8.4) 10.0-50.5 34.7 (6.5) 19.0-51.0 [0.4; 4.6] 0.018 Table 2. HJA and SRT values with ankle dorsiflexed (DF) and plantarflexed (PF) acco\ rding to gender. HJA=hip joint angle; SRT=sit-and-reach test; =mean; SD=standard deviation; Range=minimum and maximum value. 95% CI=9\ 5% confidence interval. Gastrocnemius influence on SRT 13 Rev Bras Fisioter. 2010;14(1):10-5. muscles, providing better results. The study indicated differ - ences between head positions, but they presented no clinical importance. The intrarater reliability test (ankle DF and PF) for the HJA analysis presented high reliability after a five-day interval. The reliability of the test was between 96% and 98%. The same occurred in the interrater reliability test, performed by two trained evaluators, which agreed with a previously published study 26. The values of the ICC test were between 0.96 and 0.98. The values of the mean difference of the Bland-Altman test were between 0.01 and 0.07. These results showed that the technique presents good applicability and that the values of the angle formed by the hip joint are easily calculated. In all of the SRT studies analyzed, previous hamstring stretching was performed. However, in the present study, the same procedure was not adopted, due to the fact that the viscoelastic properties of muscles have short duration 27,28 . Ac - cording to Depino et al. 27, nine minutes after four 30-second hamstring static stretches, the hamstring length returns to baseline values. This happens because the viscoelastic com - ponent was not deformed enough to produce a permanent change 27. Thus, if hamstring muscles are stretched prior to the performance of the SRT, their true length may not be analyzed.

Therefore, if the tests had been repeated twice or more, the SRT values would have been higher than in the first evaluation. The SRT with the HJA measured by angular kinematic analysis can be performed anywhere a small evaluation lab can be set up. A standard box and a camera are needed to take the photographs. This technique allows a reliable and simple measurement of hamstring length when the evaluator uses the final SRT position (maximum anterior trunk flexion) with neutral ankle position and registers the HJA.

Conclusions The results of this study demonstrated that the HJA mea - surement serves as an indirect measurement of hamstring flex - ibility and could be employed in clinical practice as an outcome measure. It was also demonstrated that the HJA is a more ac - curate measure of flexibility than the SRT due to the fact that it is uninfluenced by limb length when applied in conjunction with a free ankle joint. Finally, the results of female subjects presented higher values than did those of the males. 1. Wells KF, Dillon EK. The sit and reach. A test of back and leg flexibility. Res Q Exerc Sport. 1952;23:115-8. 2. Delee JC, Drez D, Miller MD. Orthopaedic sports medicine: principles and practice. Philadelphia: Saunders; 2003. 3. Witvrouw E, Danneels L, Asselman P, D’Have T, Cambier D. Muscle flexibility as a risk factor for developing muscle injuries in male professional soccer players. A prospective study. Am J Sports Med. 2003;31(1):41-6. 4. Witvrouw E, Bellemans J, Lysens R, Danneels L, Cambier D. Intrinsic risk factors for the development of patellar tendinitis in an athletic population. A two-year prospective study. Am J Sports Med. 2001;29(2):190-5. 5. Hartig DE, Henderson JM. Increasing hamstring flexibility decreases lo\ wer extremity overuse injuries in military basic trainees. Am J Sports Med.

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