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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
Note. This article will be published in a forthcoming issue of the
International Journal of Sports Physiology and Performance. The
article appears here in its accepted, peer-reviewed form, as it was
provided by the submitting author. It has not been copyedited,
proofread, or formatted by the publisher.
Section: Original Investigation
Article Title: Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise
Authors: Mario Muñoz-López1, David Marchante1, Miguel A. Cano-Ruiz1, José López
Chicharro2 and Carlos Balsalobre-Fernández3
Affiliations: 1Powerexplosive Center, Madrid, Spain. 2Complutense University of Madrid,
Madrid, Spain. 3Department of Sport Sciences, European University of Madrid, Spain.
Journal: International Journal of Sports Physiology and Performance
Acceptance Date: February 9, 2017
©2017 Human Kinetics, Inc.
DOI: https://doi.org/10.1123/ijspp.2016-0657
“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
LOAD, FORCE AND POWER-VELOCITY RELATIONSHIPS IN THE PRONE PULL-
UP EXERCISE
Mario Muñoz-López1, David Marchante1, Miguel A. Cano-Ruiz1, José López Chicharro2 &
Carlos Balsalobre-Fernández3
1Powerexplosive Center, Madrid, Spain
2Complutense University of Madrid, Madrid, Spain
3Department of Sport Sciences, European University of Madrid, Spain
Running head: LOAD-VELOCITY PROFILE IN THE PULL-UP EXERCISE
Submission type: Original investigation
Abstract word count: 249
Text-only word count: 3291
Number of figures: 4
Number of tables: 1
Corresponding author
Carlos Balsalobre-Fernández
Department of Sport Sciences, European University of Madrid, Spain
Address: C/ Tajo, Villaviciosa de Odón 28670, Madrid, Spain
Telephone: +34 606798498
E-mail: carlos.balsalobre@icloud.com
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
ABSTRACT
Purpose: To analyze the load, force and power-velocity relationships, as well as to determine
the load that optimizes power output on the pull-up exercise. Methods: Eighty-two resistance
trained males (Age = 26.8 5.0 yrs.; Pull-up 1RM – normalized per kg of body mass– = 1.5
0.34) performed two repetitions with 4 incremental loads (ranging 70-100%1-RM) in the pull-
up exercise while mean propulsive velocity (MPV), force (MPF) and power (MPP) were
measured using a linear transducer. Relationships between variables were studied using first
and second order least-squares regression, and subjects were divided into three groups
depending on their 1-RM for comparison purposes. Results: Almost perfect individual load-
velocity (R2 = 0.975 0.02), force-velocity (R2 = 0.954 0.04) and power-velocity (R2 = 0.966
0.04) relationships, which allowed to determine the velocity at each %1-RM as well as the
maximal theoretical force (F0), velocity (V0) and power (Pmax) for each subject were
observed. Statistically significant differences between groups were observed for F0 (p<0.01)
but not for MPV at each %1-RM, V0 or Pmax (p>0.05). Also, high correlations between F0
and 1-RM (r = 0.811) and V0 and Pmax (r = 0.865) were observed. Finally, we observed that
the load that maximized MPP was 71.0 6.6 %1-RM. Conclusions: The very high load-
velocity, force-velocity and power-velocity relationships allows to estimate 1-RM by
measuring movement velocity, as well as to determine maximal force, velocity and power
capabilities. This information could be of great interest for strength and conditioning coaches
who wish to monitor pull-up performance.
KEYWORDS: resistance training; monitoring; biomechanics; physical performance
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
INTRODUCTION
Resistance training has been previously reported to improve health, fitness and
performance 1–3. In order to optimize the response to resistance training, monitoring training
load has been suggested as a key factor; specifically, training intensity is generally
acknowledged as the most important variable to produce the desired neuromuscular adaptations
4,5. In this sense, strength and conditioning coaches often faces an issue when designing
resistance training programs, that’s it, how to objectively quantify and prescribe intensity in
resistance exercises. The most common method to quantify intensity is the measurement of the
1-Repetition maximum (1-RM, i.e., the load that can be lifted just once) 6,7; however, in the
recent years less demanding methodologies have emerged as an alternative to the 1-RM
paradigm 8–10. Among them, movement velocity was shown to be an accurate, effective and
non-fatiguing method to quantify relative intensity in resistance exercises 8,11,12. This method
is based on the load-velocity relationship observed in different resistance exercises, by which
the load (in terms of %1-RM) is highly related to the velocity at which that load is lifted 11,12.
Thus, the measurement of movement velocity has successfully been probed to estimate the 1-
RM and each of its percentages on different resistance exercises such as bench-press 11, bench-
pull 13, squat or leg press 12.
In addition to the measurement of the load-velocity relationship, several studies have
analyzed the well-known force and power-velocity relationships in order to understand the
maximal force, velocity and power capabilities of the athletes 14–16. Thus, the analysis of the
maximal theoretical force (F0), velocity (V0) and power (Pmax), and the slope of the force-
velocity profile has been shown to be of great interest to study the maximal neuromuscular
capabilities in different exercises 15,17. For example, Pmax and the slope of the force-velocity
profile have been probed to significantly influence the ballistic performance in vertical jumping
18. Also, a very high relationship between F0 and 1-RM has been recently observed in the
Downloaded by UPV Biblioteca Central on 03/03/17, Volume 0, Article Number 0
“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
bench-press exercise 19. Finally, the load that maximizes power output has been extensively
studied in different exercises, since that load has been commonly used to improve ballistic
performance 7,20,21. Thus, the analysis of individual force-power-velocity characteristics could
be of great interest for coaches and sport practitioners.
However, research has shown that load-velocity, force-velocity and power-velocity
relationships are specific of each exercise 12,15,21, meaning that the velocity associated at each
%1-RM, as well as the load that maximizes power output or the maximal expressions of F0
and V0 depend on the movement pattern and muscle groups used 12,21. Therefore, more research
is needed in order to analyze the load, force and power-velocity relationships in other common
resistance exercises. Specifically, one of the most used multi-joint, closed-chain, upper-body
resistance exercises, the prone pull-up, has not been analyzed yet in this sense. The prone pull-
up has been used to assess the strength of the upper limbs in different populations such as
fitness practitioners 22, firefighters 23, swimmers 24 or climbers 25. However, to our knowledge,
there are no studies in the literature that analyze the specific relationships between load, force,
power and velocity on the prone pull-up exercise. Consequently, the aim of the present study
is to analyze the load, force, power-velocity relationships in this exercise.
METHODS
Subjects
Eighty-two resistance-trained males, with more than 4 years of experience in the prone
pull-up exercise, participated in this study (N = 82 men; Age = 26.8 5.0 yrs., Height = 1.80
0.1m; Body mass = 81.6 9.3 kg; Pull-up 1RM – normalized per kg of body mass– = 1.47
0.19). Participants were divided into three groups according to their normalized weighted pull-
up 1-RM (1-RM/kg): group 1 (G1: N = 27; 1-RM/kg < 1.4), group 2 (G2: N=27; 1-RM/kg <
1.52) and group 3 (G3: N = 28; 1-RM/kg > 1.52).
Downloaded by UPV Biblioteca Central on 03/03/17, Volume 0, Article Number 0
“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
No physical limitations or musculoskeletal injuries that could affect testing were
reported. To join the study, each participant needed to perform a minimum of 15 repetitions to
failure in the un-weighted prone pull-up exercise and train the weighted prone pull-up exercise
at least once per week for the last 6 months. The study complained with the Declaration of
Helsinki and all participants signed informed-consent forms before participation. The study
was approved by the institutional review board.
Design
Least-squares regression analysis aiming to identify the load, force and power-velocity
relationships was conducted. All participants performed a 4-loads incremental test in the prone
pull-up exercise with loads ranging 70-100% of their 1RM (considered as body mass plus
external load) while mean propulsive velocity (MPV), force (MPF) and power (MPP) were
being registered at a sampling frequency of 1000Hz using the Smartcoach Power Encoder
linear position transducer (LPT) (Smartcoach Europe, Stockholm, Sweden). The software of
the LPT determined the propulsive phase of each repetition as the part of the concentric phase
in which measured acceleration was higher than g (i.e. a > 9.81 m/s2) as described elsewhere
11. MPF was indirectly calculated from propulsive velocity using the well-known impulse-
momentum theorem as follows:
F = m * (vf –v0) / t
where F is MPF (in N), m the system mass (i.e. body mass plus external load, in kg), vf is the
final velocity of the propulsive phase (in m/s), v0 is the initial propulsive velocity of the
concentric phase (in m/s) and t is the duration of the propulsive phase (in s). Finally, MPP was
computed as the product of MPF and MPV: MPP = MPF * MPV. The load that maximized
MPP was also registered accordingly. Each participant performed 2 repetitions with each load,
and the one with higher MPV was registered.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
Furthermore, individual force-velocity and power-velocity relationships were used in
order to determine theoretical maximal force (F0), velocity (F0) and power (Pmax) production,
which represent the maximal neuromuscular capabilities of the participants 14. The values of
F0 and V0 were calculated as the y-intercept and x-intercept of the force-velocity linear
regression, and Pmax was computed as Pmax = F0*V0/4 as described elsewhere 14. It should
be noted that Pmax is a theoretical expression of the maximal power capabilities of the subject,
while maximal MPP is the actual maximal power attained within the incremental test.
Methodology
Body measures
At the beginning of the testing session, height was measured to the nearest 0.5 cm
during a maximum inhalation using a wall-mounted stadiometer (Seca 202, Seca Ltd,
Hamburg, Germany). Then, body mass was measured using the Jata 531 scale (Jata S.A.,
Bizcaia, Spain).
Pull-up incremental test
One week prior to the testing session, a familiarization session was conducted so that
participants could get used to isoinertial testing. After conducting a proper 15-minutes warm-
up consisting on dynamic stretching and preparatory exercises (i.e., glenohumeral joint external
rotations, scapular retractions and 1 set of 5 un-weighted prone pull-ups), athletes performed 4
different sets on the prone pull-up exercise. Initial external load was set at 0kg (i.e., un-
weighted prone pull-up), and it was incremented until the 1-RM (i.e., weighted prone pull-up)
was reached. The magnitude of the increment in the external load was based in the drop of
velocity from the previous set, so that each set could be performed at least 0.1m/s slower than
the previous set. If the 1-RM was not reached in the 4th set, an additional set with 5-10% more
kg was performed. Consequently, the loads used ranged 70-100% 1RM approximately. Two
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
repetitions were performed with each load and the one with higher MPV was recorded. Sets
where separated by 3 minutes of passive rest.
The pull-up was performed with a prone grip and hands were separated by a distance
equivalent to participant’s acromion-to-acromion length. In order to consider a repetition valid,
the participant needed to start the movement hanging in the bar with the elbows fully extended
and the feet in the air with the knees flexed and the hip in neutral position. After holding that
position for 2 seconds, participants were encouraged to perform the pull-up as fast as possible
until their chins were above the bar.
Weight plates were located in the ventral section of the coronal plane using a specific
belt (Maniak Fitness, Málaga, Spain). The cable of the LPT was fixed to the rear label of
participants’ shorts at the sacral vertebrae height because of its proximity to the Center of Mass
and to avoid any contact with the weight plates.
Instrumental
The Smartcoach Power Encoder (Smartcoach Europe, Stockholm, Sweden) LPT was
used to register MPV (in m/s), MPF (in N) and MPP (in W) at a sampling frequency of 1kHz.
Butterworth filtering was used by this instrument to smooth the data. The LPT was placed in
the floor below participants’ Center of Mass so its cable could be aligned with the Z-axis (i.e.,
vertical position) following the criteria described by the manufacturer. Then, the LPT was
connected to the Smartcoach 5.0.0 software which was installed on a personal computer
running the Windows 10 operating system and all the data were exported to a spreadsheet for
further analyses.
Statistical analysis
Standard statistical methods were used for calculation of means and SDs. The normality
of the data was analyzed using the Kolmogorov-Smirnov test. To analyze the load-velocity (i.e.
%1-RM-MPV) and force-velocity relationship (i.e. MPF-MPV), first order least-squares
Downloaded by UPV Biblioteca Central on 03/03/17, Volume 0, Article Number 0
“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
regression was used, and to analyze the power-velocity relationship (i.e. MPP-MPV), second
order least-squares regression was used.
One-way ANOVA with Bonferroni post hoc comparisons was used to detect potential
differences between groups in the studied variables, as well as to analyze differences between
power output with different loads. Finally, the relationships between variables were calculated
using Pearson’s product–moment correlation coefficient and bootstrapping (N= 1000)
determined the 95% Confidence Interval (CI). The level of significance was set at .05, and the
IBM® SPSS® V.23 software (IBM Co., USA) was used for the analyses.
RESULTS
Load-velocity relationship
When analyzing individual load-velocity profiles for each participant, an almost perfect
relationship between %1-RM and MPV was observed in all cases (Mean (SD) from individual
values: R2 = 0.975 0.02, SEE = 0.035 0.02 m/s). Moreover, the slope (s = -0.017 0.004)
and intercept (i = 1.933 0.44 m/s) of the load-velocity relationship were similar for all
participants. See Figure 1 for more details.
When using each participant’s regression equation to estimate MPV for a certain %1-
RM, an almost perfect correlation, with no significant differences was observed between the
estimated and actual MPV for each %1-RM used in the incremental tests (r = 0.987 0.01,
Mean difference = 0.033 0.07 m/s, p = 1.00).
Force-power-velocity relationships
Almost perfect relationships between mean propulsive force (MPF) and MPV (R2 =
0.954 0.04), and mean propulsive power (MPP) and MPV (R2 = 0.966 0.04) were observed
for each participant. Using the force-velocity and power-velocity relationships, descriptive data
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
for F0, V0, Pmax and the slope of the force-velocity profile were calculated for each
participant. See Figure 2.
There were no statistically significant differences between groups of strength for V0 or
Pmax as revealed by the one-way ANOVA (p> 0.05). However, significant differences were
observed for F0 (p< 0.001) and the slope of the force-velocity profile (p< 0.05). See Table 1
for more details. Finally, it was observed that the load that maximized MPP was 71.0 6.6
%1-RM i.e., the first load of the incremental test in most cases. The absolute value of maximal
mean power output was 645.4 171.4 W. See Figure 2 for more details.
Correlations between variables
Finally, high, significant correlations were observed between 1-RM and F0 (r = 0.811,
CI: 0.623-0.930, p< 0.001) and V0 and Pmax (r = 0.865, CI: 0.801-0.917, p< 0.001). See Figure
3.
DISCUSSION
The results of our study showed a very close individual load-velocity (R2 = 0.975
0.02) relationship. Given the very high correlation between MPV and the load at which that
velocity was produced, individual regression equations allowed to estimate the velocity at
which each percentage of the 1-RM was performed. Moreover, no significant differences
(0.046 0.27 m/s, p = 1.00) were observed between the estimated and actual velocity
performed with the loads used in the incremental test. Therefore, results in our study showed
that the load used in the prone pull-up exercise can be accurately determined by measuring the
velocity at which that load is moved. This is in line with previous research that found similar,
very high correlations between load (in terms of %1-RM) and movement velocity in different
exercises such as bench press 11, bench-pull 13 or squat 12. However, unlike previous research
that showed an almost perfect fit (R2 > 0.98) when velocities at each %1-RM from each
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
participant were computed in the same regression equation 11, we observed a much lower value
(R2 = 0.780), meaning that an individual regression equations, and not a global one, should be
used to estimate the %1-RM of each participant. This could be due to a particularity of the
prone pull-up exercise: unlike other exercises where the athlete mainly faces the load that
represents the barbell and plates, the prone pull-up exercise is demanding with a load as low as
0kg of external load (i.e., the un-weighted pull-up) due to subject’s own body mass. Thus,
subjects with higher 1-RM find easier to perform the exercise without any load and,
consequently, can produce higher velocities. In fact, the one-way ANOVA showed significant
differences in the MPV of the unweighted pull-up as detailed in Table 1 (p<0.001). However,
when a maximal lift is performed (i.e., 100%1-RM) all participants produced the same velocity
(in our study the velocity at 1-RM = 0.26 0.05), which confirms previous research that
showed that velocity at 1-RM is very stable and doesn’t depend on athletes’ fitness 8,11,12. For
this, to accurately determine the percentage of 1-RM from movement velocity, individual
analysis to determine the athlete’s own load-velocity profile is highly recommended.
Also, very high force-velocity (R2 = 0.954 0.04), and power-velocity (R2 = 0.966
0.04) relationships, which allowed the calculations of F0, V0 and Pmax were observed. Thus,
our study confirmed that the very high, linear force-velocity relationship and the very high
quadratic power-velocity relationship observed in different activities 15 are also present in the
prone pull-up exercise. There is an increasing interest in the analysis of the force-power-
velocity relationships since F0, V0 and Pmax have been proposed to represent the maximal
theoretical neuromuscular capabilities of the athletes 14,15. For example, vertical jump
performance was shown to be significantly influenced by participants’ Pmax 18, while bench
press 1-RM has shown to be very highly correlated with F0 19. Therefore, the analysis of the
force-power-velocity relationships has been proposed to provide interesting additional
information on the athletes’ neuromuscular performance for different activities such as jumping
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
26, sprinting 17, or bench-pressing 19. This is the first study that analyzed the force-power-
velocity relationships in the prone pull-up exercise. Also, to the best of our knowledge, this
study shows for the first time normative values of F0, V0 and Pmax for resistance-trained males
in this exercise. However, one important limitation should be noted when analyzing the force-
power-velocity characteristics in the pull-up exercise, that’s it, the instrumental used to
measure force. The gold standard for the measurement of force are force platforms since they
register the reaction forces applied to the ground directly 27. Meanwhile, linear transducers
estimate force using the impulse-momentum theorem, providing an indirect measurement of
force in the basis of system mass and changes in velocity 27. Thus, to obtain a direct
measurement of force in this exercise, a special device that would register “bar reaction forces”
should be used; however, to the best of our knowledge, such device doesn’t exist yet. Therefore,
until technology provides a direct measurement of force in the pull-up exercise, the force (and
consequently, power) measures obtained with a linear transducer should be interpreted with
caution.
Interestingly, none of the variables analyzed in the force-power-velocity relationships
differed among groups of strength with the exception of F0 (p<0.001) and the slope of the
force-velocity profile (p<0.05) which were higher and lower, respectively, in G3 with respect
to the other two groups. Therefore, it seems that while strongest athletes had significantly
higher values of F0, none Pmax nor V0 were different from less strong subjects. In this sense,
it was observed that F0 and 1-RM were significantly correlated (r = 0.811), as well as Pmax
and V0 (r = 0.865), but no other pair of variables. Thus, it seems that high values of 1-RM are
related with high values of F0, but not with high V0 or Pmax. Therefore, considering our
results, athletes who wish to develop their 1-RM in the prone pull-up exercise might benefit
from increasing their maximal force capabilities, while those who want to increase their
maximal power might need to focus on developing maximal velocity.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
Developing maximal power output is, in fact, one of the most common goals in strength
and conditioning since ballistic performance has shown to be influenced by muscular power in
several activities such as sprinting, jumping, lifting or tackling, among others 28,29. Thus, there
is a large body of research investigating which range of loads produce the higher maximal
power output, since it was proposed that training with the maximal power load could have
superior benefits to increase power production 20,30,31. For example, a recent meta-analysis on
the maximal power load on upper-body exercises has shown that power output on the bench
press exercise is maximized with loads ranging 30-70%1-RM 21. However, to date, no research
has described the range of loads that maximize the power output in the prone pull-up exercise.
In this sense, our study shows that, in most cases, the load that produced the greatest power
output was the first load on the incremental test which corresponded to 71.0 6.6 %1-RM. It
should be noted that this value corresponds to the maximal MPP production within the
incremental test, while Pmax (which is calculated from F0 and V0 as described in the methods
section) is a theoretical expression of the maximal power production capabilities of the subject.
In this sense, it was observed that the value of Pmax, derived from the force-power-velocity
relationships was higher than the actual maximal MPP produced in the incremental test (747.4
232.9 vs. 645.4 171.4 W). Thus, we can conclude that the lightest load on the incremental
test (i.e. the unweighted pull-up) is not enough to express the absolute maximal power
capabilities of the subjects and, consequently, Pmax would only be reached with an assistance
that would reduce the body weight of the athlete and, therefore, could allow a highest
movement velocity.
To the best of our knowledge, this is the first study which analyzes the load-force-
power-velocity relationships in the prone pull-up exercise.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
PRACTICAL APPLICATIONS
First, results in our study showed that there is an almost perfect relationship between
the load (in terms of %1-RM) and mean propulsive velocity in the prone pull-up exercise. Thus,
strength and conditioning coaches who wish to monitor training intensity when prescribing the
prone pull-up exercise might benefit from measuring movement velocity, because it would
allow to know athlete’s 1-RM without conducting an actual 1-RM test; however, individual
load-velocity profiles should be used for accurate estimations. Second, it was observed that the
load that produced higher power outputs was about 71.0 %1-RM in most cases (i.e., un-
weighted pull-up), although this value was lower than the maximal theoretical power (Pmax)
derived from the force-power-velocity relationships. Therefore, if absolute maximal power
capabilities are to be developed, subjects should use an assistance that would reduce body
weight and, therefore, could produce higher movement velocities. Also, Pmax was shown to
be highly correlated with maximal velocity (V0) but not to maximal force (F0). Therefore,
athletes who wish to focus on power development might benefit from training with no load, or
very light loads moved at high speeds to produce high power outputs. Finally, it was observed
that 1-RM was highly related with F0, meaning that if maximal force capability is to be
developed, athletes should probably focus on increasing their maximal load in the prone pull-
up exercise.
CONCLUSIONS
Very high load-velocity, force-velocity and power-velocity relationships which allows
to estimate training intensity (in terms of %1-RM) by measuring movement velocity, and to
estimate the maximal force (F0), velocity (V0) and power (Pmax) capabilities were observed
in the prone pull-up exercise. Our results could have potential practical applications for strength
and conditioning coaches who wish to use the prone pull-up exercise in their training programs.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
ACKNOWLEDGEMENTS
The authors want to thank the participants, fitness centers and SéMovimiento team for their
involvement in this study.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
REFERENCES
1. Folland JP, Williams AG. The Adaptations to Strength Training. Sport Med.
2007;37(2):145-168.
2. Fahlman MM, McNevin N, Boardley D, Morgan A, Topp R. Effects of Resistance
Training on Functional Ability in Elderly Individuals. Am J Heal Promot.
2011;25(4):237-243.
3. Suchomel TJ, Nimphius S, Stone MH. The Importance of Muscular Strength in
Athletic Performance. Sport Med. 2016;46(10):1419-1449.
4. Fry AC. The Role of Resistance Exercise Intensity on Muscle Fibre Adaptations.
Sport Med. 2004;34(10):663-679.
5. Schoenfeld BJ, Wilson JM, Lowery RP, Krieger JW. Muscular adaptations in low-
versus high-load resistance training: A meta-analysis. Eur J Sport Sci. December
2014:1-10.
6. Kraemer WJ, Ratamess NA. Fundamentals of resistance training: progression and
exercise prescription. Med Sci Sport Exerc. 2004;36(4):574-688.
7. McBride JM, Haines TL, Kirby TJ. Effect of loading on peak power of the bar, body,
and system during power cleans, squats, and jump squats. J Sports Sci.
2011;29(11):1215-1221.
8. Jidovtseff B, Harris NK, Crielaard J-M, Cronin JB. Using the load-velocity
relationship for 1rm prediction. J Strength Cond Res. 2011;25(1):267-270.
9. Day ML, McGuigan MR, Brice G, Foster C. Monitoring exercise intensity during
resistance training using the session RPE scale. J Strength Cond Res. 2004;18(2):353-
358.
10. Kravitz L, Akalan C, Nowicki K, Kinzey SJ. Prediction of 1 repetition maximum in
high-school power lifters. J Strength Cond Res. 2003;17(1):167-172.
11. Gonzalez-Badillo JJ, Sánchez-Medina L. Movement Velocity as a Measure of
Loading Intensity in Resistance Training. Int J Sports Med. 2010;31(5):347-352.
12. Conceição F, Fernandes J, Lewis M, Gonzaléz-Badillo JJ, Jimenéz-Reyes P.
Movement velocity as a measure of exercise intensity in three lower limb exercises. J
Sports Sci. 2016;34(12):1099-1106.
13. Sánchez-Medina L, Gonzalez-Badillo JJ, Perez CE, Pallares JG. Velocity- and power-
load relationships of the bench pull vs. bench press exercises. Int J Sports Med.
2014;35(3):209-216.
14. Samozino P, Morin J-B, Hintzy F, Belli A. A simple method for measuring force,
velocity and power output during squat jump. J Biomech. 2008;41(14):2940-2945.
15. Zivkovic MZ, Djuric S, Cuk I, Suzovic D, Jaric S. A simple method for assessment of
muscle force, velocity, and power producing capacities from functional movement
tasks. J Sports Sci. August 2016:1-7.
Downloaded by UPV Biblioteca Central on 03/03/17, Volume 0, Article Number 0
“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
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© 2017 Human Kinetics, Inc.
16. Sreckovic S, Cuk I, Djuric S, Nedeljkovic A, Mirkov D, Jaric S. Evaluation of force–
velocity and power–velocity relationship of arm muscles. Eur J Appl Physiol. 2015.
17. Samozino P, Rabita G, Dorel S, et al. A simple method for measuring power, force,
velocity properties, and mechanical effectiveness in sprint running. Scand J Med Sci
Sports. June 2015.
18. Samozino P, Rejc E, Di Prampero PE, Belli A, Morin J-B. Optimal force-velocity
profile in ballistic movements--altius: citius or fortius?. Med Sci Sports Exerc.
2012;44(2):313-322.
19. García-Ramos A, Jaric S, Padial P, Feriche B. Force-Velocity Relationship of Upper
Body Muscles: Traditional Versus Ballistic Bench Press. J Appl Biomech.
2016;32(2):178-185.
20. Hansen K, Cronin J. Training Loads for the Development of Lower Body Muscular
Power During Squatting Movements. Strength Cond J. 2009;31(3):17-33.
21. Soriano MA, Suchomel TJ, Marín PJ. The Optimal Load for Maximal Power
Production During Upper-Body Resistance Exercises: A Meta-Analysis. Sport Med.
2016;45(8):1191-1205.
22. Youdas JW, Amundson CL, Cicero KS, Hahn JJ, Harezlak DT, Hollman JH. Surface
electromyographic activation patterns and elbow joint motion during a pull-up, chin-
up, or perfect-pullupTM rotational exercise. J Strength Cond Res. 2010;24(12):3404-
3414.
23. Sanchez-Moreno M, Pareja-Blanco F, Diaz-Cueli D, González-Badillo JJ.
Determinant factors of pull-up performance in trained athletes. J Sports Med Phys
Fitness. 56(7-8):825-833.
24. Halet KA, Mayhew JL, Murphy C, Fanthorpe J. Relationship of 1 repetition
maximum lat-pull to pull-up and lat-pull repetitions in elite collegiate women
swimmers. J Strength Cond Res. 2009;23(5):1496-1502.
25. Deyhle MR, Hsu H-S, Fairfield TJ, Cadez-Schmidt TL, Gurney BA, Mermier CM.
Relative Importance of Four Muscle Groups for Indoor Rock Climbing Performance.
J Strength Cond Res. 2015;29(7):2006-2014.
26. Morin J-B, Samozino P. Interpreting Power-Force-Velocity Profiles for
Individualized and Specific Training. Int J Sports Physiol Perform. December 2015.
27. Cormie P, McBride JM, McCaulley GO. Validation of power measurement
techniques in dynamic lower body resistance exercises. J Appl Biomech.
2007;23(2):103-118.
28. Cormie P, McCaulley GO, Triplett NT, McBride JM. Optimal loading for maximal
power output during lower-body resistance exercises. Med Sci Sport Exerc.
2007;39(2):340-349.
29. Soriano MA, Jiménez-Reyes P, Rhea MR, Marín PJ. The Optimal Load for Maximal
Power Production During Lower-Body Resistance Exercises: A Meta-Analysis. Sport
Med. 2015;45(8):1191-1205.
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30. Dugan EL, Doyle TLA, Humphries B, Hasson CJ, Newton RU. Determining the
optimal load for jump squats: a review of methods and calculations. J Strength Cond
Res. 2004;18(3):668-674.
31. Brandon R, Howatson G, Strachan F, Hunter AM. Neuromuscular response
differences to power vs strength back squat exercise in elite athletes. Scand J Med Sci
Sports. 2014.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
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© 2017 Human Kinetics, Inc.
Figure 1. Load-velocity linear regression from a typical participant.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
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© 2017 Human Kinetics, Inc.
Figure 2. Force-velocity linear regression and power-velocity quadratic regression. Data
represents average values from the whole group.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
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© 2017 Human Kinetics, Inc.
Figure 3. Correlation between A) F0 and 1-RM/kg and B) Pmax and V0.
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“Load, Force and Power-Velocity Relationships in the Prone Pull-Up Exercise” by Muñoz-López M et al.
International Journal of Sports Physiology and Performance
© 2017 Human Kinetics, Inc.
Table 1: Mean and standard deviations values for F0, V0, Pmax, slope of the force-velocity relationship, mean propulsive velocity without an
external load and mean propulsive velocity at typical percentage of the 1-RM (calculated from individual regression equations)
Measure
G1
G2
G3
Total
F0(N/kg) *
14.8 2.1
16.3 1.1
19.0 2.6
16.7 2.6
V0 (m/s)
2.4 0.9
2.2 0.4
2.0 0.8
2.2 0.7
Pmax (W/kg)
8.6 2.8
9.1 1.9
9.6 3.1
9.1 2.7
F-V Slope *
-7.4 4.1
-7.5 1.8
-10.4 3.4
-8.5 3.5
MPV UP (m/s)*
0.61 0.12
0.80 0.1
0.81 0.15
0.73 0.16
MPV @80%1-RM (m/s)
0.61 0.09
0.61 0.09
0.56 0.12
0.59 0.1
MPV @85%1-RM (m/s)
0.52 0.07
0.52 0.08
0.49 0.1
0.51 0.09
MPV @90%1-RM (m/s)
0.43 0.06
0.44 0.07
0.41 0.09
0.43 0.07
MPV @95%1-RM (m/s)
0.34 0.04
0.35 0.06
0.33 .07
0.34 0.06
MPV @100%1-RM (m/s)
0.25 0.03
0.26 0.06
0.25 0.04
0.26 0.05
*p< 0.001; F0 = maximal theoretical force production at 0 velocity; V0 = maximal theoretical velocity at 0 force; Pmax = theoretical maximal power output; F-V slope =
slope of the force-velocity linear relationship; MPV @ = mean propulsive velocity at each percentage of 1-RM; UP = unweighted pull-up (i.e. 0kg of external load)
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