Leg power and hopping stiffness:
relationship with sprint running performance
SOUHAIEL M. CHELLY and CHRISTIAN DENIS
Laboratoire de Physiologie–GIP Exercice, Groupe PPeh, Faculté de Médecine, Saint Etienne, FRANCE
ABSTRACT
CHELLY, S. M., and C. DENIS. Leg power and hopping stiffness: relationship with sprint running performance. Med. Sci. Sports
Exerc., Vol. 33, No. 2, 2001, pp. 326 –333. Purpose: Although sprint performance undoubtedly involves muscle power, the stiffness
of the leg also determines sprint performance while running at maximal velocity. Results that include both of these characteristics have
not been directly obtained in previous studies on human runners. We have therefore studied the link between leg power, leg stiffness,
and sprint performance. Methods: The acceleration and maximal running velocity developed by 11 subjects (age 16 1) during a 40-m
sprint were measured by radar. Their leg muscle volumes were estimated anthropometrically. Leg power was measured by an
ergometric treadmill test and by a hopping test. Each subject executed a maximal sprint acceleration on the treadmill equipped with
force and speed transducers, from which forward power was calculated. A hopping jump test was executed at 2 Hz on a force platform.
Leg stiffness was calculated using the flight and contact times of the hopping test. Results: The treadmill forward leg power was
correlated with both the initial acceleration (r = 0.80, P 0.01) and the maximal running velocity (r = 0.73, P 0.05) during track
sprinting. The leg stiffness calculated from hopping was significantly correlated with the maximal velocity but not with acceleration.
Conclusion: Although muscle power is needed for acceleration and maintaining a maximal velocity in sprint performance, high leg
stiffness may be needed for high running speed. The ability to produce a stiff rebound during the maximal running velocity could be
explored by measuring the stiffness of a rebound during a vertical jump. Key Words: ERGOMETRIC TREADMILL, HOPPING,
MUSCLE VOLUME, RUNNING, SPRING-MASS MODEL
T
he production of external power during the acceler-
ation phase of sprinting has been studied in humans
for many decades (17). Cavagna et al. (7) studied the
power output at each step during sprint running from the
start to the maximal running velocity (9.4 ms
-1
). They
found that the power generated by the contractile compo-
nent of the leg muscles increased in parallel with speed up
to submaximal values (approximately 5 ms
-1
). They pro-
posed that the elastic component of the leg muscles provide
the additional power required to sustain higher speeds up to
maximal values (V
max
). They finally suggested that a sprint
runner uses the work absorbed in his leg muscles (negative
work) at high speed to release further positive work and thus
increase power output. Cavagna et al. (8) also recognized
that a runner bounces more quickly and stiffly (equivalent to
increased elasticity of the support leg) at high running speed
than at low running speeds. The role of limb stiffness in
maximal running velocity has been clearly outlined in other
animals, particularly in lizards (12).
Luthanen and Komi (1980) (24) divided the stance phase
during running into two apparent spring constants: the first
was labeled the apparent spring constant during the eccen-
tric phase, and the second was labeled the apparent spring
constant during the concentric phase. They found that the
apparent spring constant during the eccentric phase in-
creased with speed. Mero and Komi (28) showed an abrupt
increase in the apparent spring constant during the eccentric
phase, between 90% and 100% of maximal running speed in
sprinters. The best sprint runners had the greatest apparent
spring constant during the eccentric phase. These findings
for trained sprinters may be due to specific characteristics
and training-induced adaptations. The question of whether
leg power and leg stiffness may act together to determine the
sprinting ability of teenage runners has never been verified.
We have therefore investigated this relationship.
The studies cited above all used high-speed cameras and
long force platforms to measure the external power. How-
ever, simpler ergometric tools can be used to measure the
power generated during sprinting. Ergometric treadmills
(9 –11,22,23), in which the runner moves a running belt and
pulls a strain gauge-equipped rod joining his/her waist to a
fixed point at the rear of the treadmill, have been employed
to evaluate mechanical power during acceleration. The
mean external power output during acceleration, calculated
from the speed of the belt and from the pulling force, was
500 –900 W for adult women and men (9 –11,22). Maximal
power can also be measured in the laboratory by jumping
tests (5). Mero et al. (30) demonstrated functional links
between jumping and sprinting performance. The mean
power developed during hopping in place can be estimated
from the time the foot is in contact with the ground and from
the flight time (6). The stiffness of the legs can be evaluated
with the spring-mass model using these same variables of
time, especially for hopping in place (26). Hopping in place
has basic mechanical features similar to the spring-mass
model used during forward hopping or running (13).
0195-9131/01/3302-0326/$3.00/0
MEDICINE & SCIENCE IN SPORTS & EXERCISE
®
Copyright © 2001 by the American College of Sports Medicine
Received for publication November 1999.
Accepted for publication May 2000.
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