Robert Chung said:Hansen, et al. 2002. "Crank inertial load affects freely chosen pedal rate
during cycling." Journal of Biomechanics 35: 277-285.
Abstract
Cyclists seek to maximize performance during competition, and gross
efficiency is an important factor affecting performance. Gross
efficiency is itself affected by pedal rate. Thus, it is important to
understand factors that affect freely chosen pedal rate. Crank
inertial load varies greatly during road cycling based on the selected
gear ratio. Nevertheless, the possible influence of crank inertial
load on freely chosen pedal rate and gross efficiency has never been
investigated. This study tested the hypotheses that during cycling
with sub-maximal work rates, a considerable increase in crank inertial
load would cause (1) freely chosen pedal rate to increase, and as a
consequence, (2) gross efficiency to decrease. Furthermore, that it
would cause (3) peak crank torque to increase if a constant pedal rate
was maintained. Subjects cycled on a treadmill at 150 and 250 W, with
low and high crank inertial load, and with preset and freely chosen
pedal rate. Freely chosen pedal rate was higher at high compared with
low crank inertial load. Notably, the change in crank inertial load
affected the freely chosen pedal rate as much as did the 100 W
increase in work rate. Along with freely chosen pedal rate being
higher, gross efficiency at 250 W was lower during cycling with high
compared with low crank inertial load. Peak crank torque was higher
during cycling at 90 rpm with high compared with low crank inertial
load. Possibly, the subjects increased the pedal rate to compensate
for the higher peak crank torque accompanying cycling with high
compared with low crank inertial load.
ID
rotational inertia of each wheel about its axis of rotation 0.1786
(kg m2)
IF
combined rotational inertia of the pedals, crank arms, and chain
wheels about the crank axis 0.0355 (kg m2)
IG
rotational inertia of the freewheel 0.0003 (kg m2)
mB
mass of the bicycle frame1 6.416 (kg)2 (see 2)
mC
mass of the subject (variable, see text) (see 2)
mD
mass of each wheel 1.973 (kg) (see 2)
mF
combined mass of the chain wheels, crank arms, and pedals 1.660
(kg) (see 2)
mG
mass of the freewheel 0.317 (kg) (see 2)
mW
mass on the weight magazine (incl. the weight magazine) (variable,
see text) (see 2)
RD
radius of each wheel 0.3429 (m) (see 2)
RF
number of teeth in the chain wheel (variable, see text) (see 2)
RG
number of teeth in the freewheel (variable, see text) (see 2)
(1) In this context the bicycle frame represents the whole bicycle
minus the wheels, crank arms, and pedals.
(2) Determined in this study.
--
E. Dronkert