P. Zamparo et al., Energy cost and mechanical efficiency of riding a four-wheeled, human-powered, recumbent vehicle, EUR J A PHY, 83(6), 2000, pp. 499-505
Oxygen consumption at steady state (VO2, l(.)min(-1)) and mechanical power
(W, W) were measured in five subjects riding a human-powered vehicle (HPV,
the Karbyk, a four-wheeled recumbent cycle) on a flat concrete road at cons
tant sub-maximal speeds. The external mechanical work spent per unit of dis
tance (W, J(.)m(-1)), as calculated from the ratio of (W) over dot to the s
peed (v, m(.)s(-1)), was found to increase with the square of v: (W) over d
ot = 8.12 + (0.262(.)v(2)) (r = 0.986, n = 31), where the first term repres
ents the mechanical energy wasted, over a unit of distance, against frictio
nal forces (rolling resistance, R-r), and the second term (k(.)v(2)) is the
work performed, per unit distance, to overcome the air drag. The rolling c
oefficient (C-r, obtained dividing R-r by m(.)g, where m is the overall mas
s and g is the acceleration of gravity) amounted to [mean (SD)] 0.0084 (0.0
008), that is about 60% higher than that of a racing bicycle. The drag coef
ficient was calculated from the measured values of k, air density (rho) and
frontal area (A) [C-x = k(.)(0.5(.)A(.)rho)(-1)], and amounted to 1.067 (0
.029), that is about 20% higher than that of a racing bicycle. The energy c
ost of riding the HPV (C-k, J(.)m(-1)) was measured from the ratio of metab
olic power above rest (net (V) over dot O-2, expressed in J(.)s(-1)) to the
speed (v, m(.)s(-1)); the value of this parameter increased with the squar
e of v, as described by: C-k = 61.45 + (0.675(.)v(2)) (r = 0.711, n = 23).
The net mechanical efficiency (eta) was calculated from the ratio of W to C
k: over the investigated speed range this turned out to be 0.22 (0.021). Be
st performance times (BPTs) of a "typical" elite athlete riding the Karbyk
were calculated over the distances of 1, 5 and 10 km: these were about 8% l
onger than the BPTs calculated, on the same subjects, when riding a convent
ional racing bicycle.