C. Vandenberg et Jmv. Rayner, THE MOMENT OF INERTIA OF BIRD WINGS AND THE INERTIAL POWER REQUIREMENT FOR FLAPPING FLIGHT, Journal of Experimental Biology, 198(8), 1995, pp. 1655-1664
The agility and manoeuvrability of a flying animal and the inertial po
wer required to flap the wings are related to the moment of inertia of
the wings. The moments of inertia of the wings of 29 bird species and
three bat species were determined using wing strip analysis. We also
measured wing length, wing span, wing area, wing mass and body mass, A
strong correlation (r(2)=0.997) was found between the moment of inert
ia and the product of wing mass and the square of wing length. Using t
his relationship, it was found that all birds that use their wings for
underwater flight had a higher than average moment of inertia. Assumi
ng sinusoidal wing movement, the inertial power requirement was found
to be proportional to (body mass)(0.799), an exponent close to literat
ure values for both metabolic power output and minimum power required
for flight. Ignoring wing retraction, a fairly approximate estimate sh
owed that the inertial power required is 11-15% of the minimum flight
power. If the kinetic energy of the wings is partly converted into aer
odynamic (useful) work at stroke reversal, the power loss due to inert
ial effects may be smaller.