Abstract
The Greatest Allowable Speed of Movement
.—Consider a series of “similar animals ” of different size and let the linear dimensions of any individual of the series be chacterised by the length
l
. Let M be the mass of one of its limbs, and
v
the greatest velocity it can attain in that limb. Then the momentum of the limb is proportional to M
v
. Now this momentum is created at the beginning of a movement, or destroyed at the end of a movement, by a force F acting for a time
t
; and we may write, neglecting constants, M
v
= F
t
. Now
t
, the time occupied in producing or checking a movement, is proportional to
l/v
, while M is proportional to
l
3
, so that, again neglecting constants,
l
3
= F
l
/
v
.
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