The principles of science : $b a treatise on logic and scientific methodJevons, William Stanley
Philosophy
The principles of science : $b a treatise on logic and scientific method
Jevons, William Stanley
Logic; Science -- Methodology
The standard units of time, space, and mass having been once fixed,
many kinds of magnitude are naturally measured by units derived from
them. From the metre, the unit of linear magnitude follows in the most
obvious manner the centiare or square metre, the unit of superficial
magnitude, and the litre that is the cube of the tenth part of a metre,
the unit of capacity or volume. Velocity of motion is expressed by the
ratio of the space passed over, when the motion is uniform, to the time
occupied; hence the unit of velocity is that of a body which passes
over a unit of space in a unit of time. In physical science the unit of
velocity might be taken as one metre per second. Momentum is measured
by the mass moving, regard being paid both to the amount of matter and
the velocity at which it is moving. Hence the unit of momentum will be
that of a unit volume of matter of the unit density moving with the
unit velocity, or in the French system, a cubic centimetre of water of
the maximum density moving one metre per second.
An accelerating force is measured by the ratio of the momentum
generated to the time occupied, the force being supposed to act
uniformly. The unit of force will therefore be that which generates
a unit of momentum in a unit of time, or which causes, in the French
system, one cubic centimetre of water at maximum density to acquire in
one second a velocity of one metre per second. The force of gravity is
the most familiar kind of force, and as, when acting unimpeded upon any
substance, it produces in a second a velocity of 9·80868 . . metres per
second in Paris, it follows that the absolute unit of force is about
the tenth part of the force of gravity. If we employ British weights
and measures, the absolute unit of force is represented by the gravity
of about half an ounce, since the force of gravity of any portion of
matter acting upon that matter during one second, produces a final
velocity of 32·1889 feet per second or about 32 units of velocity.
Although from its perpetual action and approximate uniformity we find
in gravity the most convenient force for reference, and thus habitually
employ it to estimate quantities of matter, we must remember that it
is only one of many instances of force. Strictly speaking, we should
express weight in terms of force, but practically we express other
forces in terms of weight.
Public-domain text, read in full here on John Shaqi.
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