The Butler County press. [volume] (Hamilton, Ohio) 1900-1946, 1913-09-19
ART OF WEIGHING,
Wonderful Scales That Are Not
Made of Anything.
THE LAW OF FALLING BODIES

BY This, Thanks to Newton and Lieb-
nitz and the Calculus of DifferentiaIs,
the Weight of Suns and Planets May
Be Accurately Determined.
The art of weighing has expanded
into a comprehensive science and can
no longer be called mere art Scales
are made OF metal, but the set herein
described is not made OF anything.
Scales are in hourly use that can
weigh a pencil mark whose length is
onefourth of an inch; or a section of
a hair of equal length. The usual
practice in weighing runs from grains,
ounces, pounds up to tons, usually one
bon, and then up to fifty or more tons
ln railroad weighing, costing hundreds
and thousands of dollars.
But humans would find it quite diff
cult to make scales that would weigh
millions. billions, trillions, quadrillions,
quintillions, sextillions, septillions, oc-
tillions and nonillions of tons, or de-
cillions. An instrument able to weigh
a decillion tons can now be purchased
for one cent--a pencil. The scales are
not made Of metal; instead q set and
fixed specific speed is the next to all
powerful engine used. But it is far
more easy to run locomotive or
steamship without knowing a single
mw of these complex machines than
70 even attempt to use the speed
scales without knowing every minute
detail OF every velocity law Of NOV
Ng bodies.
Let street car start from rest and
yeep moving faster and faster until It's
rate of motion is, say, twenty miles
per hour at the end of one minute. II
The speed of the car increased uniform.
y during the entire minute its aver
tge speed is ten miles per hour, be-
cause 1t started from rest and In
creased to twenty miles per hour. II
a body moves during one minute at
twenty miles per hour the distance
traversed will be speed multiplied by
time, or twenty miles multiplied by
one-sixtieth Of an hour, or one-third
Of a mile; but the average speed In
case of the car is ten miles per hour
so that the distance moved over is hall
as great or one-sixth mile. This is a
fundamental law of nature and is OF
enormous Importance.
Law: For uniformly increasing
speed. starting from rest, the velocity
increases with the time. but the dis
tance traversed is that moved over by
the moving body with its average
speed, or one-half.
If measuring the distance fallen
through by a body let fall at the rig
idly exact beginning of one second OF
time to the rigidly exact end thereof Is
difficult. what shall be said OF finding
how fast it is falling at the end Of the
second. Go try; work from the ages OF
twenty to sixty years daily and you
win fail The fact Is, the time required
to find the automatically exact spe
cific speed Of falling body in still all
was almost that required to measure
the distance Of the nearest star, about
100 years.
Then Atwood invented his machine
and this finally came to some near ap
proach to accuracy But this instru
ment of precision fell far short of the
electrical chronographic apparatus
When all of this very complex mechan
ism is in perfect order 1t releases the
ball at the exact beginning Of a sec
ond and records the absolute time or
the cylinder OF chronograph electric
ally and repeats the process at the alb
solute end OF the second so far as hu
man hands are able to do rigidly accu
rate work.
The moment that those supermen
Newton and LiebnitZ. discovered that
mighty power, beside which all else
human pales into insignificance-the
stupendous calculus or differentials-
every mathematician saw Immediately
that one of natures most magnificent
laws was found in falling bodies. And
then began the relentless and arduous
self imposed work Of more than hun
dred years to find the set specific speed
acquired by falling body at the in
stantaneous and absolutely exact enc
OF the first exactly measured second o1
time since man appeared.
The result is one grand. all potent
all powerful mean or average of cen
fury of world wide measures. the dia
mond OF diamonds, the most valuable
number in possession of man, the as
Economical balance:
Sixteen and one-tenth feet fallen tC
end of the first second; 1922 feet pei
second speed at end of first second.
That is. body let fall will, under
the action of the earth's attraction oi
grayitation. fall 16.1 feet during the
first absolute second of time, and al
the absolute end of the second will be
In motion with a velocity of 32,2 feet
per second These numbers constitute
the most accurate and all powerful
scales in observation-disclosures Lucien Lar
kin In New York American
Turkish Postage Stamps.
Eyary ono who has collected sfqrn