The Mountaineer. [volume] (Great Salt Lake City [Utah]) 1859-1861, 1860-03-31

Be exactly balanced between II. t.,., 60.
and would have no tendency "a faII hut rss,,,id
continue 70 circulate around She earth g iore
Il - its velocity continued the sane.
have already stated. that : hall cf one
pound weight attached to string one foot
long, would generate q centrifugal force euuni
toita weight, IL II Is made 10 fevulve once
| round III O0S62 seconds
ID Now, II the square root 81 the semi diameter
OF the earth, or the square root Of 20 g28 ,Bsf
feet (which il equal 70 4,6z4 ,2S6l. u multi
piled into .O9362 seconds, the product will
be equal 70 1902 seconds q icll = equal % So
minutes aud % secpndsls this, therefore h the
precise time Ia which q body would revolye
around The earth close 70 Its surface.
Now, the moon d about 90 semi dinmeteu
| Of the earth Distant the square root of which
| u equal 10 T.746: this multiplied Into 6OO2
srconds Willie equal TO S6745 seconds tequal ID
10 hours a. minutes, as seconds. II gravitRfi0n
/ were the same &C all distances this would be
the periodic time OF the moon; but her period
Il about "a days; therefore, her velocity must
be about the 1.60th Of what il would be, on
the suppoBition that grayitaticn retained the
same intensity at ell distances; but the tens
siois Of striuga, when the diltances are the
same, are as the square Of the velocities the
square If Il 90 II equal TO $4,000: herce, the
tcentrifugnl force vt the distance 81 the moon
d only the l.860Oth part of what il II ~ the
huflule tine I1eFcIOfeS IMe ceNtFlS
tEifugal and ccntTipetal forcea In circles are
equal, grayitation niust BE- 5000 times less a.
the distance Of tbs lunar orb than it Il at the
surface Of the earth
Let the earth and moon be connected by 4
string whose length may be represented by III
let the moon be whirled around the earth with
layeloeity Of 81 mite in seconds; and let
the centrifugal force thus generated be fepFes
ented BY IL. 1t is1equired 70 find what cesitTi
forr
were connected with the Sun by q string 400
times l0ngef. and made to whfrl around him
with velocity Of 80 miles In ~ Becondse
By the law IF the distance, the centrifugal
II force on the tension Of the string would be-
L AGO times weaker, than when revolving around
the earth; but. by the law Of the square Of the
II velocity the tension on The string would be 600
.times greater: by dividing the latter number
i BY the former, the quotent will be II; hence
II the centrifugal force which the moon generates
i to revolving around the Sun In company with
/ its primary, 10 n times greater, than that
generated b. her revolution around the
4 earth %"5si & #.:s y. XII: 4.
Il Therefore, IL the Tensions Of the strings repre-,
i sent the gravitation Of the moon, nrAtto the
earth and then 70 the Sun the force Of grayi-
i tation 10 the latter, though 400 timea more
i distant. Is n times greater than 70 the
former: but gravitation increases Is the square
1 Of the distance decreases: let 400 be squared
Ter multiplied Into Itself, the PRODUCT will be
jog, 900; hence, the gIavitntion of the moon 10
the Sun Nnuld be I60, 900 times greater, II
they were brought 400 times neaEef each other
II times l60. coo arc equal TO $50, 600, which
fIepresents the whole force Of the SYM 40 com.
pared with that of the earth, when both bodies
are placed at equal distances from the moon
| Therefore, IL large scales were constructed,
! standing upon the moon; and II $50, 900 eaTths
were placed In one scale, and the Sun In the
other, they would, in their pressure towards
| the lunar orb, balance each other. These mum.
bers are used hs convenient for illustration,
but are not sufficiently exact for Astronomical
purposes. ,..s3.f s....
The mechanical laws which / have explained
constitute q perfect balance In which TO nc
cnFately determine the comparative weights
Of worlds. Khe astronomer Of the present
day Is % familiar with the process Of weighing
worlds as the chemist Ii In weighing
the ingredients which enter into his com.
pounds. ;sssf u: ii :s.s T i I'll
have already con 'inued my lecture 10 nm
unusual length, OF would point out some
other interesting applications Of these wonder
FIJI mechanical laws. The exact mathematical
adjustments Of tho various forces Of nature
the consummAte wisdom and skill exhibited In
every department of the universe, accessible I
to finite minds-the omnipotent power and /
grandeur displayed In the construction of the /
magnificent machinery Of creatIon--pTocl
the majesty and glory Of Him who formed and
governs the mighty fabric.