by muon200 » Thu Dec 25, 2014 10:31 am
Rigor for exponents is next...
Issac Newton has written 330 years ago...
f is force of gravity
for a 1 kilogram mass find the force
f = GM 1kg /R^2
G = 6.6719199 x 10^-11 (meter^3/kg sec^2)
M = 5.9736 x 10^24 kg
R = 6371000 meter
so R^2 = 4.0589641 x 10^13 meter^2
f = 9.819101557 Newtons of force for 1kg
sanity check sequence
ignore exponent, get mantissa
(6.6 x 5.97 / 40589641000)
39.8/40 = 9.9
Exponent Accounting Rigor Department
f = GM 1kg /R^2
G = 6.6719199 x 10^-11 (meter^3/kg sec^2)
M = 5.9736 x 10^24 kg
R = 6371000 meter
so R^2 = 40589641000 meter^2
f = 9.819101557 Newtons of force
f = 6.6719199 x 10^-11 (meter^3/kg sec^2) 5.9736 x 10^24 kg x 1kg /R^2
R^2 = 4.0589641 x 10^13
Exponents -11 +24 - 13 = 0 Good!
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December 25, 2014 Alan Folmsbee has written
f is the force of gravity.
find the force from a 1 kilogram mass
f = spacevar x mastime
spacevar = 13.159472 square meters r/R^2
mastime = M 1kg /sqrt(tau) (1/kg sec^1.5)
r = 10^-15 meters
R = 6371000 meter
so R^2 = 4.0589641 x 10^13 meter^2
M = 5.9736 x 10^24 kg
tau = 3.88 nanoseconds will be used today. This is a variable for the Conservation of Continuum for the proton volume.
The Square Root of tau is 1.9697715 sqrt(ns)
or it can be written as
6.2289646e-5 sqrt(seconds)
get mantissas
spacevar = 13.159472/40589641000 = 3.242076469
mastime = 5.9736/sqrt(3.88ns)
mastime = 5.9736/1.9697715 = 3.0326360189
force is 9.8320378 Newtons
This matches Newton and Folmsbee force results as close as you want to adjust tau from 3.88 nanoseconds to a better value.
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Begin sanity check sequence and exponent accounting rigor.
spacevar = 13.159472 square meters r/R^2
mastime = M 1kg /sqrt(tau) (1/kg sec^1.5)
find exponents only
spacevar = 1.3159472 x 10^1 x 10^-15/4.0589641 x 10^13 meter^2
1-15-13 = -27
for exponents of mastime use this sqrt(tau) = 6.2289646e-5 ns but use 1.9697715 mantissa
mastime = 5.97 x 10^+24 x 1 x/1.9697715e-5
24 +5 = 29
mind mantissas
spacevar 1.3159472/4.0589641 = .3242076469 x 10^-27
spacevar = 3.242076469 x 10^-28
mastime 5.9736 x 1/1.9697715 = 3.032636
3.032636 x 10^29
mastime = 3.032636 x 10^29
force = 3.032636 x 10^29 x 3.242076469 x 10^-28
force = f = 9.832037 Newtons
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Note The use of tau = 3.88 nanoseconds causes a problem when separately figuring exponents and mantissas.
sqrt(tau) = sqrt(3.88 ns) = sqrt(3.88) x sqrt(ns) = 6x10-5 sqrt(seconds)
more later...