• Second moment of area moment of inertiaSecond area moment calculation and radius of gyration of common shapes about weak and strong axes
  • Cubic orientation of primary and shear stresses and principal stress cosine rotationCombine primary and shear stresses into equivalent and principal stresses & their cosines
  • Nucleus and electron shells of atomic elementFind, sort and reorganise the properties of nature's atomic elements with active periodic table
  • Formulas included in Engineering PrinciplesCalculate unknowns in principle engineering formulas: stress, moments, power, energy, capstans, fluids, etc.
  • Properties of a triangle with inscribed and circumscribed circlesCalculate the properties of triangles and triangular configurations including inscribed and circumscribed circles
Area Moment calculation1 Combined Stress calculation2 Elements database3 Engineering Principles calculation4 Trigonometry calculation5
PhD Suggestions Assignments... Earth Fuels Pollution Sub-atomic Physics Transport Fact, Fiction & Hmm!

Fact, Fiction and Hmm!

Below are listed some interesting facts that have been discovered by CalQlata’s contributors, including some to which we have no explaination (Hmm!) and would appreciate your input if you have any to give.
We have also included some myths that are frequenctly referred to but that CalQlata has shown scientifically or mathematically to be incorrect (fiction).
If any of these facts are incorrect or misguided, please let us know, but only if supported with scientific, mathematical or independent (i.e. not government or company sponsored) statistics.

No. Fact, Fiction or Hmm! Comments
1. Mathematics
1.1 Pythagoras’ theorem also works in 3-D E.g. a cube
1.2 You can solve unsolvable integrals without using integration Simpson's Rule
2. Science
2.1 The speed of light in a vacuum squared, multiplied by the radius of a neutron equals 100
(irrespective of the units)
Why?
c².r = 299792458² x 1.113284E-15
= 100.05698 m³/s²
Minor corrections to light speed and/or the radius of a neutron could yield exactly 100
2.2 2.1 above divided by 1.5E+12kg closely equates to Isaac Newton’s universal gravitational constant (G)
So what does;
1.5E+12kg (or 1.5E+10kg)
represent?
G = c².r/m ≈ 6.671281904E-11
If G = 6.66666E-11 and c².r = 100
then
G = 100 ÷ 1.5E+12kg
or
G = 1 ÷ 1.5E+10kg
Is either of these a critical mass?
2.3 E = m.c² = m.g.h = m.a.r
so …
r = m.c² / m.a = c² / a {m}
Units for G:
N.m²/kg² = m³/s²/kg = m²/s² . m/kg
Assume that m²/s² = c²
From 2.2 above: G = c².r/m
so …
r = G.m/c²
If r = c² / a then G.m/c² = c² / a
a = c⁴ / G.m = c⁴ / c².r
a = c²/r = 299792458² ÷ 1.113284E-15
a = 8.073008616E+31m/s²
What does 'a' represent?
m = mass
c = speed of light in a vacuum
h = head
g = gravitational acceleration
a = acceleration
r = radius (of a neutron)
G = universal gravitational constant

E.g. could this value represent a limiting acceleration rate at the surface of a critical mass?
2.4 Increasing the quantity of any gas in a mixture of gases without a corresponding increase in heat energy will result in a temperature decrease of the gas mixture See thermodynamic formula for gas mixtures that also applies to the earth’s atmosphere
3. Geo
3.1 The earth’s 'ozone layer' is confined to its atmospheric stratosphere Ozone is generated throughout the entire column of atmospheric oxygen
3.2 There is a hole in the earth's 'ozone layer' It is impossible for a 'hole' to occur in any pressurised gas (Dalton's law)
3.3 Climatic variation is being significantly affected by mankind's activities Mankind’s contribution is inconsequential
3.4 Gases lighter than air rise and gases heavier than air fall to the ground Every atmospheric gas sits on the planet's surface and disperses vertically according to its specific volume and gravitational acceleration independent of all other atmospheric gases
(Dalton's law)
3.5 The earth's tectonic plates are pulled down into the mantle at subduction zones New sea floor is generated at mid-ocean ridges due to upwelling pressure from the mantle.
This generates planar compression in the plates that causes the wrinkles close to the ridge and friction (earthquakes) at the subduction zones.
Pulling the plates at the subduction zone would stretch and thin the plates eliminating wrinkling and the stiction that causes earthquakes.
The plate material is less dense than the mantle material and would not sink into the mantle if it wasn’t pushed.
Therefore, the earth's tectonic plates are pushed down into the mantle at subduction zones.
3.6 A force centre pulls its satellites around with it as it rotates on its axis This is not possible.
Orbiting satellites (starts, planets, moons, etc.) actually rotate their force centre (black-hole, star, planet, etc.) as is shown in a recently released paper on planetary spin.
4. Technology
4.1 Even without a limited slip differential, emergency braking in dry conditions in today's good quality cars should not cause skidding The stopping power from tyres and braking systems in today's cars are evenly matched
5. Materials
5.1 Eutectoid steel contains 0.827170663% carbon and 99.172829337% of iron with respect to mass Eutectoid steel is 100% pearlite
5.2 The limiting mass of carbon that can be suspended in steel is 1.6727229% Above which, the excess carbon will form slag when cooled
6. Political and Social
6.1 The earth's atmospheric temperature is increasing
There is no independent evidence that the earth's atmospheric temperature is increasing; Fig 6
6.2 CO₂ is responsible for the current increase in earth's atmospheric temperature
(see 2.4 & 6.1 above)
Earth’s atmospheric mass comprises < 0.039% CO₂ and contributes only 0.0262% towards its total heat energy
6.3 Reducing atmospheric CO₂ will make the surface of the earth greener A 'greener' earth needs more plant-life, which needs more:
CO₂
liquid water
atmospheric heat (energy)
Therefore, reducing atmospheric CO₂ will make the surface of the earth less green
6.4 The UK government imposes road traffic speed limits for reasons of safety The primary cause of road traffic accidents are:
a) congestion, which is caused by speed limits
and
b) poor road construction and management
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