I think that you are starting from a false premise:
There are two modern temperature scales in use today, both based
on angle measurement...
Jim
On 2016-08-31 15:05, Kaimbridge M. GoldChild wrote:
In terms of temperature measurement, it would seem that both the
Fahrenheit *and* Celsius scales are flawed.
In angle measurement, there is the raw radian—where 1 radian along a
circleʼs circumference equals its radius—and two other, more user
friendly magnitudes, the degree (D°) and centesimal degree, or gradian
(Hᵍ):
1ᵍ = .9°; 1° = 1.111111...ᵍ;
Right Angle = 90° = 100ᵍ;
Straight Angle = 180° = 200ᵍ;
Full Angle = 360° = 400ᵍ;
There are two modern temperature scales in use today, both based
on angle measurement, and each having two different rates/intervals with
different baselines or “offsets”—two for degrees (Fahrenheit, “°F”, and
Rankine, “°R”) and two for gradians (Celsius, “°C”, and Kelvin, “K”,
with no “ᵍ” or “°”).
Both Rankine and Kelvin are based on 0 being absolute zero (i.e.,
all thermal motion ceases), while Celsius is based on 0 being the
freezing point of water and Fahrenheit being the lowest freezing
point for brine (a specific salt water mixture).
One flaw (or at least discrepancy) is that the freezing-boiling point
spread for Fahrenheit is 180°/200ᵍ (a straight angle), while for Celsius
it is only 90°/100ᵍ (a right angle).
And with Fahrenheit, there is the “+32” offset.
Back when they adjusted and made Celsius the SI temperature
standard, wouldnʼt it have been better to create a “straight angle”
degree/gradian set (where º = Crtl+Shft+BA
and ᵍ = Crtl+Shft+1D4D), D°S or just Dº equals HᵍS or just Hᵍ, and have
either just gotten rid of the “32” and designated Fahrenheit as being
from 0-180° (rather than 32-212°) and used that as the standard, or—if
they particularly wanted a gradian based scale—double what is now known
as Celsius, so it would range from 0-200ᵍ, thereby making it more
precise than Fahrenheit (since 1ᵍ = .9° and 1 °C = 2ᵍS = 1.8°S),
thus 45º = 45°S = 77 °F = 25 °C = 50ᵍS = 50ᵍ?
(Since it is a direct angle based scale, I would suggest that there be
no space between the number and °S/ᵍS.)
Or, if they wanted a degree scale corresponding to the gradian Celsius,
reduce Fahrenheit to half its size, without the offset: 1 °F_h = 2 °F,
thus having a freezing-boiling point range of 0-90°F_h (0-100ᵍ)—though,
as sometimes Celsius is expressed in half increments, I would think
either 0-180º or 0-200ᵍ would be the best scale.
From all this, the following temperatures relate as such:
[ -491.67º =-459.67 °F = 0 °R = 0 K =-273.15 °C = -546.3ᵍ ]
| | | | |
0º = 32 °F = 491.67 °R = 273.15 K = 0 °C = 0ᵍ
9º = 41 °F = 500.67 °R = 278.15 K = 5 °C = 10ᵍ
18º = 50 °F = 509.67 °R = 283.15 K = 10 °C = 20ᵍ
----------------------------------------------------
22.5º =54.5 °F = 514.17 °R = 285.65 K =12.5 °C = 25ᵍ
30º = 62 °F = 521.67 °R ≈ 289.82 K ≈16.7 °C ≈33.3ᵍ
45º = 77 °F = 536.67 °R = 298.15 K = 25 °C = 50ᵍ
60º = 92 °F = 551.67 °R ≈ 306.48 K ≈33.3 °C ≈66.7ᵍ
66.6º =98.6 °F = 558.27 °R = 310.15 K = 37 °C = 74ᵍ
67.5º =99.5 °F = 559.17 °R = 310.65 K =37.5 °C = 75ᵍ
----------------------------------------------------
70º = 102 °F = 561.67 °R ≈ 312.05 K ≈38.9 °C ≈77.8ᵍ
90º = 122 °F = 581.67 °R = 323.15 K = 50 °C = 100ᵍ
180º = 212 °F = 671.67 °R = 373.15 K = 100 °C = 200ᵍ
Thus the extreme human “comfort zone” is about 25-75ᵍ (22.5-67.5º), with
a narrower, more moderate “comfort zone” of about 30-60º (33.3-66.7ᵍ)!
Is/was such a °S and/or ᵍS scale in use or ever considered?
Finally, on the USMA temperature page, it says that “the freezing and
boiling temperatures of water are whole numbers, but not round numbers
as in the Celsius temperature scale”.
What does that mean?
~Kaimbridge~
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