User:EmperorZelos/Units

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Name		Spine	Vertabrae	Reach	Metric	Imperial
English	Umbrean
Vertebra		<math>\frac{1}{36}</math>	<math>1</math>	<math>\frac{1}{108}</math>	<math>2 \frac{5}{108}</math> cm	<math>\frac{5525}{6858}</math> inch
Spine*		<math>1</math>	<math>36</math>	<math>\frac{1}{3}</math>	<math>73 \frac{2}{3}</math> cm	<math>29 \frac{1}{381}</math> inch
Pendel		<math>\frac{53}{36}</math>	<math>53</math>	<math>\frac{53}{108}</math>	<math>108 \frac{49}{108}</math> cm	<math>42 \frac{4789}{6858}</math> inch
Reach		<math>3</math>	<math>108</math>	<math>1</math>	<math>220.8</math> cm	<math>86 \frac{118}{127}</math> inch
Duocon		<math>144</math>	<math>5184</math>	<math>48</math>	<math>106 \frac{2}{25}</math> m	<math>348 \frac{4}{127}</math> Feet
Octon		<math>1152</math>	<math>41472</math>	<math>384</math>	<math>848 \frac{16}{25}</math> meter	<math>2784 \frac{23}{127}</math> feet (0.527 miles)
League		<math>5760</math>	<math>207360</math>	<math>1920</math>	<math>4243\frac{1}{5}</math> meter	<math>2 \frac{2668}{4191}</math> miles
NautiLeague		<math>11520</math>	<math>414720</math>	<math>3840</math>	<math>8486 \frac{2}{5}</math> meter	<math>5 \frac{1145}{4191}</math> miles

* Standard measure in shopping

Examples
League	km	miles
1	4.24320	2.63660
0.23567	1	0.62137
0.37927	1.60934	1

Angle

Name	Circle fraction	U	Metric
U	<math>\frac{1}{840}</math>	1	<math>\frac{3}{7}</math>°
	<math>\frac{1}{40320}</math>	<math>\frac{1}{48}</math>	<math>\frac{1}{112}</math>°

Area

Name		Def	Spine2	Metric	Imperial
English	Umbrean
Spine2		Spine2	1	<math>\frac{48841}{90000}</math> m2	<math>5 \frac{4396645}{5225796}</math> ft2
Reach2		Reach2	9	<math>4 \frac{8841}{10000}</math> m2	<math>52 \frac{332137}{580644}</math> ft2
Acre		<math>Octon*Reach</math>	3456	<math>1875 \frac{309}{625}</math> m2	<math>20187 \frac{31631}{48387}</math> ft2
Quaduo		<math>Duocon^2</math>	20736	<math>1 \frac{48944}{390625}</math> ha	<math>2 \frac{13712038}{17564481}</math> acre
Occirc		<math>\pi*Octon^2</math>	<math>\pi*</math>	<math>\pi*</math> ha

Volume

Name		Skull	Vert3	Metric	Imperial
English	Umbrean
Eye		<math>\frac{1}{294}</math>	<math>\frac{1}{2}</math>	<math>5 \frac{1090871}{1940598}</math> cm3	<math>\frac{10793861}{56277342}</math> fl oz
Vert3		<math>\frac{1}{147}</math>	<math>1</math>	<math>11 \frac{1205132}{970299}</math> cm3	<math>\frac{10793861}{28138671}</math> fl oz
Pint*		<math>\frac{1}{3}</math>	<math>49</math>	<math>545 \frac{84274}{970299}</math> cm3	<math>18 \frac{22403111}{28138671}</math> fl oz
Skull**		<math>1</math>	<math>147</math>	<math>1635 \frac{84274}{323433}</math> cm3	<math>56 \frac{3643997}{9379557}</math> qt

*Standard unit for purchases or prices at pubs

**Standard unit for purchases or prices in stores

Mass

Name		Heart	Metric	Imperia
English	Umbrean
Bean***		<math>\frac{1}{2520}</math>	<math>\frac{91}{72000}</math> (0.091) g (91) mg	<math>\frac{81}{28125}</math> (0.003235) oz
Tooth	Döndiu	<math>\frac{1}{72}</math>	<math>3 \frac{1}{6}</math> g	<math>\frac{190}{1701}</math> oz
Jaw		<math>\frac{1}{2}</math>	<math>144</math> g	<math>4 \frac{4}{189}</math> oz
Heart		<math>1</math>	<math>228 </math> g	<math>8 \frac{8}{189}</math> oz
Chest		<math>2</math>	<math>456 </math> g	<math>16 \frac{16}{189}</math> oz
Daymeal*		<math>5</math>	<math>1140</math> g	<math>40 \frac{40}{189}</math> oz
Brain**		<math>6</math>	<math>1368</math> g	<math>48 \frac{16}{63}</math> oz
Ustone		<math>24</math>	<math>5472</math> g	<math>195 \frac{1}{63}</math> oz

Metric kg	Imperial lb	Umbrean
69	152.118960908	12 ust 13ht

*Standard unit for purshases of meat

**Standard unit for the rest

Time

Name		Siculus	Semica	Unica	Sextan	Day	Metric
English	Umbrean						Sec	Min	Hour
Siculus		<math>1</math>	<math>48</math>	<math>1152</math>	<math>13824</math>	<math>82944</math>	<math>\frac{13}{12}</math>	<math>\frac{13}{720}</math>	<math>\frac{13}{43200}</math>
Semica		<math>\frac{1}{48}</math>	<math>1</math>	<math>24</math>	<math>288</math>	<math>1728</math>	<math>52</math>	<math>\frac{13}{15}</math>	<math>\frac{13}{900}</math>
Unica		<math>\frac{1}{1152}</math>	<math>\frac{1}{24}</math>	<math>1</math>	<math>12</math>	<math>72</math>	<math>1248</math>	<math>20 \frac{4}{5}</math>	<math>\frac{26}{75}</math>
Sextan		<math>\frac{1}{13824}</math>	<math>\frac{1}{288}</math>	<math>\frac{1}{12}</math>	<math>1</math>	<math>6</math>	<math>14976</math>	<math>249 \frac{3}{5}</math>	<math>4 \frac{4}{25}</math>

Temperature

Name		Def	Metric		Imperial
English	Umbrean		Value	Conversion	Value	Conversion
Degree Umbra (°U)		One 240th of the differens between water boiling and freezing at 1 atm	<math>\frac{5}{12} </math>°C	<math>48+\frac{12}{5}* </math>°C	<math>\frac{3}{4} </math>°F	<math>\frac{16}{3}+\frac{4}{3}*</math>°F

Values
Celcius	Farenheit	Umbrean
0	32	48
37	98.6	136.8
100	212	288

Velocity

Name		Dime	Spine/Third	League/sixthday	Metric
English	Umbrean				m/s	km/h	mph
<math>\frac{Spine}{Third}</math>		<math>\frac{Spine}{Third}</math>	<math>1</math>	<math>\frac{12}{5}</math> (2.4)	<math>\frac{1104}{1625}</math> (0.679385)	<math>\frac{184}{975}</math> (0.188718)	<math>\frac{57500}{490347}</math>
<math>\frac{Pendulum}{Third}</math>		<math>\frac{Pendulum}{Third}</math>	<math>1</math>	<math>\frac{65}{99}</math>	<math>\frac{1472}{1375}</math> (1.07054)	<math>\frac{736}{2475}</math> (0.2973)	<math>\frac{2875000}{16181451}</math>
<math>\frac{League}{Sixthday}</math>		<math>\frac{League}{Sixthday}</math>	<math>\frac{5}{12}</math> (0.416)	<math>\frac{1}{1}</math>	<math>\frac{92}{325}</math> (0.2830769)	<math>\frac{1656}{1625}</math> (1.019077)

Acceleration

Name		Dime	Spine/Third²	Metric
English	Umbrean			m/s²
<math>\frac{Spine}{Third^2}</math>		<math>\frac{Spine}{Third^2}</math>	<math>1</math>	<math>\frac{13248}{21125}</math> (0.627124)
PendelG		<math>(\frac{\pi}{Third})^2*Pendel</math>	<math>\pi^2*\frac{52}{33}</math>	<math>\pi^2*\frac{17664}{17875}</math> (9.753101)

Force

Name		Def	Dim	Metric	Imperia
English	Umbrean
Heartforce		Force of a heart mass in gravity	<math>Heart*PendelG</math>*	<math>\frac{973728 \pi^2}{4296875}</math> (2.23658127227)N
Heartal			<math>Heart*\frac{Spine}{Third^2}</math>	<math>\frac{730296}{5078125}</math> (0.143812135)N

*<math>PendelG=(\frac{\pi}{Time})^2*Length=(\frac{\pi}{Third})^2*Pendel=\pi^2*\frac{Pendel}{Third^2}=\pi^2*\frac{52}{33}*\frac{Spine}{Third^2}~15.5521 \frac{Spine}{Third^2}</math>

Energy

Name		Def	BL	Dim	Metric	Imperia
English	Umbrean
Brain-lift (BL)		Energy to lift a brain mass 1 spine up	<math>1</math>	<math>Brain*PendelG*Spine</math>*	<math>\frac{537497856 \pi^2}{537109375 } \approx \pi^2 </math> (9.8696)J
Brain-Pend		Energy to lift a brain mass 1 spine up	<math>\frac{33}{52}</math>	<math>Brain*PendelG*Pendulum</math>*	<math>\frac{9316629504 \pi^2}{5908203125} </math> (15.5633)J
Atm-Spine		22.5 HV pressure in 1 Spine³	<math>\frac{10820304}{4225}</math> & <math>2561</math>	<math>22.5HV*Spine^3</math>*	<math>\frac{39909215808 \pi^2}{9765625} </math> (15.5633)J

*<math>PendelG=(\frac{\pi}{Time})^2*Length=(\frac{\pi}{Third})^2*Pendel=\pi^2*\frac{Pendel}{Third^2}=\pi^2*\frac{52}{33}*\frac{Spine}{Third^2} /approx 15.5521 \frac{Spine}{Third^2}</math>

Pressure

Name		Dim	HV	HS	Metric	Imperia
English	Umbrean
Heart per Square Vertebra (HV)		<math>1</math>	<math>\frac{1}{1089}</math>	<math>Heartforce/Vert^2</math>	<math>\frac{261954 \pi^2}{575}</math> (4496.31713267)Pa	0.652135692769 PSI
Heart per Square Spine (HS)		<math>1089</math>	<math>1</math>	<math>Heartforce/Vert^2</math>	<math>\frac{2646 \pi^2}{6325}</math> (4.129)Pa	0.652135692769 PSI

Name
Magnitude	HV	HS
Atmospheric Pressure	22.5	24502.5