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(TFT) This can't be right huh?
Explosives like dynamite are well understood these days to the point that
the force can be taylored to suite
the job required, making them difficult to describe generally.
Couple this with the fact that most players see/imagine explosives
"hollywood" style and it can be somewhat
diffacult to call the force generated by a "stick of dynamite" but I got a
confirmation from an old
Mythbusters episode what that agreed with the figure I'd been flirting
around with of ~20,000fps being well
within the threshold for "dynamite" soooo...
Dynamite ~20,000fps or ~3,636 ST
This is fortunate because if I can generalize dynamite in such a fassion,
with diffrent "formulas" modifing
the 20,000fps base, then I can certanly generalise bullets @ ~2,000fps.
(modern, rifle)
Bullets ~2,000fps or ~363 ST
Next we have 200fps which works out too about 135mph...
How to describe 135mph?
The (McWhirter) Guinness Book of Records (84) says;
"It is estimated that the human body reaches 99% of its low-level terminal
velocity after falling 573m 1880ft
(~440 hexes or around 50 battle maps) which takes 13-14 sec (3 turns). This
is 117-125mph at normal
atmospheric pressure and in a random posture."
Note that the acceleration force is always constant, whereas the drag
increases as the square of the speed.
The line reaches an asymptote at about 125mph.
When bearing in mind that 100mph is close to 150fps and 100mph+ pitches are
noteworthy in baseball it seems
reasonable to say that 150 to 200fps encompasses the top range of unassisted
human action.
20fps works out to around 13mph.
When asked "how fast does the average human run?" The kgb Expert Answer is:
The average person can run
anywhere from 10-15 miles per hour depending on health, body type...
2fps makes me think of the clasic Frankenstine walk, thump... thump...
thump..., center of a hexside... center
of hex... center of hexside...
This is also MY average running speed.
So it's all about the energy huh?
Ooooooookay.
I continue to run across the figure of 0.1 horsepower per manday work
w/basic tools. (most recently Technics
and Human Development, Mumford; p. 268 as a figure of 10,000 hp per day from
100,000 man workforce to build
pyramid; an intresting sidenote a count of watermills in England before
Hastings in 1066 found about 8000 for
a population of about one million. At about 2.5 hp per mill, those 8000
mills generate twice as much as the
100,000 man pyramind gang)
So there's Paleolithic man (who uses found objects as tools) who uses found
fire.
As animals are instinctually afraid of fire, this can be considered one of
the first great technological
discoverys.
In the same way that stone tools allow more efficent use of a hunters kill
by allowing access to the long bone
marrow for example, fire allows cooking (partial digestion) that makes meat
more nutritious. This allows
greater access to the foods stored solar energy with less expendature of
energy to get it.
By the Neolithic age man is shapeing and manipulating his found objects, and
useing tools to make tools.
Fire can be made in the Neolithic and was probably used in clearing land
durring the advent of large-scale
agraculture by the end of this period.
I mark the "Neolithic Revoloution" as the point at which a culture makes the
break from nomadic,
hunter/gatherer, animal migration/lunar phases based timekeeping to a
solar/plant growth based system.
This can be as quick and "simple" as a decree, see Constantine (the Great)
or Akhenaten for food for thought
on decrees.
At this point, agraculture kicks population growth in more or less per
anuim. (more in major floodplains, less
elsewhere)
This brings us back to that 0.1 hp per person of work.
Aparently, Egyptian priests told Herodotus that up to 100,000 men worked on
the Great Pyramid at once.
At about 0.5g protien per kg of "ideal body weight" per man per day in food
(just above starvation), this
equates to about 550 footpounds of work over the course of a workday
(10hrs?).
http://www.hitchins.net/PyrCalc.html tells me I can't be TOO far off with
that line of reasoning.
Figures like this lead to slavery for the empire minded (Rome @ 1,000,000
population was said to have as many as 400,000 slaves)
In an attempt to disprove my assumptions about counting DX and IQ as frames
per second I came across the following.
"The USAF, in testing their pilots for visual response time, used a simple
test to see if the pilots could
distinguish small changes in light. In their experiment a picture of an
aircraft was flashed on a screen in a
dark room at 1/220th of a second. Pilots were consistently able to "see" the
afterimage as well as identify
the aircraft. This simple and specific situation not only proves the ability
to percieve 1 image within 1/220
of a second, but the ability to interpret higher FPS."
http://amo.net/NT/02-21-01FPS.html
The fella knows something about video, but his conclusions about the "speed
of sight" being effectivly infinate strike me as being as useful as the
millionth digit of pi.
I will note a practical example of the speed of sight from the relation of
pitcher/batter match-up stories from stuff I've researched for baseball.
I'm thinking of Steve Dalkowski.
I've heard estimates of his speeds up to 115mph useing the +5 to 10mph for
throwing at the measuring device
(motorcycle test?) at aberdeen proving grounds the day after pitching a
game, and +5 to 10mph that he
theoretically would have gained for being on a pitchers mound (15 to 20
inches in the late 50's depending on the field)
"Ted Williams once stood in a spring training batting cage and took one
pitch from Dalkowski. Williams swore
he never saw the ball and claimed that Dalkowski probably was the fastest
pitcher who ever lived."
Ted Williams was said to be able to "see the seams on a fastball".
60.5 feet from mound to plate is about 14 melee hexes.
60fps is about 40mph.
Double that is around 80mph.
The following fastball velocities are Major League Baseball pitcher ratings
Very Above Average 94+ mph
Above Average 92 - 93 mph
Average 89 - 91 mph
Below Average 87 - 88 mph
Very Below Average 85 - 86 mph
Throwing with 3 times the velocity is in the 120mph range of the legend of
Dalkowski anyway.
Okay... this is matching well with the average ST ~10 and max ST "in a
realistic campaign" at 30(ish), but
60fps for "average"? really?
"First Miss Cappy Ogiun, a visitor from Orlando, Fla., tried her speed
yesterday. Her best was 40 feet per
second.
A varied assortment of men followed. The best throw was 86 feet a second,
the second best 84. A man of about
60 years old did a foot for each of his years.
Sponsors recalled that back in 1917, in Bridgeport (Conn.) arms laboratory,
Walter Johnson recorded 134 feet
per second, Christy Mathewson 127 and "Smoky Joe" Wood 124. They used a
gravity drop interval recorder.
The new meter, which gives an immediate reading which engineers said
compared with standard laboratory meter
accuracy, is built in a trailer. You throw into a hole two feet square. Just
inside is a set of photo-electric
tubes, and five feet back is another set. The device measures the ball's
speed between the two points and
flashes it on a scale facing the pitcher."
Source: Richmond (VA) Times Dispatch, June 6, 1939.
So something is going on with "practical perception times" between the 1fps
that an "average" throw covers the 60 feet to the plate, the 2fps that a
'not quite good enough for the majors' pitcher gets and the 3fps of legend
that not even the legendary hitters can "see".
Useing the idea of about a fifth of a second for average reaction times
dosen't only come from the idea of framerates for video (which was probably
built at 60Htz (30/2fr also 24fps for early motion film) because of the
average human reaction curve(a pretty bell)) but also from numerious studies
of human reaction times.
http://www.humanbenchmark.com/tests/reactiontime/stats.php
Twice as fast reaction times come in at 0.1sec and three times as quick is
about 0.07sec to react.
After seeing and choosing a reaction action, there is still the question of
how quickly that action can be preformed which brings us back to that
theroetical 200fps max limit to human action which is 0.02sec to cover 4
feet or just about the 1.3m across a Melee hex sts (itself a body relative
measure to average humans).
Half that speed is 0.04sec and a third of that is 0.06sec or 66.6fps which
is about the average velocity generated for a baseball pitch above.
The distance can be adjusted for the distance of the move, taking into
account a swing from a haymaker to Bruce Lee's 1 inch punch.
Anyone want Cartesian curves ploted on the hex-grid for things like fencing
moves? hee hee hee
I see your Lemniscate and counter with a Folium.
Energy units
Quantities
1.0 joule (J) = one Newton applied over a distance of one meter (= 1 kg
m2/s2).
1.0 joule = 0.239 calories (cal)
1.0 calorie = 4.187 J
1.0 gigajoule (GJ) = 109 joules = 0.948 million Btu = 239 million calories =
278 kWh
1.0 British thermal unit (Btu) = 1055 joules (1.055 kJ)
1.0 Quad = One quadrillion Btu (1015 Btu) = 1.055 exajoules (EJ), or
approximately 172 million barrels of oil equivalent (boe)
1000 Btu/lb = 2.33 gigajoules per tonne (GJ/t)
1000 Btu/US gallon = 0.279 megajoules per liter (MJ/l)
Power
1.0 watt = 1.0 joule/second = 3.413 Btu/hr
1.0 kilowatt (kW) = 3413 Btu/hr = 1.341 horsepower
1.0 kilowatt-hour (kWh) = 3.6 MJ = 3413 Btu
1.0 horsepower (hp) = 550 foot-pounds per second = 2545 Btu per hour = 745.7
watts = 0.746 kW
Energy Costs
$1.00 per million Btu = $0.948/GJ
$1.00/GJ = $1.055 per million Btu
Some common units of measure
1.0 U.S. ton (short ton) = 2000 pounds
1.0 imperial ton (long ton or shipping ton) = 2240 pounds
1.0 metric tonne (tonne) = 1000 kilograms = 2205 pounds
1.0 US gallon = 3.79 liter = 0.833 Imperial gallon
1.0 imperial gallon = 4.55 liter = 1.20 US gallon
1.0 liter = 0.264 US gallon = 0.220 imperial gallon
1.0 US bushel = 0.0352 m3 = 0.97 UK bushel = 56 lb, 25 kg (corn or sorghum)
= 60 lb, 27 kg (wheat or soybeans) = 40 lb, 18 kg (barley)
Areas and crop yields
1.0 hectare = 10,000 m2 (an area 100 m x 100 m, or 328 x 328 ft) = 2.47
acres
1.0 km2 = 100 hectares = 247 acres
1.0 acre = 0.405 hectares
1.0 US ton/acre = 2.24 t/ha
1 metric tonne/hectare = 0.446 ton/acre
100 g/m2 = 1.0 tonne/hectare = 892 lb/acre
for example, a "target" bioenergy crop yield might be: 5.0 US tons/acre
(10,000 lb/acre) = 11.2 tonnes/hectare (1120 g/m2)
(note; aprox 1 football field of land per person to feed each year)
Biomass energy
Cord: a stack of wood comprising 128 cubic feet (3.62 m3); standard
dimensions are 4 x 4 x 8 feet, including air space and bark. One cord
contains approx. 1.2 U.S. tons (oven-dry) = 2400 pounds = 1089 kg
1.0 metric tonne wood = 1.4 cubic meters (solid wood, not stacked)
Energy content of wood fuel (HHV, bone dry) = 18-22 GJ/t (7,600-9,600
Btu/lb)
Energy content of wood fuel (air dry, 20% moisture) = about 15 GJ/t (6,400
Btu/lb)
Energy content of agricultural residues (range due to moisture content) =
10-17 GJ/t (4,300-7,300 Btu/lb)
Metric tonne charcoal = 30 GJ (= 12,800 Btu/lb) (but usually derived from
6-12 t air-dry wood, i.e. 90-180 GJ original energy content)
Metric tonne ethanol = 7.94 petroleum barrels = 1262 liters
ethanol energy content (LHV) = 11,500 Btu/lb = 75,700 Btu/gallon = 26.7 GJ/t
= 21.1 MJ/liter.
HHV for ethanol = 84,000 Btu/gallon = 89 MJ/gallon = 23.4 MJ/liter
ethanol density (average) = 0.79 g/ml ( = metric tonnes/m3)
Metric tonne biodiesel = 37.8 GJ (33.3 - 35.7 MJ/liter)
biodiesel density (average) = 0.88 g/ml ( = metric tonnes/m3)
Fossil fuels
Barrel of oil equivalent (boe) = approx. 6.1 GJ (5.8 million Btu),
equivalent to 1,700 kWh. "Petroleum barrel" is a liquid measure equal to 42
U.S. gallons (35 Imperial gallons or 159 liters); about 7.2 barrels oil are
equivalent to one tonne of oil (metric) = 42-45 GJ.
Gasoline: US gallon = 115,000 Btu = 121 MJ = 32 MJ/liter (LHV). HHV =
125,000 Btu/gallon = 132 MJ/gallon = 35 MJ/liter
Metric tonne gasoline = 8.53 barrels = 1356 liter = 43.5 GJ/t (LHV); 47.3
GJ/t (HHV)
gasoline density (average) = 0.73 g/ml ( = metric tonnes/m3)
Petro-diesel = 130,500 Btu/gallon (36.4 MJ/liter or 42.8 GJ/t)
petro-diesel density (average) = 0.84 g/ml ( = metric tonnes/m3)
Note that the energy content (heating value) of petroleum products per unit
mass is fairly constant, but their density differs significantly - hence the
energy content of a liter, gallon, etc. varies between gasoline, diesel,
kerosene.
Metric tonne coal = 27-30 GJ (bituminous/anthracite); 15-19 GJ
(lignite/sub-bituminous) (the above ranges are equivalent to 11,500-13,000
Btu/lb and 6,500-8,200 Btu/lb).
Note that the energy content (heating value) per unit mass varies greatly
between different "ranks" of coal.
"Typical" coal (rank not specified) usually means bituminous coal, the most
common fuel for power plants (27 GJ/t).
Natural gas: HHV = 1027 Btu/ft3 = 38.3 MJ/m3; LHV = 930 Btu/ft3 = 34.6 MJ/m3
Therm (used for natural gas, methane) = 100,000 Btu (= 105.5 MJ)
Carbon content of fossil fuels and bioenergy feedstocks
coal (average) = 25.4 metric tonnes carbon per terajoule (TJ)
1.0 metric tonne coal = 746 kg carbon
oil (average) = 19.9 metric tonnes carbon / TJ
1.0 US gallon gasoline (0.833 Imperial gallon, 3.79 liter) = 2.42 kg carbon
1.0 US gallon diesel/fuel oil (0.833 Imperial gallon, 3.79 liter) = 2.77 kg
carbon
natural gas (methane) = 14.4 metric tonnes carbon / TJ
1.0 cubic meter natural gas (methane) = 0.49 kg carbon
carbon content of bioenergy feedstocks: approx. 50% for woody crops or wood
waste; approx. 45% for graminaceous (grass) crops or agricultural residues
Woman's ideal body weight:
US measure: 100 pounds for 60 inches in height
+ 5 pounds for each additional inch over 60 inches
Metric: 45 kilograms for 150 centimeters in height
+ 0.85 kilograms for each additional centimeter in height
Men's ideal body weight:
US measure: 106 pounds for 60 inches in height
+ 6 pounds for each additional inch over 60 inches
Metric: 48 kilograms for 150 centimeters in height
+ 1 kilogram for each additional centimeter in height
Minimum Daily Protein Requirement: W.H.O. recommends 0.45 grams of protein
per kilogram of ideal body weight per day
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