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*To*: <tft@brainiac.com>*Subject*: Re: (TFT) 1 point of 'damage' vs. 1 point of Fatigue*From*: "Jay Carlisle" <Jay_Carlisle@charter.net>*Date*: Fri, 6 May 2011 19:01:12 -0700*In-reply-to*: <p06240808c9e9eec2ad2b@[129.162.152.69]>*References*: <201105042309.p44N95r5004196@zappa.brainiac.com> <p06240808c9e9eec2ad2b@[129.162.152.69]>*Reply-to*: tft@brainiac.com*Sender*: tft-admin@brainiac.com

Subject: Re: (TFT) 1 point of 'damage' vs. 1 point of Fatigue

At 19:09 -0400 5/4/11, PvK wrote:* horsepower is a power measure, closer to force.Here's my breakdown on things: To Break: To Move: --------- --------- Unit: Energy Momentum Rate: Power Force Or in words, *breaking* a certain amount of stuff (armor, bones, skin, etc.) takes a certain amount of energy. *Moving* a certain amount of stuff (boxes, "pushing back" an opponent, etc.) takes a certain amount of momentum. How quick you can put energy into something (sword, punching bag, etc.) depends on how much Power you can generate. How quick you can change the momentum of something (wheelbarrow, door, etc.) depends on how much Force you can generate. Confusingly, the two columns are related by *distance* through which the force acts. This is what throws most people. A 200-Newton force, applied to a nearly stationary object (like an ocean liner) will transfer momentum at the same rate as if it were applied to a highly mobile object (like an arrow). At the end of one second, both the ocean liner and the arrow will have 200 N-s of force. If you crunch on the unit N-s, it comes out to: (kg m/s^2) * s = kg m/s which is mass times velocity, or momentum. The arrow, although it has the same *Momentum*, will have vastly more *Energy* than the ocean liner, because the 200-N force acted on it through a very long distance (because it started moving at the beginning of the second and kept accelerating all second long). So, to generate a lot of Energy quickly, you need *both* to put a lot of force on an object, *and* to keep applying the same force while the object moves a long way. There is an interesting trade-off having to do with the mass of the object - too light, and your arm (or whatever you are using to apply the force) can't move along with it. Too heavy, and the maximum force you can apply won't accelerate it much, so you can't put much energy into it in a given length of time. Conversely, a lever allows you to multiply the *force* you are applying to something, but *not* the Power you are putting into it! The higher force is counteracted by a slower motion of the short end of the lever, so the force * distance/time = Power is the same. I don't think it's possible to simplify the above much farther and stay consistent with real-world physics. Hope this helps.

Fantastically put Sir!

http://wiki.answers.com/Q/What_force_is_required_to_break_skin_with_a_pointed_object_such_as_a_blunt_samurai_that_still_has_a_point_or_a_fork Answer: 5 pounds of pressure http://pih.sagepub.com/content/213/6/493.full.pdf+html

1 Newton is ~0.2248 foot pounds. ~3.28 Newton's is 1 newton meter.

http://wiki.answers.com/Q/How_much_force_does_it_typically_take_to_bruise_the_human_body Answer: 20 psi

femur (upper leg) 167 humerus (upper arm) 132 radius (forearm) 114 tibia (shin) 159 cervical vertebrae (neck) 10 lumbar vertebrae (lower back) 5 1 MPa = 145.0376 psi

http://homepage.mac.com/wis/Personal/lectures/musculoskeletal/AssessingMuscleFunction.pdf

The head / 1 HU by 1 HU The chin to the nipples / 1 HU by 2 HU The nipples to the navel / 1 HU by 2 HU The navel to the groin / 1 HU by 2 HU The groin to the middle of the thigh / 1 HU each The middle of the thigh to the knee / 1 HU each The knee to the middle of the shin / 1 HU each The middle of the shin to the feet / 1 HU each Each arm is 1.5 HU from shoulder to elbow and 1.5 HU from elbow to wrist

Head 4.5 Each arm 4.5 Chest 9 Abdomen 9 Each leg 9

Each quadrant is ~0.5 HU.

Midline - uterus, bladder http://www.muscleandmotion.com/freeversion.aspx?gclid=CIyQ3cz306gCFQkMbAod2lqjFg

28 skull bones (8 cranial, 14 facial, and 6 ear bones)

the pelvic bones (3 fused bones called the coxal bone, or Os Coxae) 30 bones in each of the arms and legs (a total of 120)

When using square-hexes each square is ~13 inches a side.

Let's look at cutting an arm off with a sword. Bear in mind that the dice describe a bell curve...

http://www.shopwushu.com/pages.php?pageid=13 So here's some stuff on sword swings http://www.thearma.org/spotlight/GTA/motions_and_impacts.htm

http://www.ajcn.org/content/27/10/1052.full.pdf

I call 1 point of ST 5.5 pounds moved 1 foot in 1 second. How much does a sword weigh? http://www.thehaca.com/essays/weights.htm

1.3kg is ~2.86lbs. So 1 point of ST swings an average medieval sword ~2fps or around 1.36 mph. Joe Average gets a velocity of around 13.63 mph. At ST20 the velocity is around 27.27 mph. 60 fps is about 41 mph. Let's see if this is in the ball park at all. Can't seem to find specific data for swords... let's see... http://paws.kettering.edu/~drussell/bats-new/batw8.html Bat Swing Speed Batted Ball Velocity 20.5mph (9.2m/s) 62.0mph (27.7m/s) 27.3mph (12.1m/s) 68.8mph (30.7m/s) 34.3mph (15.3m/s) 76.2mph (34.0m/s) 41.0mph (18.3m/s) 83.8mph (37.4m/s) 47.9mph (21.4m/s) 91.4mph (40.8m/s) Not too horrible. hummmm F = =m * v^2 To get joules I'm in metric. Half of 1.3 kg is 0.65 kg.

160 / 5.5 = 29. However. ST20 comes in at ~95 joules or roughly 70 foot pounds. 70 foot pounds isn't 13ST.

The humerus diameter is about 20mm or around three quarters of an inch. http://journals.pepublishing.com/content/p903q75565487265/

Just for jollys ~3000 joules per gram of TNT 1 average sized d6 ~5 grams ~5d6 across 3.25" ~125 d6 in one scale-hex cube

~1,000,000 grams per ton

1900 foot air burst Earths curvature @ 100 miles is ~1650 feet

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**References**:**Re: (TFT) 1 point of 'damage' vs. 1 point of Fatigue***From:*Mark Tapley <mtapley@swri.edu>

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