Genjitsushugi Yuusha no Oukoku Saikenki - Vol. 5 Ch. 26 - Decisive Battle (4)

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@Sharkexpert12
Err your calculations got more holes than swiss cheese.
1. Pressure drops squared with distance
2. PETN explodes with a multiple of the speed of sound (8500 m/s from a steel tube)
3. The explosive energy of PETN is 5801 Nm/kg or 5810 kJ/kg , a handgrenade only has a few gram.
4. You can't just take the height of a person and square it. Even for a rough calculation the approximation would be 55cm x 150cm (given this is a medieval world, people were around 20cm smaller than today, and you have to move the small area of the head to other parts of the rectangle), which results in 8250cm²/8.25m², a good 1.5m² less than your calculation
5. Pressure is applied evenly to the body, so you have to divide force by area.
6. Black-powder only has a specific energy of 285 MPa *l/kg, PETN 1327 MPa * l/kg and Nitroglycerin is just l33t.

Therefore if a modern handgrenade with PETN is only deadly up to 20m (and even that mainly due to shrapnel) a black powder grenade will be much less deadly.
 
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@Ruhrpottpatriot first off never said it was solid nor would I trust these numbers in the slightest. The point I was trying to get across is explosions hurt and used the most basic on basic napkin math to show that very basic concept. To boil it down yes I knew I was doing stupid math with the wrong formula, however it's also a fictional world where said person had stuff blow up on his back and only lost his shirt. More or less it was pointing out how little authors care about reality when they write stuff where people just have something that would erase a normal person from existence happen and only slightly inconvenience a character. If it read like I was taking it seriously sorry I guess don't mean to offend people smarter then me.

Feel free to do the full calculation tho I would be intrested to see it as I haven't done anything regarding shockwaves for a good while.
 

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