WojtekimbieR wrote on Aug 15
th, 2017 at 11:35am:
I'm very surprised nobody reading this has pointed out that this method is entirely incorrect. It's not how physics work. You cannot calculate range of a projectile this way at all...
What "method"? Drag depends 1 : 1 in cross-section of bodys moved in fluids / gases (unless the bodys are of a more or less aerodynamic shapes like rockets, UFOs or dolphins).
The diameter of a sphere / ball of tungsten (weight 100 g) is half of "diameter" of a ball of stone (with the same weight). So the cross-section of a sphere / ball of tungsten is only a QUARTER (25%) of cross-section of the stone (with the same weight or mass). So it would be to expect that its range even were the forthfold.
But this "second halving" of the tungstens drag gets a "compression" (termination) as a result of its higher range (that is similar to a longer flight time - dont know how to explain better or with all details in english).
Maybe in a physical absolutely correct calculation this had be to calculate more complex for more accuracy ... but anyway: PLEASE (!) go to this side
http://www.schuetzenverein-ettenheim.de/sportschiessen/ballistikrechner.php and try it:
Insert a sphere with weight of 100 g while diameter is 60 mm ... choose a speed of 100 m/s and let the tool calculalte what the shooting-distance is.
Then try the same once more, but this time with diameter 30 mm (also 100 g) and look what range will be the result after calculation.
DO IT !!! (... and you will see it will be nearly the twice of range of the sphere with diameter 60 mm!).
And PLEASE - english is not my mother tounge - do not expect an complex / abstract explanation of math in mathematically expressions from me, because these expressions to me are not only "mathematically", but "foreign language" too in the same time. Partially this would be english "slang", respectively "professional chinese" I never heard and never read.
Do you want to ask your questions in german?
Und darf ich dann auf Mathematisch-Deutsch antworten???
... so "YES", my so-called "relative drags" in my small table are approximations only. But what do you want? Do you want to throw rocks as far as possible, or do you want to calculate an orbital flight way to saturn and to celebrate "science" there?