A while ago I came across errors in FF&S concerning projectiles. The existing formulas and charts do not produce projectile mass anywhere near real world projectile masses. Use the following formula:
mass projectile = (PI * (diameter / 2)^3) / a
mass projectile in kg
diameter in cm
a is determined by the type of projectile.
artillery --> a = 28
rifles --> a = 18
pistols --> a = 39
revolvers --> a = 33
Note that this is nominal projectile weight, actual weight can be increased or decreased by by 1/2, but it is RARE to be more than 1/3 heavier or lighter than nominal.
Volume for storage of projectiles should be:
volume projectile = PI * (diameter / 2)^2 * diameter * b
b is determined by the type of projectile and percentage difference of its mass from nominal.
Artillery and Rifles:
0.50 to 0.64 --> b = 2.5
0.65 to 0.78 --> b = 3.0
0.79 to 0.92 --> b = 3.5
0.93 to 1.07 --> b = 4.0
1.08 to 1.21 --> b = 4.5
1.22 to 1.35 --> b = 5.0
1.36 to 1.50 --> b = 5.5
Pistols and Revolvers:
0.50 to 0.64 --> b = 1.0
0.65 to 0.78 --> b = 1.4
0.77 to 0.92 --> b = 1.7
0.93 to 1.07 --> b = 2.0
1.08 to 1.23 --> b = 2.3
1.22 to 1.35 --> b = 2.6
1.36 to 1.50 --> b = 3.0
I should probably reduce these charts to a formula, but I haven't gotten around to it yet.
mass projectile = (PI * (diameter / 2)^3) / a
mass projectile in kg
diameter in cm
a is determined by the type of projectile.
artillery --> a = 28
rifles --> a = 18
pistols --> a = 39
revolvers --> a = 33
Note that this is nominal projectile weight, actual weight can be increased or decreased by by 1/2, but it is RARE to be more than 1/3 heavier or lighter than nominal.
Volume for storage of projectiles should be:
volume projectile = PI * (diameter / 2)^2 * diameter * b
b is determined by the type of projectile and percentage difference of its mass from nominal.
Artillery and Rifles:
0.50 to 0.64 --> b = 2.5
0.65 to 0.78 --> b = 3.0
0.79 to 0.92 --> b = 3.5
0.93 to 1.07 --> b = 4.0
1.08 to 1.21 --> b = 4.5
1.22 to 1.35 --> b = 5.0
1.36 to 1.50 --> b = 5.5
Pistols and Revolvers:
0.50 to 0.64 --> b = 1.0
0.65 to 0.78 --> b = 1.4
0.77 to 0.92 --> b = 1.7
0.93 to 1.07 --> b = 2.0
1.08 to 1.23 --> b = 2.3
1.22 to 1.35 --> b = 2.6
1.36 to 1.50 --> b = 3.0
I should probably reduce these charts to a formula, but I haven't gotten around to it yet.