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surface calculation? (don't really know what to write here)

Posted: Thu Jun 19, 2008 5:21 pm
by SpudFarm
so:
my calculations say that the golf ball barrel on larda is 6.92 times as big as the barrel on my marble gun. so i multiplied 5 with 6.92 and got 34.6. that means that the projectile in larda needs to be 34.6g in larda to get the same surface area:weight.

does that mean if i had the same c:b ratio, barrel length, pressure and valve i would have got the same velocities on both the cannons?

correct my crappy math.

Posted: Thu Jun 19, 2008 7:07 pm
by bigbob12345
No it doesnt
There are many other factors that influence the power the cannon can put out. I would say that the velocity of your GB hybrid would be within 100fps of your marble gun(not considering heated gases)if you had those things you listed.

And isnt your marble gun a pneumatic? If it is than the gasses wouldnt be heated so your hybrid would get a faster muzzel velocity, I wouldnt know how much faster but it should be noticeable.

Hopefully that made sense

Posted: Thu Jun 19, 2008 7:14 pm
by SpudFarm
it did, but i am talking about 150psi pneumatic shot

Posted: Thu Jun 19, 2008 8:21 pm
by POLAND_SPUD
mass does not increase linearly as you increase the size of a spherical projectile.... (note that I am assuming that you meant 'diameter' when you said surface)


here is a simple example -> a 6mm ball bearing weights about 0.8g but a 12.7mm one weights about 7.5 g...

Posted: Thu Jun 19, 2008 9:09 pm
by rp181
Wouldnt the mass go up exponentially. As you add layer after layer, theres more surface area to cover, increasing more and more weight.

Posted: Fri Jun 20, 2008 12:44 am
by jimmy101
rp181 wrote:Wouldnt the mass go up exponentially. As you add layer after layer, theres more surface area to cover, increasing more and more weight.
Mass goes up as the cube of the radius. The volume of a sphere is 4/3*Pi*r^3. So, if you double the radius you increase the volume by 2^3=8. If the material the two spheres is made of is the same the mass goes up by the same amount.

The cross sectional area goes up as the square of the radius. Area=Pi*r^2

As you increase the ammo and barrel diameter, and if you are using spherical ammo, then the mass of the ammo goes up much faster than the cross sectional area. That means it takes higher pressures to get the larger ammo up to the same speed as the smaller ammo from a smaller barrel. This only applies to spherical ammo, the relationship is different for other shapes.

In ballistics, there is a realtionship called the sectional density; mass/(cross sectional area). Ammos with high sectional density carry farther than ammo with low sectional density. Compare a golfball with a ping-pong ball. About the same areas but the golfball is much more massive and will carry farther for a given muzzle velocity than will the pinp-pong ball. Sectional density is also relevant when you are talking about internal ballistics (the ammo moving through the barrel). As you change the sectional density the acceleration of the ammo changes. Higher sectinal densities means the ammo accelerates slower, all other things being equal. Since sectional density is
mass/area = 4/3*Pi*r^3*density/Pi*r^2 = 4/3*r*density

So the sectional density changes with the radius and that affects how much pressure you need to get to a particular muzzle velocity.

I believe if you maintain the same sectional density as you scale the gun the muzzle velocity should stay the same, but we are neglecting differences in friction, valves, CB ratio etc.

Posted: Fri Jun 20, 2008 9:54 am
by SpudFarm
i PM you Jimmy since you talk to advanced for my math :D