.20g vs.
.25g
Article written by Jared, Mechanical
Engineer and Airsoft Player published March 2005
So you finally bought your first AEG, gas, or bolt airsoft
gun and the next thing on your mind is shooting it. Before you
can do that, you’ll need some bbs, but which weight should you
buy? There are numerous weights of bbs out there available for
purchase starting with weights as low as .12 gram all the way
up to .88 gram carbon steel bbs. The majority of the bbs sold
today are .20 gram. As you go up in weight, you will go up in
price and down in quantity of your bag of ammo. But who cares
about the weight of the ammo you buy? Most people want the
most for their money, so why not go with the cheapest .20 gram
bbs you can find?
There have been numerous field studies performed that deal
with specific bb weights related to accuracy, fps, and range.
Since these are the three main areas of study for airsoft
ballistics, we should look at them more in depth than just
recording data trends from the field. Although this method of
using statistical data to form a trend best represents actual
effects in these three areas, is it possible to apply science
and physics behind these findings to further knowledge in
these specific areas?
The answer is yes. The study outlined in the following
paragraphs shows the effects of three variables on airsoft
ammo. These three variables are time, fps, and distance. The
main reason for this study was to find downrange velocities of
certain bb weights at varying distances and specific time
intervals. This particular study uses a theoretical airsoft
gun firing at 85m/s (278.87 fps) and compares the relations
between .20 and .25 gram ammo. It can be altered to any muzzle
fps as well as any ammo to show the desired results on the
tables and graphs from only two inputs (bb weight and initial
m/s). This study not only includes the effect of specific bb
weights and initial muzzle velocities but also uses an
exponentially changing drag coefficient and corresponding
interval velocity to account for the drag forces that act on
the bb during flight. Without these drag forces, the bbs
velocity at every distance would be constant. We know this is
now true because it hurts much worse to be hit by a bb from 10
feet versus 100 feet away.
The spreadsheet below has many columns of numbers and
formulas that are important to the study, but not directly
relevant to understanding the final result. They are all in SI
units, not English, so do not be confused. The final results
are in English units since most of us prefer and understand a
measure in feet versus meters. This first sheet shows a .20
gram bb fired at a theoretical stock fps of 85 m/s (278.87
fps). For those interested in details, the variables from left
to right are mass of bb in grams, initial velocity in m/s,
time, total distance traveled in meters, coefficient of drag,
area of bb perpendicular to velocity flow, the density of air
at STP (standard temperature and pressure), force of drag in
Newtons, acceleration in meters per second^2, velocity in fps,
time, and total distance traveled in feet.
|
INPUT |
|
OUTPUT |
|
|
|
|
|
|
m
(gram) |
v (t)
(m/s) |
t
(sec) |
x(t)
(m) |
Fd (drag force
N) |
a
(m/s^2) |
v (t)
(fps) |
t
(sec) |
x(t)
(ft) |
|
0.20 |
85.00 |
0.0 |
0.00 |
0.03062363 |
153.118 |
278.87 |
0.0 |
0.00 |
|
0.20 |
69.69 |
0.1 |
6.97 |
0.02058435 |
102.922 |
228.63 |
0.1 |
22.86 |
|
0.20 |
59.40 |
0.2 |
12.91 |
0.01495317 |
74.766 |
194.87 |
0.2 |
42.35 |
|
0.20 |
51.92 |
0.3 |
18.10 |
0.01142559 |
57.128 |
170.34 |
0.3 |
59.38 |
|
0.20 |
46.21 |
0.4 |
22.72 |
0.00904956 |
45.248 |
151.59 |
0.4 |
74.54 |
|
0.20 |
41.68 |
0.5 |
26.89 |
0.00736398 |
36.820 |
136.75 |
0.5 |
88.22 |
|
0.20 |
38.00 |
0.6 |
30.69 |
0.00612044 |
30.602 |
124.67 |
0.6 |
100.69 |
|
0.20 |
34.94 |
0.7 |
34.18 |
0.00517435 |
25.872 |
114.63 |
0.7 |
112.15 |
|
0.20 |
32.35 |
0.8 |
37.42 |
0.00443643 |
22.182 |
106.14 |
0.8 |
122.76 |
|
0.20 |
30.13 |
0.9 |
40.43 |
0.00384893 |
19.245 |
98.86 |
0.9 |
132.65 |
|
0.20 |
28.21 |
1.0 |
43.25 |
0.00337302 |
16.865 |
92.55 |
1.0 |
141.90 |
|
0.20 |
26.52 |
1.1 |
45.91 |
0.00298176 |
14.909 |
87.02 |
1.1 |
150.61 |
|
0.20 |
25.03 |
1.2 |
48.41 |
0.00265597 |
13.280 |
82.13 |
1.2 |
158.82 |
|
0.20 |
23.70 |
1.3 |
50.78 |
0.00238165 |
11.908 |
77.77 |
1.3 |
166.60 |
|
0.20 |
22.51 |
1.4 |
53.03 |
0.00214837 |
10.742 |
73.86 |
1.4 |
173.98 |
|
0.20 |
21.44 |
1.5 |
55.17 |
0.00194825 |
9.741 |
70.34 |
1.5 |
181.02 |
|
0.20 |
20.47 |
1.6 |
57.22 |
0.00177523 |
8.876 |
67.14 |
1.6 |
187.73 |
|
0.20 |
19.58 |
1.7 |
59.18 |
0.00162458 |
8.123 |
64.23 |
1.7 |
194.15 |
|
0.20 |
18.77 |
1.8 |
61.05 |
0.00149257 |
7.463 |
61.57 |
1.8 |
200.31 |
|
0.20 |
18.02 |
1.9 |
62.86 |
0.00137621 |
6.881 |
59.12 |
1.9 |
206.22 |
|
0.20 |
17.33 |
2.0 |
64.59 |
0.00127311 |
6.366 |
56.86 |
2.0 |
211.91 |
|
0.20 |
16.69 |
2.1 |
66.26 |
0.00118131 |
5.907 |
54.77 |
2.1 |
217.38 |
|
0.20 |
16.10 |
2.2 |
67.87 |
0.00109919 |
5.496 |
52.83 |
2.2 |
222.67 |
|
0.20 |
15.55 |
2.3 |
69.43 |
0.00102545 |
5.127 |
51.03 |
2.3 |
227.77 |
|
0.20 |
15.04 |
2.4 |
70.93 |
0.00095896 |
4.795 |
49.35 |
2.4 |
232.71 |
|
0.20 |
14.56 |
2.5 |
72.39 |
0.00089879 |
4.494 |
47.77 |
2.5 |
237.48 |
|
0.20 |
14.11 |
2.6 |
73.80 |
0.00084417 |
4.221 |
46.30 |
2.6 |
242.11 |
|
0.20 |
13.69 |
2.7 |
75.17 |
0.00079443 |
3.972 |
44.92 |
2.7 |
246.60 |
|
0.20 |
13.29 |
2.8 |
76.50 |
0.00074900 |
3.745 |
43.61 |
2.8 |
250.97 |
|
0.20 |
12.92 |
2.9 |
77.79 |
0.00070739 |
3.537 |
42.38 |
2.9 |
255.20 |
|
0.20 |
12.57 |
3.0 |
79.04 |
0.00066919 |
3.346 |
41.22 |
3.0 |
259.33 | *The
chart assumes 3 constants: Drag=0.47, BB Area= 0.00001395 and
Air Density=1.293
This sheet shows the effects of a .20 gram bb fired at 85
m/s (278.87 fps) over a three second time period with
0.1-second time measurement intervals. Although we know that a
bb fired from a stock gun at an almost horizontal shot will
not stay in the air for 3 seconds, it is important to show the
trend involved with this length of time. This length of time
will not affect our final results because they are located all
within a 1 second time frame. The last three columns are what
we are interested in. They show, from left to right, the bb
velocity in fps, the time corresponding to the velocity, and
the distance in feet at the same time.
The same variables are used in the sheet for .25 gram bbs.
Please note that the same theoretical airsoft gun is used, so
the initial velocity is reduced (from 85 m/s to 76.02 m/s) to
account for the heavier bb that retains the same amount of
joules of energy. If this is not easy to understand, Covert of
Canton has the formula for joule energy and a link to an
online joule calculator on their website that can be found
here http://dan.mahonstudios.com/covertofcanton/insidepages/about.cfm
|
m
(gram) |
v (t)
(m/s) |
t
(sec) |
x(t)
(m) |
Fd (drag force
N) |
a
(m/s^2) |
v (t)
(fps) |
t
(sec) |
x(t)
(ft) |
|
0.25 |
76.03 |
0.0 |
0.00 |
0.02449870 |
97.995 |
249.43 |
0.0 |
0.00 |
|
0.25 |
66.23 |
0.1 |
6.62 |
0.01859014 |
74.361 |
217.28 |
0.1 |
21.73 |
|
0.25 |
58.79 |
0.2 |
12.50 |
0.01464983 |
58.599 |
192.88 |
0.2 |
41.02 |
|
0.25 |
52.93 |
0.3 |
17.79 |
0.01187494 |
47.500 |
173.65 |
0.3 |
58.38 |
|
0.25 |
48.18 |
0.4 |
22.61 |
0.00983926 |
39.357 |
158.07 |
0.4 |
74.19 |
|
0.25 |
44.24 |
0.5 |
27.04 |
0.00829744 |
33.190 |
145.16 |
0.5 |
88.70 |
|
0.25 |
40.93 |
0.6 |
31.13 |
0.00709929 |
28.397 |
134.27 |
0.6 |
102.13 |
|
0.25 |
38.09 |
0.7 |
34.94 |
0.00614827 |
24.593 |
124.95 |
0.7 |
114.63 |
|
0.25 |
35.63 |
0.8 |
38.50 |
0.00537989 |
21.520 |
116.88 |
0.8 |
126.31 |
|
0.25 |
33.47 |
0.9 |
41.85 |
0.00474960 |
18.998 |
109.82 |
0.9 |
137.30 |
|
0.25 |
31.58 |
1.0 |
45.01 |
0.00422578 |
16.903 |
103.59 |
1.0 |
147.66 |
|
0.25 |
29.88 |
1.1 |
47.99 |
0.00378545 |
15.142 |
98.05 |
1.1 |
157.46 |
|
0.25 |
28.37 |
1.2 |
50.83 |
0.00341157 |
13.646 |
93.08 |
1.2 |
166.77 |
|
0.25 |
27.01 |
1.3 |
53.53 |
0.00309127 |
12.365 |
88.60 |
1.3 |
175.63 |
|
0.25 |
25.77 |
1.4 |
56.11 |
0.00281467 |
11.259 |
84.54 |
1.4 |
184.08 |
|
0.25 |
24.64 |
1.5 |
58.57 |
0.00257410 |
10.296 |
80.85 |
1.5 |
192.17 |
|
0.25 |
23.61 |
1.6 |
60.93 |
0.00236350 |
9.454 |
77.47 |
1.6 |
199.92 |
|
0.25 |
22.67 |
1.7 |
63.20 |
0.00217804 |
8.712 |
74.37 |
1.7 |
207.35 |
|
0.25 |
21.80 |
1.8 |
65.38 |
0.00201384 |
8.055 |
71.51 |
1.8 |
214.50 |
|
0.25 |
20.99 |
1.9 |
67.48 |
0.00186774 |
7.471 |
68.87 |
1.9 |
221.39 |
|
0.25 |
20.24 |
2.0 |
69.51 |
0.00173716 |
6.949 |
66.42 |
2.0 |
228.03 |
|
0.25 |
19.55 |
2.1 |
71.46 |
0.00161996 |
6.480 |
64.14 |
2.1 |
234.45 |
|
0.25 |
18.90 |
2.2 |
73.35 |
0.00151435 |
6.057 |
62.01 |
2.2 |
240.65 |
|
0.25 |
18.30 |
2.3 |
75.18 |
0.00141885 |
5.675 |
60.03 |
2.3 |
246.65 |
|
0.25 |
17.73 |
2.4 |
76.95 |
0.00133219 |
5.329 |
58.16 |
2.4 |
252.47 |
|
0.25 |
17.20 |
2.5 |
78.67 |
0.00125331 |
5.013 |
56.42 |
2.5 |
258.11 |
|
0.25 |
16.69 |
2.6 |
80.34 |
0.00118129 |
4.725 |
54.77 |
2.6 |
263.59 |
|
0.25 |
16.22 |
2.7 |
81.96 |
0.00111537 |
4.461 |
53.22 |
2.7 |
268.91 |
|
0.25 |
15.78 |
2.8 |
83.54 |
0.00105486 |
4.219 |
51.76 |
2.8 |
274.08 |
|
0.25 |
15.35 |
2.9 |
85.08 |
0.00099919 |
3.997 |
50.37 |
2.9 |
279.12 |
|
0.25 |
14.95 |
3.0 |
86.57 |
0.00094784 |
3.791 |
49.06 |
3.0 |
284.03 | *The
chart assumes 3 constants: Drag=0.47, BB Area= 0.00001395 and
Air Density=1.293
Again, we are interested in the last thee columns of data.
Since all of this data is hard to understand, this data is
formed into three separate charts that relate these three
variables to each other graphically.
As you can see in the first graph we have constructed,
lines for the .20 and .25 gram bbs are visible. This graph
shows the relation of the data calculated in the two previous
spreadsheets. Specifically, it shows the relation of velocity
versus distance. The conclusion drawn from this graph shows
that .20 gram bbs have a much higher initial velocity and they
retain that velocity until they reach around 50 feet. This is
the point at which the .25 gram bbs retain their energy longer
and better, which results in a lengthier sustainable fps.
Since the .20 gram bbs have a higher initial velocity, the
drag force applied to the bb is much higher. Since they are
lighter than the .25 gram bbs, they cannot retain their
momentum as long; therefore, they lose velocity at a more
rapid pace than their heavier counterparts. Also, the loss of
momentum relates to the stability of the bb during flight
through the air, which in result is the reason why .25 gram
bbs are more accurate at longer distances.
The next graph shows the relation of velocity versus time
applied to the .20 and .25 gram bbs:
This graph is illustrates the velocity of each bb over
specific time intervals. Here, it is again obvious that the
.20 gram bbs, since they are lighter, have a higher initial
velocity. Again, due to the drag forces involved with higher
velocities and the lower weight of the .20 versus .25 gram
bbs, they will lose their velocity and drop below that of the
.25 gram bbs after only 0.25 of a second. This is very
important to us in the area of specific shooting conditions.
If you are playing close quarter battles or assaulting, it
might seem more feasible to use .20 gram bbs rather than .25
gram. This is because they travel faster to your target as
long as the flight path from muzzle to target will take less
than 0.25 of a second. If you are support or sniper based,
this would recommend using .25 gram bbs because they retain
their velocity longer at lengthier flight time intervals over
0.25 of a second.
The final graph shows the relation of distance versus
time:
This graph is important to us because it shows the
distances attainable with .20 gram versus .25 gram bbs based
on a time-oriented scale. It is somewhat hard to see but for
the first 0.5 of a second, the .20 gram bbs will reach their
target quicker. This will be the case from 0-90 feet as shown
on the graph as an intersection of the two lines. At this
point, the two bbs will both reach their target at the same
time. After this time, the .25 gram bbs will travel further
quicker because they do not lose their momentum as well as
velocity as quick as the .20 gram bbs. This shows that for
shots less than 90 feet use .20 gram bbs, for anything over,
this study would recommend .25 gram bbs.
The results found in this study do not include airsoft
shots that are made far from horizontal. This means that shots
made up or down a large incline would skew the results due to
the earth’s acceleration due to gravity affecting the
acceleration due to drag. This could be incorporated into the
study but is very negligible for most airsoft shots that are
not shot at a steep initial angle. Also, hop-up is not used
here to determine range or drag because there is simply not a
formula in physics that simply states “for hop-up
calculations.” Hop-up will not effect the drag because drag is
only related to cross sectional area, which is unchanging
during flight since we have a solid, round bb. The effects of
hop-up on range are very noticeable, but here, we do not have
an ultimate range, solely intermediary values. Since both bb
weight cases are treated the same way, the results with hop-up
would also yield similar results.
Overall, the important results to us are as follows:
- Shots made within 50 feet will have a greater ending
velocity with .20 gram bbs.
- Shots made over 50 feet should use .25 gram bbs for
stability and velocity retention.
- BB flight times under 0.25 of a second can use .20 gram
bbs for a higher velocity.
- BB flight times over 0.25 of a second should use .25
gram bbs because velocity and momentum is conserved better.
- Shots of less than 90 feet can use .20 gram bbs for a
faster shot time.
- Shots made over 90 feet should use .25 gram bbs for a
quicker, more stable ammo flight path.
The main reason for this study was to find out if .25 gram
bbs are actually better than .20 gram bbs and at what
velocities, times, and distances this is true. All of this
information might sound like another language to some people,
but this study was important in understanding the question at
hand and has supplied very useful information that is easily
comprehendible through simple graphical interpretation.
The previous spreadsheets and graphical depictions are very
useful when determining the correct weight bbs to use with
specific initial velocities. If you would like a copy for
personal use, please direct your email request to the email
listed below.
This information is fully protected under the copyright of
Covert of Canton © Copyright 2005 www.covertofcanton.tk. Any
partial or full reproduction of this article is strictly
prohibited without full consent of the author. Any
reproduction requests, personal spreadsheet requests,
questions, comments, or concerns can be directed to Zinger084
AT hotmail.com |