.:: Projectile Simulation ::.
Projectile Simulation
This program simulates projectiles and includes wind resistance.
SOFTWARE WRITTEN IN PHP
1: <?PHP
2:
3: $dt = 0.0001;
4:
5: $angle = (double)$_GET['angle'];
6: $y = (double)$_GET['height'];
7: $inity = $y;
8: $v = (double)$_GET['velocity'];
9: $d = (double)$_GET['diameter'];
10: $m = (double)$_GET['mass'];
11: $dist = (double)$_GET['distance'];
12: $t = 0.0;
13:
14: $vx = cos((3.14159/180)*$angle) * $v;
15: $vy = sin((3.14159/180)*$angle) * $v;
16:
17: $xdrag = 0.0;
18: $ydrag = 0.0;
19: $drag = 0.0;
20: $speed = 0.0;
21:
22:
23: $max_height = 0;
24:
25: while(($x < $dist) && ($y > 0))
26: {
27: $t += $dt;
28:
29:
30: $speed = sqrt(pow($vx,2) + pow($vy,2));
31: $drag = (0.5 * 1.29 * pow($speed,2) * 0.295 * (3.14159 * pow($d / 2,2))) / $m;
32:
33: $xdrag = -($vx / $speed) * $drag;
34: $ydrag = -($vy / $speed) * $drag;
35:
36: $ax = $xdrag;
37: $ay = -9.8 + $ydrag;
38:
39: $vx += ($ax * $dt);
40: $vy += ($ay * $dt);
41:
42: $x += ($vx * $dt);
43: $y += ($vy * $dt);
44:
45: if($y > $max_height)
46: {
47: $max_height = $y;
48: }
49:
50: }
51:
52:
53: echo '<html><head><title>PROJECTILE SIMULATION</title></head><body bgcolor="#000000">';
54: echo '<font face="courier new" size="6" color="#FF0000">';
55:
56: echo '<b>PROJECTILE SIMULATION</b><br></font>';
57: echo '<font face="courier new" size="4" color="#FF0000"><b>BY ROSTISLAV PERSION</b></font>';
58: echo '<br><br>';
59: echo '</font>';
60:
61:
62: echo '<font face="courier new" size="4" color="#0000FF">';
63: echo '<b>INITIAL HEIGHT -----------></b> ' . number_format($inity,5 , '.', ',') . ' m<br>';
64: echo '<b>ANGLE --------------------></b> ' . number_format($angle,5 , '.', ',') . ' degrees<br>';
65: echo '<b>MUZZLE VELOCITY ----------></b> ' . number_format($v,5 , '.', ',') . ' m/sec<br>';
66: echo '<b>PROJECTILE DIAMETER ------></b> ' . number_format($d,5 , '.', ',') . ' m<br>';
67: echo '<b>PROJECTILE MASS ----------></b> ' . number_format($m,5 , '.', ',') . ' kg<br>';
68: echo '<b>TARGET DISTANCE ----------></b> ' . number_format($dist,5 , '.', ',') . ' m<br>';
69: echo '</font><br>';
70:
71:
72:
73: echo '<font face="courier new" size="4" color="#00FF00">';
74:
75: echo '<b>TIME ---------------------> </b> ' . number_format($t,5 , '.', ',') . ' sec<br>';
76: echo '<b>MAX HEIGHT ---------------> </b> ' . number_format($max_height,5 , '.', ',') . ' m<br>';
77:
78:
79: if ($y <= 0)
80: {
81: echo '<b>WARNING ------------------></b> BULLET HIT THE GROUND AT ' . number_format($x,5, '.', ',') . ' m <br>';
82: }
83:
84: echo '<b>FINAL HEIGHT -------------></b> ' . number_format($y,5 , '.', ',') . ' m<br>';
85: echo '<b>FINAL X VELOCITY ---------></b> ' . number_format($vx,5 , '.', ',') . ' m/sec<br>';
86: echo '<b>FINAL Y VELOCITY ---------></b> ' . number_format($vy,5 , '.', ',') . ' m/sec<br>';
87: echo '<b>FINAL VELOCITY -----------></b> ' . number_format(sqrt(pow($vx,2) + pow($vy,2)),5 , '.', ',') . ' m/sec<br>';
88: echo '<b>FINAL X DRAG -------------></b> ' . number_format($xdrag * $m,5 , '.', ',') . ' N<br>';
89: echo '<b>FINAL Y DRAG -------------></b> ' . number_format($ydrag * $m,5 , '.', ',') . ' N<br>';
90: echo '<b>FINAL DRAG ---------------></b> ' . number_format($drag * $m,5 , '.', ',') . ' N<br>';
91:
92: echo '</font>';
93: echo '</body></html>';
94:
95:
96:
97: ?>