## Ballistics Calculators

 Range Table
 Projectile: Diameter (in) Weight (gr) Ballistic Coefficient (G1) Sectional density = 0.226Form factor = 0.719 Muzzle Velocity (ft/s)
 Trajectory: Line of sight over bore (in) Impact over line of sight (in) Distance to impact point (yards) Table: Increment (yards) Maximum range (yards)
Range
(yrd)
Velocity
(ft/s)
Energy
(ft-lb)
Path
(in)
Momntm
(lb-s)
Time
(sec)
Drop
(in)
Adjust
(MOA)
MaxHght
(in)
10mph
CW(in)
02,9102,820-1.501.940.0000.00 -0.600.00
252,8352,676-0.201.890.0260.130.81-0.570.06
502,7612,5380.821.840.0530.53-1.65-0.460.26
752,6882,4061.561.790.0811.22-2.08-0.280.58
1002,6172,2802.001.740.1092.21-2.00-0.021.03
1252,5462,1592.131.700.1383.51-1.700.321.60
1502,4772,0431.921.650.1685.15-1.280.772.31
1752,4091,9321.371.600.1987.13-0.781.313.14
2002,3411,8260.431.560.2309.50-0.211.974.16
2252,2751,724-0.921.520.26212.270.412.755.37
2502,2101,627-2.691.470.29615.471.083.666.75
2752,1461,534-4.901.430.33119.111.784.718.29
3002,0831,446-7.571.390.36623.212.525.9110.00
• The sectional density is the weight of the projectile in pounds divided by the square of the diameter (SD=W/d2) and is an important number when considering penetration.
• The form factor is the ballistic coefficient divided by the sectional density (i=SD/BC), and is a measure of how closely the profile of the projectile matches the G1 standard projectile.

 Calculate Ballistic Coefficient (G1) Back to top

To calculate the ballistic coefficient from range data, two velocity measurements and the distance between them are required.

 Uprange (larger) velocity (fps) Downrange (smaller) velocity (fps) Distance between measurements (yards) 0.255 Ballistic Coefficient (G1)

 Calculate Muzzle Velocity from Instrumental Velocity Back to top

To calculate the muzzle velocity, a velocity measurement, the ballistic coefficient and the distance from the muzzle to the measurement point are required.

 Measured velocity (fps) Ballistic coefficient (G1) Distance from measurement point to muzzle (yards) 2,888 Muzzle velocity (fps)

 Effects of Barometeric Pressure, Temperature and Altitude Back to top

Firing under anything other than Standard Metro conditions changes the effective ballistic coefficient of the projectile (from Sierra´s 6th Ed). Standard Metro conditions are:

• Altitude: Sea level
• Barometric Pressure: 750 mm Hg = 29.53 inches Hg
• Temperature: 59°F = 15°C
• Relative Humidity: 78%
• Air Density: 0.0751265 lb/ft3 = 1.2030 kg/m3
• Speed of Sound: 1120.27 fps = 341.46 m/s
• Acceleration due to gravity: 32.174 f/s2 = 9.80665 m/s2
 Ballistic coefficient (G1) under standard conditions Altitude above sea level (ft) Temperature (°F) Barometric pressure (inches of Hg) 0.458 Effective ballistic coefficient (G1)

 Calculate Free Recoil Energy Back to top

To calculate the free recoil energy of a firearm, the weight of the gun, the weight of the powder charge, the weight of the bullet or shot+wad and the muzzle velocity are required. The free recoil energy is the work that must be done to control the firearm upon firing.

 Bullet or shot weight (gr) 1 oz = 437.5 gr Wad weight (gr) Powder charge (gr) Muzzle velocity (fps) Gun weight (lb) 20.5 Free recoil energy of the firearm (ft-lb)

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