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Math

Published on Dec 01, 2015

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PRESENTATION OUTLINE

EXTERNAL BALLISTICS

BY: PHILLIP SWANSON
Photo by RW PhotoBug

FIRST OFF

  • 3 main ballistics
  • Internal ballistics
  • External ballistics
  • Terminal ballistics
  • Focusing on external ballistics
Photo by eschipul

GEOMETRY RELATION

  • A bullet is a type of arc
  • If left long enough, becomes a parabola
  • Shapes used in projectiles
  • Spin angles
Photo by Johan G

Using a standard G7 NATO projectile

Not based on angle, but twist rate
Common angle between 30-50 degrees

Slight angles, but to compensate for drag

ARCS AND PARABOLAS

  • A bullet creates an arc to the target
  • In a perfect world, it would make a parabola
  • Also scope makes a secant

FACTORS

  • Drag
  • Wind speed and resistance
  • Projectile shape
  • Muzzle velocity
  • Bullet grain (weight)
  • Caliber and powder

BASE STANDARDS

  • Standard G7 projectile
  • .308 caliber
  • No wind
  • 150 grains
  • 3000 FPS muzzle velocity
  • Gravity is standard (30 pounds)
Photo by Nick Botner

CALCULATIONS

  • Equation for simple ballistics
  • X=(Vsquared/G)*sin(2 theta)
  • X=max distance
  • V=muzzle velocity
  • G=gravity
  • Sin(2 theta)= angle of traj. *2
Photo by Jody Roberts

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ADVANCED BALLISTICS

  • Drag coefficient
  • Cd=Fd/(0.5PVsquaredA)
  • Fd=force drag
  • P=density of fluid
  • V=velocity of object
  • A=reference area
  • Cd=drag coefficient
  • Not reliable under speed of sound (~1278 FPS)
Photo by England

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ADVANCED BALLISTICS

  • You need:
  • Temperature
  • Air pressure
  • Humidity
  • Altitude
  • Wind angle/wind speed
  • Zero range
  • Shooting angle/slant height
  • Drag function

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