Calculating Free Recoil
There are several different ways to calculate free recoil. However, the two most common are the momentum short and long forms.
Both forms will yield the same value. The short form uses one equation as where the long form requires two equations. With the long form you will first find for the fire arm velocity. With the velocity known for the small arm, the free recoil of the small arm can be calculated using the translational kinetic energy equation.
- Momentum short form:
- Momentum long form: →
Where as:
Etgu is the translational kinetic energy of the small arm as expressed by the joule (J).
mgu is the weight of the small arm expressed in kilograms (kg).
mp is the weight of the projectile expressed in grams (g).
mc is the weight of the powder charge expressed in grams (g).
vgu is the velocity of the small arm expressed in meters per second (m/s).
vp is the velocity of the projectile expressed in meters per second (m/s).
vc is the velocity of the powder charge expressed in meters per second (m/s).
1000 is the conversion factor to set the equation equal to kilograms.
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