Recoil Energy Calculator
Calculate firearm recoil energy, velocity, and impulse using momentum conservation principles
Calculate Recoil Energy
Choose a preset to automatically fill in common firearm specifications
Projectile Properties
Powder Charge
Typical values: Rifles ~1585 m/s, Handguns ~1707 m/s, BMG ~1433 m/s
Firearm Properties
Total mass of the firearm including all components
Recoil Analysis Results
Formula: Vf = (Mb × Vb + Mc × Vc) / (Mf × 1000), Er = 0.5 × Mf × Vf²
Conservation of momentum: Total momentum before = Total momentum after firing
Example Calculation
M14 Rifle with 7.62x51 mm NATO
Bullet mass (Mb): 10.1 g
Bullet velocity (Vb): 845 m/s
Powder mass (Mc): 3.1 g
Powder velocity (Vc): 1574.8 m/s
Firearm mass (Mf): 4.5 kg
Step-by-step Calculation
1. Vf = (10.1 × 845 + 3.1 × 1574.8) / (4.5 × 1000)
2. Vf = (8,534.5 + 4,881.88) / 4,500
3. Vf = 13,416.38 / 4,500 = 2.98 m/s
4. Er = 0.5 × 4.5 × 2.98² = 20.0 J
5. Ir = 4.5 × 2.98 = 13.41 N⋅s
Recoil Energy Classification
Typical Powder Velocities
Recoil Tips
Heavier firearms reduce felt recoil
Muzzle brakes can reduce recoil by 20-50%
Proper stance and grip help manage recoil
Recoil affects follow-up shot accuracy
Understanding Recoil Energy
What is Recoil Energy?
Recoil energy is the kinetic energy imparted to a firearm when it is discharged. According to Newton's third law of motion, the forward momentum given to the projectile and powder gases creates an equal and opposite momentum in the firearm, resulting in recoil.
Physics Principles
- •Conservation of momentum applies to the system
- •Newton's third law: action = reaction
- •Kinetic energy calculation: KE = ½mv²
- •Both projectile and powder contribute to recoil
Calculation Formula
Vf = (Mb × Vb + Mc × Vc) / (Mf × 1000)
Er = 0.5 × Mf × Vf²
- Vf: Recoil velocity of firearm (m/s)
- Mb: Mass of bullet (grams)
- Vb: Velocity of bullet (m/s)
- Mc: Mass of powder charge (grams)
- Vc: Velocity of powder gases (m/s)
- Mf: Mass of firearm (kg)
- Er: Recoil energy (Joules)
Factors Affecting Recoil
- •Bullet weight: Heavier bullets increase recoil
- •Muzzle velocity: Higher velocity increases recoil
- •Powder charge: More powder increases recoil
- •Firearm weight: Heavier guns reduce felt recoil
- •Action type: Semi-auto vs bolt action affects felt recoil
Practical Applications
- •Firearm design: Optimizing weight and balance
- •Shooter comfort: Selecting appropriate calibers
- •Accuracy: Managing recoil for follow-up shots
- •Muzzle device design: Brakes and compensators
- •Ammunition development: Balancing power and recoil