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

0.000 m/s
Recoil Velocity
(0.00 fps)
0.00 J
Recoil Energy
(0.00 ft⋅lbf)
0.000 N⋅s
Recoil Impulse
(kg⋅m/s)

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

Very Light< 5 J
Light5-10 J
Moderate10-20 J
Heavy20-35 J
Very Heavy> 35 J

Typical Powder Velocities

Handguns/Shotguns1707 m/s
Rifles1585 m/s
BMG Cartridges1433 m/s
Black Powder686 m/s

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