Muzzle Velocity Calculator

Calculate bullet velocity using kinetic energy, barrel pressure, or distance measurements

Calculate Muzzle Velocity

J

Kinetic energy of the bullet

g

Mass of the bullet

Muzzle Velocity Results

994.37
Muzzle Velocity (m/s)
994.37
Velocity (m/s)
3262
Velocity (ft/s)
2224
Velocity (mph)
1760
Kinetic Energy (J)

Physics Formula

Kinetic Energy Method: v = √(2×KE/m)

Calculation: √(2 × 1760 J / 0.003560 kg) = 994.37 m/s

Ballistics Analysis

⚡ High velocity - suitable for long-range applications

Example: 5.56 NATO Calculation

Problem Setup

Scenario: Calculate muzzle velocity of 5.56 NATO round

Given: KE = 1300 ft⋅lb (≈1760 J), m = 55 gr (≈3.56 g)

Question: What is the muzzle velocity?

Solution Steps

1. Convert to SI units: KE = 1760 J, m = 0.00356 kg

2. Apply kinetic energy formula: v = √(2×KE/m)

3. Calculate: v = √(2 × 1760 / 0.00356) = √(988,764) ≈ 994 m/s

4. Convert to ft/s: 994 m/s ≈ 3,260 ft/s

Result: Typical 5.56 NATO muzzle velocity!

Common Ammunition Examples

5.56 NATO (55gr)

Standard 5.56x45mm NATO round

Energy: 1760 joules
Mass: 3.56 grams

.223 Remington (55gr)

Common .223 Remington load

Pressure: 52000 psi
Mass: 55 grains

.45 ACP (230gr)

.45 ACP at 500 feet

Distance: 500 feet
Mass: grains

9mm Parabellum (124gr)

Standard 9mm load

Energy: 500 joules
Mass: 8 grams

Key Ballistics Concepts

v

Muzzle Velocity

Speed at which projectile exits barrel

KE

Kinetic Energy

Energy of motion (½mv²)

P

Chamber Pressure

Gas pressure accelerating projectile

A

Bore Area

Cross-sectional area of barrel

Typical Velocity Ranges

Handguns

800-1,500 ft/s (240-460 m/s)

Pistols and revolvers

Rifles

2,000-4,000 ft/s (610-1,220 m/s)

High-velocity rifle rounds

Artillery

5,000+ ft/s (1,500+ m/s)

Tank guns and cannons

Sound Barrier

1,125 ft/s (343 m/s)

Speed of sound at sea level

Understanding Muzzle Velocity in Ballistics

What is Muzzle Velocity?

Muzzle velocity is the speed at which a projectile exits the barrel of a firearm. It's a critical parameter that affects trajectory, energy transfer, and terminal ballistics.

Factors Affecting Velocity

Muzzle velocity depends on powder charge, bullet weight, barrel length, chamber pressure, and environmental conditions like temperature and altitude.

Calculation Methods

Kinetic Energy Method

Most accurate when energy data is available

Pressure Method

Uses barrel specifications and chamber pressure

Distance-Time Method

Field measurement technique

Applications

Ballistics Research

Ammunition development and testing

Hunting & Sport

Trajectory calculation and energy estimation

Military & Defense

Weapon system evaluation

Forensics

Ballistic evidence analysis

Important Considerations

Air Resistance

Velocity decreases with distance

Barrel Length

Longer barrels generally increase velocity

Temperature Effects

Higher temperatures increase velocity

Altitude Effects

Lower air density at altitude affects trajectory