Muzzle Velocity Calculator

Calculate the muzzle velocity of a projectile from barrel length and acceleration, or from kinetic energy and projectile mass using basic kinematics.

MUZZLE VELOCITY
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Kinetic Energy
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Momentum
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Speed (ft/s)
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Mach Number
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What Is Muzzle Velocity?

Muzzle velocity is the speed of a projectile at the moment it exits the barrel. It is one of the most important ballistic parameters, directly affecting trajectory, range, energy on impact, and accuracy. Muzzle velocity depends on the propellant charge, barrel length, projectile mass, and bore friction.

In physics, muzzle velocity can be derived from kinematics using the work-energy theorem. The work done by expanding gases on the projectile equals its kinetic energy at the muzzle. This principle applies to firearms, air guns, cannons, and any barrel-launched projectile.

Formulas

v = √(2 × F × d / m)
v = √(2 × KE / m)

Where F is average force, d is barrel length, m is projectile mass, and KE is kinetic energy.

Typical Muzzle Velocities

TypeVelocity (m/s)Velocity (ft/s)
Air rifle150-300500-1000
Handgun (9mm)360-4001180-1310
Rifle (5.56mm)940-9603080-3150
Tank gun1500-18004920-5900

Influencing Factors

  • Barrel length: Longer barrels give the gas more time to accelerate the projectile, increasing velocity.
  • Propellant charge: More propellant generates higher gas pressure and greater acceleration.
  • Projectile mass: Lighter projectiles achieve higher velocities for the same energy.
  • Bore friction: Surface finish and bore condition affect velocity through energy losses.

Frequently Asked Questions

How is muzzle velocity measured?

Muzzle velocity is typically measured using a chronograph, which uses two sensors placed a known distance apart near the muzzle. The time for the projectile to travel between sensors gives the velocity. Modern chronographs can measure to within 1 ft/s accuracy.

Does temperature affect muzzle velocity?

Yes. Higher temperatures increase propellant burn rate and gas pressure, resulting in higher muzzle velocities. A typical change is about 1-2 ft/s per degree Fahrenheit for rifle cartridges. This is an important consideration for precision shooting.