Muzzle Velocity Formula

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Muzzle Velocity is the speed of a projectile (bullet, pellet) with respect to the muzzle at the moment it leaves the end of a gun's barrel (i.e. the muzzle). Check FAQs
Vm=u2+2ax
Vm - Muzzle Velocity?u - Initial Velocity?a - Acceleration?x - Travel Distance Barrel?

Muzzle Velocity Example

With values
With units
Only example

Here is how the Muzzle Velocity equation looks like with Values.

Here is how the Muzzle Velocity equation looks like with Units.

Here is how the Muzzle Velocity equation looks like.

30.024Edit=5Edit2+212.56Edit200Edit
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Muzzle Velocity Solution

Follow our step by step solution on how to calculate Muzzle Velocity?

FIRST Step Consider the formula
Vm=u2+2ax
Next Step Substitute values of Variables
Vm=5m/s2+212.56m/s²200mm
Next Step Convert Units
Vm=5m/s2+212.56m/s²0.2m
Next Step Prepare to Evaluate
Vm=52+212.560.2
LAST Step Evaluate
Vm=30.024m/s

Muzzle Velocity Formula Elements

Variables
Muzzle Velocity
Muzzle Velocity is the speed of a projectile (bullet, pellet) with respect to the muzzle at the moment it leaves the end of a gun's barrel (i.e. the muzzle).
Symbol: Vm
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Initial Velocity
Initial Velocity is the velocity at which motion starts.
Symbol: u
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Acceleration
Acceleration is the rate of change in velocity to the change in time.
Symbol: a
Measurement: AccelerationUnit: m/s²
Note: Value can be positive or negative.
Travel Distance Barrel
Travel Distance Barrel is the distance traveled inside the gun barrel.
Symbol: x
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Others and Extra category

​Go Work Done by Roots Blower
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​Go Friction Coefficient
Cfx=τw0.5ρ(uf2)
​Go Coefficient of Friction
μ=FlimRn

How to Evaluate Muzzle Velocity?

Muzzle Velocity evaluator uses Muzzle Velocity = Initial Velocity^2+2*Acceleration*Travel Distance Barrel to evaluate the Muzzle Velocity, Muzzle Velocity is the speed of a projectile with respect to the muzzle at the moment it leaves the end of a gun's barrel. Muzzle Velocity is denoted by Vm symbol.

How to evaluate Muzzle Velocity using this online evaluator? To use this online evaluator for Muzzle Velocity, enter Initial Velocity (u), Acceleration (a) & Travel Distance Barrel (x) and hit the calculate button.

FAQs on Muzzle Velocity

What is the formula to find Muzzle Velocity?
The formula of Muzzle Velocity is expressed as Muzzle Velocity = Initial Velocity^2+2*Acceleration*Travel Distance Barrel. Here is an example- 30.024 = 5^2+2*12.56*0.2.
How to calculate Muzzle Velocity?
With Initial Velocity (u), Acceleration (a) & Travel Distance Barrel (x) we can find Muzzle Velocity using the formula - Muzzle Velocity = Initial Velocity^2+2*Acceleration*Travel Distance Barrel.
Can the Muzzle Velocity be negative?
No, the Muzzle Velocity, measured in Speed cannot be negative.
Which unit is used to measure Muzzle Velocity?
Muzzle Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Muzzle Velocity can be measured.
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