How Is Gun Recoil Force Calculated?

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In summary, gun recoil force for a time t can be calculated by knowing the change in momentum that occurs before and after a shot is fired. This can be determined by using the velocity of the bullet and the mass of the gun and bullet. The change in momentum for the gun itself must be taken into account, rather than the change in momentum for the entire gun-bullet system. Additionally, the reaction torque from rifling must be considered for more accurate calculations.
  • #1
ajoshi
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How the gun recoil force is calculated.
 
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  • #2
Gun recoil force for a time t can be calculated by knowing the change in momentum that takes place before and after the shot takes place.Generally in problems you will be given the velocity with which the bullet leaves the gun ...So you can calculate the "backwards reaction momentum" by simple application of "conservation of momentum.

Suppose:

A gun of mass M shoots a bullet of mass m and this bullety leaves the gun with velocity [itex]V_o[/itex] and as a result the gun goes backwards with velocity [itex]V[/itex]

Therefore ina short time t :

[itex]Ft=MV-mV_o[/itex]
 
  • #3
Dr.Brain said:
Gun recoil force for a time t can be calculated by knowing the change in momentum that takes place before and after the shot takes place.Generally in problems you will be given the velocity with which the bullet leaves the gun ...So you can calculate the "backwards reaction momentum" by simple application of "conservation of momentum.

Suppose:

A gun of mass M shoots a bullet of mass m and this bullety leaves the gun with velocity [itex]V_o[/itex] and as a result the gun goes backwards with velocity [itex]V[/itex]

Therefore ina short time t :

[itex]Ft=MV- mV_o[/itex]
I think you meant:
[itex]Ft = -MV = mV_o[/itex]

AM
 
  • #4
Dr.Brain said:
So you can calculate the "backwards reaction momentum" by simple application of "conservation of momentum.
Note also that if you're looking for an 'actual' as opposed to 'theoretical' solution, reaction torque from the rifling must be accounted for. It's insignificant in a rifle, and non-existent in a shotgun, but is very noticeable when you get into magnum-calibre handguns.
 
  • #5
Andrew Mason said:
I think you meant:
[itex]Ft = -MV = mV_o[/itex]

AM


thanx.. actually the change in momentum for the gun is to be taken and not the change in momentum for the gun-bullet system
 

FAQ: How Is Gun Recoil Force Calculated?

How is gun recoil force calculated?

Gun recoil force is calculated by using the formula F = m x v, where F is the recoil force, m is the mass of the bullet, and v is the velocity of the bullet. This formula assumes a perfectly elastic collision between the bullet and the gun.

What factors affect the recoil force of a gun?

The recoil force of a gun is affected by several factors, including the mass and velocity of the bullet, the mass of the gun, and the type of ammunition used. Other factors such as barrel length, recoil spring strength, and grip strength can also play a role.

How does the recoil force of a gun impact accuracy?

The recoil force of a gun can impact accuracy by causing the gun to move or jerk during firing, which can affect the trajectory of the bullet. This is why proper grip and stance are important in minimizing the impact of recoil force on accuracy.

Can the recoil force of a gun be reduced?

Yes, the recoil force of a gun can be reduced through various methods such as using a lighter weight bullet, adjusting the ammunition load, or using a recoil-reducing device on the gun.

Is there a way to measure the recoil force of a gun?

Yes, there are devices called recoil force gauges that can measure the recoil force of a gun. These gauges are typically attached to the gun and measure the force exerted during firing. However, the exact measurement may vary depending on factors such as grip strength and stance.

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