How High Should I Drop My Weapon Sights for a 2.2 M/S Recoil Simulation?

[amdcursed]

I need to do a rifle recoil simulation to some weapon sights. I have two of them. One weighs 2.2 lbs and the other 2.6 lbs. I need them to be going 2.2 meters a second when the hit the ground.

How high do I have to drop each one?

 

[Astronuc]

Seems like a strange thing to do to a rifle.

Objects accelerate downward at g (9.81 m/s²), which is the acceleration of gravity at sea level. If an object starts are rest and falls, then one can use conservation of energy - gravitational energy (mgh) becomes kinetic energy (1/2 mv²), or

mgh = 1/2 mv², which can be simplified to find h as a function of v.

 

[charng]

To calculate the necessary drop height for each sight, we need to take into account the mass of the sight, as well as the velocity at which it needs to hit the ground. This can be calculated using the equation for kinetic energy, which is KE = 1/2mv^2, where m is the mass and v is the velocity.

For the first sight weighing 2.2 lbs (0.998 kg), we can rearrange the equation to solve for the drop height:

KE = 1/2 * 0.998 kg * (2.2 m/s)^2

KE = 1.219 J

To calculate the drop height, we can use the equation PE = mgh, where PE is potential energy, m is the mass, g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

1.219 J = 0.998 kg * 9.8 m/s^2 * h

h = 0.125 m or approximately 12.5 cm

Therefore, the first sight needs to be dropped from a height of 12.5 cm to achieve a velocity of 2.2 m/s upon hitting the ground.

Using the same method, we can calculate the necessary drop height for the second sight weighing 2.6 lbs (1.179 kg):

KE = 1/2 * 1.179 kg * (2.2 m/s)^2

KE = 1.621 J

1.621 J = 1.179 kg * 9.8 m/s^2 * h

h = 0.144 m or approximately 14.4 cm

Therefore, the second sight needs to be dropped from a height of 14.4 cm to achieve a velocity of 2.2 m/s upon hitting the ground.

It is important to note that these calculations assume an ideal scenario with no external factors affecting the velocity and no energy loss upon impact. In reality, there may be slight variations depending on the specific conditions and materials of the sights. It is always recommended to perform multiple tests and make adjustments as needed to achieve the desired results.