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Free recoil / Frecoil is a vernacular term or jargon for recoil energy of a firearm not supported from behind. Free recoil denotes the translational kinetic energy ( E t ) imparted to the shooter of a small arm when discharged and is expressed in joules (J), or foot-pound force (ft·lb f ) for non-SI units of measure.
Let m b and v b stand for the mass and velocity of the bullet, the latter just before hitting the target, and let m t and v t stand for the mass and velocity of the target after being hit. Conservation of momentum requires m b v b = m t v t. Solving for the target's velocity gives v t = m b v b / m t = 0.016 kg × 360 m/s / 77 kg = 0.07 m/s = 0 ...
Momentum is simply mass multiplied by velocity. Velocity is speed in a particular direction (not just speed). In a very technical sense, speed is a scalar (mathematics): a magnitude; while velocity is a vector (physics): magnitude and direction. Momentum is conservative: any change in momentum of an object requires an equal and opposite change ...
The general formula for the kinetic energy is =, where v is the velocity of the bullet and m is the mass of the bullet. Although both mass and velocity contribute to the muzzle energy, the muzzle energy is proportional to the mass while proportional to the square of the velocity. The velocity of the bullet is a more important determinant of ...
Unprimed quantities refer to position, velocity and acceleration in one frame F; primed quantities refer to position, velocity and acceleration in another frame F' moving at translational velocity V or angular velocity Ω relative to F. Conversely F moves at velocity (—V or —Ω) relative to F'. The situation is similar for relative ...
In physics, there are equations in every field to relate physical quantities to each other and perform calculations. Entire handbooks of equations can only summarize most of the full subject, else are highly specialized within a certain field. Physics is derived of formulae only.
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From the foregoing, you can see that the time domain equations are simply scaled forms of the angle domain equations: is unscaled, ′ is scaled by ω, and ″ is scaled by ω². To convert the angle domain equations to time domain, first replace A with ωt , and then scale for angular velocity as follows: multiply x ′ {\displaystyle x'} by ...