# Ammunition Management

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This calculator is dedicated to aid in the management of explosives and ammunition in activities such as detonation or in range estimations.

### Cube-Root Scaling Law

Hopkinson-Cranz Scaling Law - This equation computes for the Range estimation needed when dealing with ammunition management.

Blast Scaling Constant of Proportionality - computes the dimensional parameter that is used as a scaled distance.

### Air Blast

##### Rankine-Hugoniot (shock front parameters)

Shock Front Velocity - Calculates the velocity using the speed of sound, peak on-side pressure and ambient pressure.

Air Density Behind the Shock Front - re-calculates air density by taking into account the ambient pressure and peak.

Particle Velocity - calculates the velocity using the speed of sound, peak on-side pressure and ambient pressure.

Peak Dynamic Pressure - during blast loading of a structure is a function of the pressure over time, as opposed to quasi-static blast loading at a given moment of time.

Peak Reflected Pressure - calculates pressure using ambient pressure and peak-on side pressure.

##### Sachs Scaling Law

Scaled Distance at Altitude 'z' - computes impulse using the ambient pressure and the pressure at the 'z' altitude. This equation is part of Sachs scaling law.

Scaled Impulse at Altitude 'z' - computes impulse using the ambient pressure, ambient temperature, pressure at the 'z' altitude and temperature at the 'z' altitude.

Scaled Impulse at Altitude 'z' - computes impulse using the ambient pressure, ambient temperature, pressure at the 'z' altitude and temperature at the 'z' altitude.

Scaled Pressure at Altitude 'z' - computes impulse using the pressure at the 'z' altitude and the ambient pressure. This equation is part of Sachs scaling law.

##### Reflection Coefficient

Is used during explosion consequence analysis (ECA) to compare Peak Reflected Pressure against Peak Side-On Pressure.

##### Impulse

Scaled Impulse - is often used to predict the effects of blast on humans.

Scaled Impulse - is often used to predict the effects of blast on humans.

### Explosive Parameters

Detonation Pressure - of an explosive provides an indicator of its ability to do work and determines whether it is a high brisance or low brisance explosive.

TNT Equivalence - estimates how much explosive is needed.

### Balistics

Vertical Velocity - This equation calculates the vertical velocity after some time, t, due to the initial velocity and the force of gravity.

Ballistic Angle of Velocity - This equation calculates the angle of the velocity from the local horizontal for an object with input velocity components

Ballistic Coefficient - equation computes the factor representing the effect of air resistance on a ballistic projectile.

Ballistic Initial Horizontal Velocity Component - This equation calculates the horizontal (x) component of initial velocity given the initial velocity vector magnitude and the launch angle.

Ballistic Initial Vertical Velocity Component - This equation calculates the vertical (y) component of initial velocity given the initial velocity vector magnitude and the launch angle.

Ballistic X Velocity - This equations calculates an object's velocity in the x direction, the horizontal component of its ballistic trajectory.

Ballistic Y Velocity - This equations calculates an object's velocity in the y direction, the vertical component of its ballistic trajectory.

Ballistic Max Height - This equation computes the maximum height (h) of an object in trajectory motion above a plane.

Ballistic Projectile Displacement x(v0,t,θ) - Calculates the projectile displacement in the x direction given, initial velocity, launch angle, and time

Ballistic Projectile Displacement - y(t,θ, v0) - This equation computes the vertical displacement for a ballistic projectile subject to only the force of gravity.

Ballistic Range - equation calculates the range (horizontal distance) traveled by an object based on the flight height (h) above the horizon of the launch point, initial velocity (V) of the object, and angle of launch (theta), and the vertical acceleration (g).

Ballistic Range - Delta Height - The delta height for ballistic range formula computes the difference in ballistic range (dx) based on the difference in the initial height.

Horizontal Velocity Component (ballistic) - This equation calculates the horizontal (x) component of the velocity of a ballistic trajectory assuming no drag on the object.

### Simple Range Safety Distances

Simple Noise Prediction - equation can be used to predict the distance at which *140dB of sound could be expected to be achieved.

Initial Fragment Velocity - can be used with other ballistic equations to predict either danger areas or fragment penetration.

Simple Range Safety Distance - estimates the range of the danger area needed when planning the destruction of any ammunition by open detonation on existing demolition ranges with existing marked danger areas.

Single Ammunition Vertical Danger Distance - equation estimates the vertical danger areas necessary to warn air traffic of demolitions taking place on the ground for a single ammunition only.

Multi-Item Fragmenting Munition Vertical Danger Distance equation estimates the vertical danger areas necessary to warn air traffic of demolitions taking place on the ground for multiple fragmenting ammunition.

### Effects on Structures

Depth of Penetration - calculates the depth made by a projectile.

Ground Shock Estimation - calculates the vibration waves traveling through the ground while taking into account amplitude and the fact that vibration waves can take the form of a sin wave.

### Effects on People

Probability of Fatality - This equation calculates the probability of fatality when exposed to explosives.

Risk of Fatality - equation takes into account the probability of fatality, the number of times an incident happens in a year and the exposure to hazardous material when computing for risk.

### Periodic Table

This function returns the data referenced by element name.  Data includes units and conversions when applicable.  This equation will return the selected details data of the requested Element.

### Resource:

• "Formulae for Ammunition Management." International Ammunition Technical Guideline. 1st ed. New York: UN, 2013. 2-3.UN SaferGuard. United Nations Office for Disarmament Affairs (UNODA), 20 May 2013. Web. 12 June 2015. <http://www.un.org/disarmament/convarms/Ammunition>.