The Hopkinson-Cranz Scaling Law Range calculator computes for the range estimation (R) needed when dealing with ammunition management.
INSTRUCTIONS: Choose units and enter the following:
Range Estimation (R): The calculator computes the range in meters. However, this can be automatically converted into other length units via the pull-down menu.
The Hopkinson-Cranz Scaling Law, also known as the cube-root scaling law, is used in explosives engineering to estimate how the effects of an explosion (like overpressure or impulse) scale with the distance from the explosion and the size of the explosive charge. The Hopkinson-Cranz Scaling Law Range formula is:
`R = z * w ^(1/3)`
where:
Many States use rules based upon the explosives, their quantity, and the distance from the explosive to where people are at risk. These rules are known as Quantity-Distance (Q-D) criteria, and are based on the approach derived from the Hopkinson-Cranz Scaling Law5 6, which is further amended by a range of coefficients. It is the basis of much of the work on the estimation of appropriate quantity and separation distances.
Examples of ammunition distance coefficients used in the field: