The Technique of Uncertainty Analysis as Applied to the Momentum Equation for Accident Reconstruction

In experimental work, it is well known that measured values are not exact. Statistical treatment of uncertainty in measured values is common. The propagation of uncertainty in measured values into calculated values is examined. This technique of uncertainty analysis presented provides a rigorous mathematical technique for the analysis of uncertainty propagation from experimentally measured values into calculated results. The method of uncertainty analysis is introduced in general and an application to the momentum equation is examined to demonstrate the technique. The example presented demonstrates the effectiveness of the technique by demonstrating the growth of uncertainty in the calculated results around a singularity in the equations.