296. The Derivation of an Efficiency Factor and Its Application to a Torsional System for Determining Mass Moments of Inertia

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Paper

G T Carpenter, D T Meredith: 296. The Derivation of an Efficiency Factor and Its Application to a Torsional System for Determining Mass Moments of Inertia. 1961.

 

Abstract

This paper was presented at the Twentieth National Conference of the Society of Aeronautical Weight Engineers at Akron, Ohio, May 15 – 18, 1961. This paper explains the derivation, by experimental means, of empirical correction to classical procedures presently used to measure Mass Moments of Inertia by a torsion rod system. The use of an efficiency factor (E) is incorporated in the mathematical equation I = Kt^2 to be I =EKt^2.
The relationship between a perfect measuring system (a non-existing absolutely frictionless fixture with no internal or external ‘drag’ forces, capable of producing ‘perpetual motion’) and a normal measuring system operating in average environment was used to determine the ‘efficiency factor.’
Through intense investigation, it was proven that the decay or dampening experienced with a normal measuring system was directly related to some combination of the system configuration and mass of that object contained within it. This relationship is established and applied to resulting Inertia Measuring methods.

 

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