504. Determining Moments of Inertia by Using the Period Decay Rate of a Mechanical Oscillating System
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Paper
Abstract
This paper presents the results of a series of experiments designed to develop a rapid, accurate, and economical method of measuring mass moments of inertia.
In a perfect oscillating system, no ‘additional mass effects’ from environmental atmosphere and no other frictional losses occur. Therefore, the period of oscillation is constant. Since no perfect system exists, a new method is presented here which compensates for losses and gives an accurate value for the period of oscillation. In turn, from the oscillation value, an accurate value for the moment of inertia of the oscillated object can be determined.
This approach to moment of inertia determination has been applied to a torsional air-bearing table. The air-bearing table provides an easy and rapid method for determining moments of inertia of variously shaped objects and lends itself readily to automation.
