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A STUDY OF THE EFFECT OF GEOMETRICAL FACTORS UPON THE BEHAVIOUR OF AN UNTUNED CLOCK MECHANISM
VIRGINIA MILITARY INST LEXINGTON DEPT OF PHYSICS
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The dependence on time delay of the following geometrical factors was determined empirically 1 the angle at the verge corner, 2 the center to center distance, verge to wheel, 3 the radius of the tooth circle of the wheel, 4 the position of the corner points of the verge with respect to the axis of rotation of the verge. It was found that except in case 1, the empirical relationship T Btau to the minus 0.5 powerI sub v to the .612 powerI sub w to the minus .112 power must be rewritten the powers of I sub v and I sub w to predict times T. The given relationship is correct for the geometrical situation of case 1. In each of the case 2, 3, and 4 a linear relationship approximately is found to hold when values of T are plotted against values of the geometrical factor being varied. The work was actually carried out for a scaled up model of a particular untuned clock mechanism.
APPROVED FOR PUBLIC RELEASE