2011Physical Experiment of CollegeRequires access

Analysis on the Uncertainty of Rotational Inertia by Method of Torsion Pendulum

Jian‐Xin Chen

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Abstract

The method of torsion pendulum is an effective method to measure rotational inertia,the key of which is the analysis of the corresponding uncertainty.The accurate transfer formula of uncertainty of torsion pendulum method was deduced,the influences of the direct measurements and the corresponding uncertainty on the uncertainty of rotational inertia were obtained,and the calculation examples were given.The result shows that the error and uncertainty of rotational inertia measured by the method of torsion pendulum is much less than which measured by the method of three-wire pendulum,which have importantly practical significance to choosing experimental methods and developing laboratory instruments.

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The method of torsion pendulum is an effective method to measure rotational inertia,the key of which is the analysis of the corresponding uncertainty.The accurate transfer formula of uncertainty of torsion pendulum method was deduced,the influences of the direct measurements and the corresponding uncertainty on the uncertainty of rotational inertia were obtained,and the calculation examples were given.The result shows that the error and uncertainty of rotational inertia measured by the method of torsion pendulum is much less than which measured by the method of three-wire pendulum,which have importantly practical significance to choosing experimental methods and developing laboratory instruments.

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Available abstract

The method of torsion pendulum is an effective method to measure rotational inertia,the key of which is the analysis of the corresponding uncertainty.The accurate transfer formula of uncertainty of torsion pendulum method was deduced,the influences of the direct measurements and the corresponding uncertainty on the uncertainty of rotational inertia were obtained,and the calculation examples were given.The result shows that the error and uncertainty of rotational inertia measured by the method of torsion pendulum is much less than which measured by the method of three-wire pendulum,which have importantly practical significance to choosing experimental methods and developing laboratory instruments.

Key concepts: Torsion pendulum clock, Moment of inertia, Inertia, Torsion (gastropod), Pendulum, Rotary inertia, Physics, Classical mechanics

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