Direct measurement of the anelasticity of a tungsten fiber (12 pages) 122005
Direct measurement of the anelasticity of a tungsten fiber (12 pages) 122005
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DOI：
10.1103/physrevd.80.122005
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发表时间：
2009-12
期刊：
影响因子：
--
通讯作者：
L. Tu;Qing Li;Zebing Zhou;Qing-Lan Wang;C. Shao;Jun Luo;Shanqing Yang
中科院分区：
文献类型：
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作者：
L. Tu;Qing Li;Zebing Zhou;Qing-Lan Wang;C. Shao;Jun Luo;Shanqing Yang
We report the first precision measurement of the frequency-dependent property of the effective torsion spring constant for a tungsten fiber by using two disk pendulums with different moments of inertia. A quartz fiber with $Q\ensuremath{\approx}3.36\ifmmode\times\else\texttimes\fi{}{10}^{5}$ was used to determine the ratio of the moments of inertia of two pendulums. The experimental result indicated that the torsion spring constant of the tungsten fiber was dependent on the oscillation frequency by $\ensuremath{\Delta}K/\ensuremath{\Delta}({\ensuremath{\omega}}^{2})=(0.954\ifmmode\pm\else\textpm\fi{}0.084)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}\text{ }\text{ }{\mathrm{kgm}}^{2}$ at $\ensuremath{\sim}\mathrm{mHz}$ range, which suggested that the resultant bias in our $G$ measurement with the time-of-swing method was $\ensuremath{\Delta}G/G=(211.80\ifmmode\pm\else\textpm\fi{}18.69)\text{ }\text{ }\mathrm{ppm}$ as reported recently by Jun Luo et al. [Phys. Rev. Lett. 102, 240801 (2009)]. This experiment provided the first direct test to the Kuroda-Newman effect that predicted an upward bias in a $G$ measurement with the time-of-swing method.
We report the first precision measurement of the frequency-dependent property of the effective torsion spring constant for a tungsten fiber by using two disk pendulums with different moments of inertia. A quartz fiber with $Q\ensuremath{\approx}3.36\ifmmode\times\else\texttimes\fi{}{10}^{5}$ was used to determine the ratio of the moments of inertia of two pendulums. The experimental result indicated that the torsion spring constant of the tungsten fiber was dependent on the oscillation frequency by $\ensuremath{\Delta}K/\ensuremath{\Delta}({\ensuremath{\omega}}^{2})=(0.954\ifmmode\pm\else\textpm\fi{}0.084)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}\text{ }\text{ }{\mathrm{kgm}}^{2}$ at $\ensuremath{\sim}\mathrm{mHz}$ range, which suggested that the resultant bias in our $G$ measurement with the time-of-swing method was $\ensuremath{\Delta}G/G=(211.80\ifmmode\pm\else\textpm\fi{}18.69)\text{ }\text{ }\mathrm{ppm}$ as reported recently by Jun Luo et al. [Phys. Rev. Lett. 102, 240801 (2009)]. This experiment provided the first direct test to the Kuroda-Newman effect that predicted an upward bias in a $G$ measurement with the time-of-swing method.