扭摆法测转动惯量摆长最佳值的探究

The exploration of rotational inertia for optimal length by torsion pendulum method

通过改变摆线的长度来分析摆线变化对于刚体转动惯量不确定度的影响,得出扭摆法实验中刚体转动惯量J_0以及不确定度随摆长变化的特性.利用与摆长有关的扭转模量K的计算方法,通过改变摆长将实验值J′_0与计算值J_0相对比,总结出摆长变化与转动惯量值之间满足非完全线性关系,最后通过优化摆长确定了该实验中摆长的最佳位置.本文的研究结果对优化实验条件具有一定的指导意义.

We analyze the influence for uncertainty by changing the variation length of rotational inertia, and obtain the characteristic of rotational inertia Jo and uncertainty which are changed by variation length of pendu- lum. The calculation method of rotational modulus K also be considered in this scheme, and we compared the experimental value J0 with calculated value J0, so we summarize the incomplete linear relationship between the change of length of pendulum and the rotational inertia. Then, we determine the optimal value by optimized thelength of pendulum in finally. The conclusion has a certain significance to optimize the condition of experi- ment.