不等精度最小二乘法测定转动惯量和摩擦阻力矩

对一元线性不等精度测量的实验数据， 按权重处理后变成等精度方程， 使用最小二乘法拟合直线， 确定刚体的转动惯量和摩擦阻力矩， 并对测量量的不确定度进行了计算。同时采用Ｍｕｌｔｉｍｅｄｉａ ＴｏｏｌＢｏｏｋ 多媒体著作工具制作实验数据处理的多媒体软件， 该软件具有界面友好、操作方便、计算准确。结果与作图法、等精度最小二乘法相比较， 并且分析了不等精度最小二乘法求解物理量的意义。

Using Least Square Method of the Measurement in Unequal Precision to Measure the Moment of Inertia and Resistant Moment of Force Torque

We treated the experiment datum of the unitary linear measurement in unequal precision with added power and made them into an equal precision equation. We used least square method to make a straight line and determined the moment of inertia and resistant moment of force torque. We applied Multimedia ToolBook, an excellent multimedia tool for authors, to make the software that is convenient, accurate, and friendly looking. In the software, we treated the data with unequal precision method and compared to equal precision method and construction method.