UniversityofScienceandTechnologyofChina96JinzhaiRoad,HefeiAnhui230026,ThePeople’sRepublicofChina三线摆测量刚体转动惯量实验报告李方勇PB052102840510第29组2号（周五下午）2006.11.06实验题目三线摆测量刚体转动惯量实验目的1、掌握用三线摆测定物体的转动惯量的方法；2、验证转动惯量的平行轴定理；3、根据误差公式及实际装置、仪器情况、合理选择仪器和安排测量。实验仪器三线摆，电子秒表，游标卡尺，米尺，水准仪，物理天平，待测的金属圆环和两个质量，形状相同的金属圆柱。图4－1三线摆结构实验原理图4－2下圆盘的扭转振动1．三线摆测定物体的转动惯量公式推导：12．在圆盘上加上物体后：3．验证转动惯量的平行轴定理实验内容1．测定仪器常数R,r,H。2．测量下圆盘得转动惯量，并计算其误差。3．测量圆环得转动惯量并与理论值比较求相对误差。4．验证平行轴定理。实验数据见另上交的纸质原始数据数据处理及分析评定实验结果的不确定度1．仪器常数平均值mean及A类不确定度UA由Origin处理而得表4－1仪器常数单位mm123456meanUAUBUR102.65102.64102.65102.61102.62102.63102.633350.006660.0120.014r51.32551.32051.32551.30551.31051.31551.316670.003330.0120.012H481.9481.0481.5481.7481.8481.3481.53330.138240.0300.141D内170.00169.98169.92169.96169.96169.98169.96670.011160.0120.016D外190.00190.00190.00190.02190.00190.00190.00330.003330.0120.012圆盘质量m0＝360.3g圆环质量m环＝397.5g圆柱质量m柱＝200.0g2．时间测量电子秒表表4－2时间测量单位s12345meanUAUBU50T071.3171.1971.1471.1571.6571.2880.095410.0860.1284550T182.8281.5882.3081.7481.8082.0480.227470.0860.2431850T2150.850.2850.43--------50.503330.154520.0860.1768450T2253.1153.0853.18--------53.123330.029630.0860.0909650T2357.9858.3958.30--------58.223330.124410.0860.1512450T2466.7766.2766.34--------66.460000.156310.0860.1784150T2576.8876.4376.5--------76.603330.13980.0860.16413注T21～T25分别为d=0~80mm的周期3．求下圆盘的转动惯量不确定度：4．求圆环的转动惯量不确定度：圆环的转动惯量的理论值相对误差5．验证平行轴定理：表4－3平行轴定理数据d(mm)50T(s)系统转动惯量相对误差实测值理论值050.503332.10491.97766.4％2053.123332.25002.13765.3％4058.223332.79762.61766.8％6066.460003.64513.41766.6％8076.603334.8427...
