【北京理工大學大學物理實驗數(shù)據(jù)處理】剛體的轉(zhuǎn)動慣量(優(yōu)化版)

1、t1/st1/st2/st2/s1/rads-21/rads-2t1/st1/st2/st2/s1 13.93578.36590.635521.19984.94582 23.95478.37140.640041.2515.1653 34.06588.46390.647571.13724.67754 44.00868.39860.643281.1374.67425 54.06068.45240.649341.11954.59756 63.94138.33080.648211.14144.6933平平均均值值0.643993333平平均均值值-0.083008333uAuA0.005423924u

2、AuA0.002175302(u)(u)0.6439933330.005423924(u)(u)-0.083008333I I的的不不確確定定度度uCuC0.000181726I(u)I(u)0.008425015m2/(kg)m2/(kg)0.491上上表表是是1 1、（1 1）有有鋁鋁環(huán)環(huán)時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)使使用用說說明明1、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成。t1/st1/st2/st2/s1/rads-21/rads-2t1/st1/st2/st2/s1 12.40454.65

3、422.477590.56662.30632 22.01914.2842.432580.57052.32263 32.13324.37592.495220.56642.30534 42.07134.31372.490910.56682.30675 52.14124.38922.483650.56942.31826 62.07214.30772.50680.5672.307平平均均值值2.481125平平均均值值-0.219098333uAuA0.025803526uAuA0.002081388(u)(u)2.4811250.025803526(u)(u)-0.219098333I0I0的的不不

4、確確定定度度uCuC5.03423E-05I0(u)I0(u)0.002268331上上表表是是1 1、（2 2）無無鋁鋁環(huán)環(huán)時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)實實驗驗值值理理論論值值IxIx0.006156684I I理理0.006241837u(Ix)u(Ix)0.00018857I I理理(u)(u)0.006241837上上表表是是1 1、（3 3）鋁鋁環(huán)環(huán)的的轉(zhuǎn)轉(zhuǎn)動動慣慣量量1/rads-21/rads-2-0.08288-0.08-0.08588-0.08106-0.08389-0.084340.0021753020.0001817261/rads-21/rads-2-0.2

5、2056-0.21976-0.21972-0.2182-0.22102-0.215330.0020813885.03423E-051.56582E-06-0.0830083330.0021753020.491上上表表是是1 1、（1 1）有有鋁鋁環(huán)環(huán)時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)1、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成。-0.2190983330.002081388上上表表是是1 1、（2 2）無無鋁鋁環(huán)環(huán)時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)理理論論值值0.006241837上上表表是是1 1、

6、（3 3）鋁鋁環(huán)環(huán)的的轉(zhuǎn)轉(zhuǎn)動動慣慣量量下下表表是是2 2、（1 1）有有鋁鋁盤盤時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)m3/kgm3/kg0.472m/kgm/kg0.0150.0150.020.020.0250.0250.030.030.0350.0350.040.04t/st/s9.0997.82977.08766.33575.87545.4085(1/t2)s-2(1/t2)s-20.012078490.0163121 0.019906810.024912126 0.02896844 0.0341858最最小小二二乘乘法法擬擬合合斜斜率率k k1.060135234轉(zhuǎn)轉(zhuǎn)動動慣慣量量I

7、I0.005169847相相關關系系數(shù)數(shù)r r0.997938889下下表表是是2 2、（2 2）無無鋁鋁盤盤時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)m/kgm/kg0.0150.0150.020.020.0250.0250.030.030.0350.0350.040.04t/st/s5.76954.8664.33733.9413.59693.415(1/t2)s-2(1/t2)s-20.03004164 0.04223338 0.053157070.06438536 0.07729355 0.0857469最最小小二二乘乘法法擬擬合合斜斜率率k k0.427933496轉(zhuǎn)轉(zhuǎn)動動慣慣量量I0I

8、00.002086857相相關關系系數(shù)數(shù)r r0.998429017下下表表是是2 2、（3 3）鋁鋁盤盤的的轉(zhuǎn)轉(zhuǎn)動動慣慣量量實實驗驗值值 IxIx0.00308299理理論論值值 I I理理0.0033984使使用用說說明明1、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成；3、本節(jié)中討論線性回歸方程斜率、截距時均以質(zhì)量m m為為y y軸軸、以(1/t2)(1/t2)為為x x軸軸。0.0450.0450.050.055.01534.71420.03975632 0.04499704截截距距0.003198240.0

9、450.0450.050.053.19492.95930.09796828 0.11418841截截距距0.00227642下下表表是是2 2、（1 1）有有鋁鋁盤盤時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)0.4720.005169847下下表表是是2 2、（2 2）無無鋁鋁盤盤時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)0.002086857下下表表是是2 2、（3 3）鋁鋁盤盤的的轉(zhuǎn)轉(zhuǎn)動動慣慣量量0.00339841、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成；3、本節(jié)中討論線性回歸方程斜率、截距時均以質(zhì)量m m為

10、為y y軸軸、以(1/t2)(1/t2)為為x x軸軸。下下表表是是3 3、（1 1）鋼鋼柱柱在在（2,22,2）位位置置時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)2m0/kg2m0/kg0.375t1/st1/st2/st2/s1/rads-21/rads-2t1/st1/st2/st2/s1 13.05646.28691.202220.90263.76612 23.01276.25071.195320.90383.75813 32.97866.2171.193890.91523.8014平平均均值值1.197143333平平均均值值-0.190813333轉(zhuǎn)轉(zhuǎn)動動慣慣量量I1I10.0044

11、12962下下表表是是3 3、（2 2）鋼鋼柱柱在在（1,31,3）或或（3,13,1）位位置置時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)t1/st1/st2/st2/s1/rads-21/rads-2t1/st1/st2/st2/s1 13.01046.22241.215390.82793.36482 22.94386.17041.232670.82633.36083 32.99046.21871.202090.8113.295平平均均值值1.216716667平平均均值值-0.095193333轉(zhuǎn)轉(zhuǎn)動動慣慣量量I2I20.004668765計計算算I2-I1I2-I10.0002558032

12、m0d22m0d20.000234375使使用用說說明明1、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成。1/rads-21/rads-2-0.20101-0.18523-0.18621/rads-21/rads-2-0.0946-0.09443-0.09655下下表表是是3 3、（1 1）鋼鋼柱柱在在（2,22,2）位位置置時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)0.375-0.1908133330.004412962下下表表是是3 3、（2 2）鋼鋼柱柱在在（1,31,3）或或（3,13,1）位位置置時時轉(zhuǎn)轉(zhuǎn)動動慣慣量量的的測測量量數(shù)數(shù)據(jù)據(jù)-0.0951933330.0046687650.0002343751、表中原存在的數(shù)據(jù)為實驗所得數(shù)據(jù)，僅供參考；2、使用時只需將灰灰色色框框內(nèi)數(shù)據(jù)重新填寫即可，白白色色框框內(nèi)數(shù)據(jù)將自動計算生成。思思考考