理论力学转动惯量实验报告Word格式文档下载.docx
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理论力学转动惯量实验报告Word格式文档下载.docx
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1.675
1.159
1.280
2.189
11∏
7.273
7.559
6.745
6.972
8.364
2∏
2.377
2.677
2.026
2.190
3.286
12∏
7.668
7.949
7.136
7.361
8.763
3∏
3.161
3.474
2.758
2.945
4.128
13∏
8.066
8.341
7.531
7.753
9.151
4∏
3.835
4.150
3.399
3.600
4.844
14∏
8.463
8.733
7.924
8.144
9.542
5∏
4.441
4.755
3.982
4.192
5.471
15∏
8.863
9.127
8.320
8.538
9.332
6∏
4.991
5.301
4.515
4.731
6.042
16∏
9.262
9.520
8.715
8.930
10.325
7∏
5.504
5.810
5.015
5.235
6.564
17∏
9.664
9.916
9.113
9.325
10.717
8∏
5.981
6.282
5.481
5.704
7.054
18∏
10.065
10.311
9.510
9.719
11.112
9∏
6.434
6.730
5.924
6.149
7.512
19∏
10.469
10.709
9.910
10.117
11.505
10∏
6.862
7.153
6.342
6.569
7.950
20∏
10.871
11.105
10.309
10.512
11.902
数据处理
平均值
β1
-0.04952
-0.04310
-0.04674
-0.03467
-0.05222
-0.04525
β2
0.8650
0.9171
0.8563
0.8729
0.8773
0.8777
转动惯量
0.02138
0.02036
0.02165
0.02155
0.02103
0.02120
2.测量圆环的转动惯量
塔轮半径r=40mm圆环外径215mm内径175mm质量1010g
1
2
3
4
5
1.468
2.891
2.246
1.824
2.120
8.233
10.403
9.627
9.019
9.418
2.536
4.231
3.529
3.035
3.384
8.704
10.887
10.110
9.496
9.895
3.431
5.225
4.525
4.003
4.372
9.178
11.360
10.582
9.962
10.365
4.209
6.125
5.379
4.839
5.219
9.651
11.837
11.058
10.433
10.838
4.913
6.887
6.131
5.576
5.965
10.128
12.311
11.533
10.902
11.310
5.554
7.581
6.818
6.252
6.645
10.603
12.790
12.011
11.375
11.785
6.154
8.217
7.449
6.873
7.269
11.082
13.267
12.488
11.846
12.259
6.713
8.813
8.043
7.456
7.854
11.559
13.748
12.969
12.321
12.737
7.245
9.370
8.598
8.002
8.401
12.040
14.227
13.448
12.795
13.213
7.749
9.901
8.524
8.923
12.520
14.710
13.931
13.273
13.693
-0.03172
-0.009620
-0.009650
-0.01250
-0.01478
-0.01164
0.6071
0.5972
0.5955
0.5917
0.6015
0.5986
转
动
惯
量
盘+环
0.03062
0.03224
0.03233
0.03238
0.03174
0.03186
环
0.009430
0.01105
0.01113
0.01118
0.01055
0.01067
误差
计算
实测值:
百分误差
9.98%
理论值:
0.009702
3.验证平行轴定理(圆柱体直径38mm质量2×
400g)
(1)D=40mm
2.045
1。
810
1.520
1.873
1.779
8.392
8.062
7.632
8.188
8.045
3.162
2.898
2.538
2.972
2.860
8.803
8.472
8.040
8.600
8.457
4.029
3.745
3.353
3.828
3.707
9.206
8.875
8.444
9.007
8.862
4.766
4.468
4.061
4.561
4.432
9.614
9.282
8.851
9.417
9.272
5.412
5.106
4.689
5.205
5.072
10.019
9.687
9.256
9.826
9.680
6.000
5.687
5.266
5.793
5.657
10.429
10.096
9.665
10.238
10.091
6.538
6.221
5.796
6.331
6.194
10.837
10.504
10.073
10.649
10.501
7.043
6.722
6.295
6.837
6.690
11.248
10.915
10.484
11.063
7.515
7.191
6.763
7.310
7.170
11.658
11.324
10.894
11.476
11.327
7.966
7.639
7.209
7.761
7.619
12.071
11.737
11.307
11.893
11.743
-0.03476
-0.03488
-0.03880
-0.03030
-0.02600
-0.03309
0.8184
0.8236
0.8051
0.8095
0.8110
0.8135
转动
惯量
0.001527
0.001384
0.001778
0.001890
0.001951
0.001706
实测值:
0.0008530
19.80%
理论值:
0.0007120
(2)D=80mm
2.114
1.722
2.253
1.961
1.771
8.994
8.391
9.140
8.869
8.494
3.335
2.847
3.464
3.148
2.912
9.422
8.835
9.588
9.323
8.940
4.259
3.743
4.399
4.081
3.815
9.884
9.274
10.029
9.771
9.379
5.051
4.516
5.196
4.882
4.594
10.329
9.716
10.474
10.223
9.822
5.749
5.198
5.898
5.558
5.283
10.773
10.157
10.917
10.673
10.263
6.388
5.825
6.537
6.234
5.913
11.221
10.602
11.364
11.127
10.708
6.974
6.400
7.123
6.826
6.492
11.668
11.046
11.810
11.579
11.152
7.525
6.941
7.672
7.381
7.036
12.118
11.493
12.035
11.599
7.448
8.186
7.902
12.567
11.939
12.707
12.490
12.045
8.531
7.992
8.676
8.389
8.033
13.019
12.389
13.159
12.948
12.495
-0.03247
-0.03681
-0.02669
-0.02270
-0.02706
-0.02902
0.6924
0.6926
0.6936
0.6652
0.6860
0.005750
0.005604
0.005923
0.006204
0.006197
0.005936
0.002968
12.77%
0.002632
(3)D=120mm
2.176
2.327
2.503
2.491
9.760
9.954
9.755
10.187
10.234
3.483
3.651
3.492
3.853
3.857
10.258
10.452
10.252
10.687
10.732
4.508
4.682
4.513
4.895
4.914
10.748
10.943
10.742
11.179
11.223
5.387
5.564
5.390
5.786
5.813
11.242
11.438
11.236
11.676
11.718
6.162
6.324
6.163
6.568
6.602
11.735
11.931
11.728
12.171
12.212
6.870
7.052
7.282
7.321
12.232
12.428
12.225
12.671
12.709
7.519
7.704
7.935
7.979
12.728
12.924
12.720
13.169
13.205
8.129
8.316
8.128
8.548
8.595
13.228
13.424
13.219
13.671
13.705
8.700
8.890
8.697
9.122
9.169
13.726
13.922
13.717
14.171
14.203
9.244
9.436
9.241
9.669
14.228
14.424
14.219
14.676
14.706
-0.02348
-0.01940
-0.02382
-0.02254
-0.01723
-0.02195
0.5543
0.5570
0.5572
0.5677
0.5546
0.01273
0.01282
0.01256
0.01247
0.01352
9.85%
0.01167
4.验证转动惯量与外力矩无关
塔轮半径r=50mm
1.258
1.477
1.367
1.315
1.230
6.520
6.884
6.739
6.638
6.478
2.119
2.397
2.266
2.199
2.086
6.914
7.279
7.134
7.032
6.872
2.814
3.123
2.984
2.908
2.778
7.307
7.637
7.528
7.424
7.265
3.418
3.748
3.605
3.522
3.381
7.703
8.070
7.926
7.820
7.661
3.956
4.298
4.154
4.067
3.917
8.098
8.465
8.321
8.214
8.055
4.450
4.800
4.656
4.564
4.411
8.496
8.864
8.720
8.612
8.453
4.905
5.261
5.116
5.021
4.865
8.893
9.261
9.118
9.008
8.849
5.334
5.694
5.548
5.452
5.293
9.293
9.662
9.519
9.407
9.249
5.736
6.099
5.953
5.855
5.695
9.691
10.061
9.919
9.805
9.648
6.129
6.346
6.247
6.087
10.093
10.463
10.322
10.207
10.050
-0.04709
-0.04261
-0.04727
-0.04293
-0.04533
1.0840
1.0916
1.0707
1.0789
1.0807
1.0811
0.02159
0.02153
0.02185
0.02168
0.02173
误差:
2.25%
由此可知:
在误差范围内,刚体转动惯量与外力矩无关
【误差分析】
★注:
本实验测量刚体转动惯量和验证平行轴定理的实验误差较大,现对误差产生原因进行如下分析:
1.实验设施较为简陋,各刚体的尺寸以及质量有一定的不准确性
2.实验时缠绕细线的松紧度不同,讨论认为这会对实验结果有一定的影响
3.因塔轮每个槽处都有一定的宽度,所以在砝码下落过程中细线并非时刻保持水平
4.细线和塔轮以及细线和滑轮之间存在摩擦
5.每次释放时砝码不完全静止且每次的释放高度可能不相同
6.释放时刚体可能获得了一定的初速度
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