The supplement file that enclosed to this homework consists Time Versus Force data. The first column in the file stands for time (second) and the 2nd stands for force (Volt), respectively. This data were retrieved during an impact event. In this test, an impactor strikes to a sample. A force-ring sensor that attached to the impactor generates voltage during collision. A data acquisition card gathers the generated signals. a) Determine a factor that will be used in the conversion from V to N. The calibration data that supplied by manufacturer as below: lbf mV 0 0 2000 898 4000 1791 6000 2683 8000 3578 10000 4466 b) Compute the impulse of this event. c) Obtain acceleration, velocity and displacement histories by using Newton’s second law of motion. d) Compute the absorbed energy during collision. • Take the mass of the impactor as 30 kg and strike velocity as 2.0 m/s. • Pick the best numerical technique, justify your choice. • All results must be in SI units. The supplement file* (.txt) 0 0.000573 1E-04 0.000896 0.0002 0.000251 0.0003 0.000735 0.0004 0.000412 0.0005 0.000573 0.0006 0.000735 0.0007 0.000573 0.0008 0.000573 0.0009 0.000573 0.001 -0.000232 0.0011 0.00154 0.0012 0.000412 0.0013 0.000735 0.0014 0.000735 0.0015 0.000573 0.0016 0.000735 0.0017 0.000735 0.0018 0.000896 0.0019 0.000412 0.002 0.001863 0.0021 0.000251 0.0022 0.000251 0.0023 0.00154 0.0024 -7.11179E-05 0.0025 0.000412 0.0026 0.000896 0.0027 0.001057 0.0028 0.000573
The supplement file that enclosed to this homework consists Time Versus Force data. The first column in the file stands for time (second) and the 2nd stands for force (Volt), respectively. This data were retrieved during an impact event. In this test, an impactor strikes to a sample. A force-ring sensor that attached to the impactor generates voltage during collision. A data acquisition card gathers the generated signals.
a) Determine a factor that will be used in the conversion from V to N. The calibration data that supplied by manufacturer as below:
| lbf | mV |
| 0 | 0 |
| 2000 | 898 |
| 4000 | 1791 |
| 6000 | 2683 |
| 8000 | 3578 |
| 10000 | 4466 |
b) Compute the impulse of this event.
c) Obtain acceleration, velocity and displacement histories by using Newton’s second law of motion.
d) Compute the absorbed energy during collision.
• Take the mass of the impactor as 30 kg and strike velocity as 2.0 m/s.
• Pick the best numerical technique, justify your choice.
• All results must be in SI units.
The supplement file* (.txt)
0 0.000573
1E-04 0.000896
0.0002 0.000251
0.0003 0.000735
0.0004 0.000412
0.0005 0.000573
0.0006 0.000735
0.0007 0.000573
0.0008 0.000573
0.0009 0.000573
0.001 -0.000232
0.0011 0.00154
0.0012 0.000412
0.0013 0.000735
0.0014 0.000735
0.0015 0.000573
0.0016 0.000735
0.0017 0.000735
0.0018 0.000896
0.0019 0.000412
0.002 0.001863
0.0021 0.000251
0.0022 0.000251
0.0023 0.00154
0.0024 -7.11179E-05
0.0025 0.000412
0.0026 0.000896
0.0027 0.001057
0.0028 0.000573
0.0029 0.000573
0.003 0.000251
0.0031 9.00277E-05
0.0032 0.000573
0.0033 0.000735
0.0034 0.000573
0.0035 0.000573
0.0036 0.000896
0.0037 0.000412
0.0038 0.000735
0.0039 0.000251
0.004 0.000573
0.0041 0.000573
0.0042 0.000412
0.0043 9.00277E-05
0.0044 0.000573
0.0045 0.000412
0.0046 0.000412
0.0047 0.013626
0.0048 0.151406
0.0049 -0.000232
0.005 0.047789
0.0051 -0.011674
0.0052 0.030547
0.0053 0.208613
0.0054 0.032803
0.0055 0.146571
0.0056 0.032803
0.0057 0.156885
0.0058 0.183796
0.0059 0.171066
0.006 0.108863
0.0061 0.172838
0.0062 0.194593
0.0063 0.245676
0.0064 0.197816
0.0065 0.187986
0.0066 0.265336
0.0067 0.250027
0.0068 0.275649
0.0069 0.239069
0.007 0.278389
0.0071 0.32786
0.0072 0.301271
0.0073 0.299821
0.0074 0.338335
0.0075 0.345264
0.0076 0.368308
0.0077 0.352355
0.0078 0.373948
0.0079 0.403116
0.008 0.398442
0.0081 0.402471
0.0082 0.425676
0.0083 0.436795
0.0084 0.440663
0.0085 0.446142
0.0086 0.452426
0.0087 0.473536
0.0088 0.464834
0.0089 0.480466
0.009 0.484655
0.0091 0.489329
0.0092 0.502059
0.0093 0.499964
0.0094 0.509633
0.0095 0.519141
0.0096 0.522364
0.0097 0.53445
0.0098 0.539767
0.0099 0.551853
0.01 0.552176
0.0101 0.566679
0.0102 0.568129
0.0103 0.581988
0.0104 0.576348
0.0105 0.596652
0.0106 0.589723
0.0107 0.604709
0.0108 0.600197
0.0109 0.612767
0.011 0.609221
0.0111 0.620018
0.0112 0.614056
0.0113 0.625175
0.0114 0.62727
0.0115 0.631943
0.0116 0.636938
0.0117 0.643384
0.0118 0.641289
0.0119 0.649024
0.012 0.653375
0.0121 0.661272
0.0122 0.655148
0.0123 0.654987
0.0124 0.678353
0.0125 0.662077
0.0126 0.665139
0.0127 0.685121
0.0128 0.664656
0.0129 0.680931
0.013 0.676097
0.0131 0.673196
0.0132 0.683026
0.0133 0.671101
0.0134 0.682865
0.0135 0.678192
0.0136 0.681254
0.0137 0.681093
0.0138 0.676742
0.0139 0.666589
0.014 0.684799
0.0141 0.666589
0.0142 0.67787
0.0143 0.660627
0.0144 0.678836
0.0145 0.66804
0.0146 0.669812
0.0147 0.674969
0.0148 0.656921
0.0149 0.682059
0.015 0.664011
0.0151 0.662561
0.0152 0.668845
0.0153 0.657082
0.0154 0.667073
0.0155 0.654826
0.0156 0.65821
0.0157 0.662883
0.0158 0.652409
0.0159 0.655148
0.016 0.654826
0.0161 0.660144
0.0162 0.654665
0.0163 0.654181
0.0164 0.660305
0.0165 0.655148
0.0166 0.659499
0.0167 0.651764
0.0168 0.657565
0.0169 0.653053
0.017 0.648863
0.0171 0.650797
0.0172 0.645318
0.0173 0.644029
0.0174 0.63581
0.0175 0.636938
0.0176 0.630331
0.0177 0.626786
0.0178 0.621146
0.0179 0.62034
0.018 0.614378
0.0181 0.612928
0.0182 0.607449
0.0183 0.605837
0.0184 0.601003
0.0185 0.598263
0.0186 0.594396
0.0187 0.591012
0.0188 0.588272
0.0189 0.581343
0.019 0.578442
0.0191 0.573286
0.0192 0.565712
0.0193 0.563134
0.0194 0.553626
0.0195 0.548308
0.0196 0.539928
0.0197 0.535255
0.0198 0.527843
0.0199 0.522041
0.02 0.514951
0.0201 0.508505
0.0202 0.501898
0.0203 0.49658
0.0204 0.490618
0.0205 0.485461
0.0206 0.479015
0.0207 0.475148
0.0208 0.46838
0.0209 0.462578
0.021 0.456133
0.0211 0.450331
0.0212 0.443885
0.0213 0.436956
0.0214 0.429866
0.0215 0.423742
0.0216 0.415685
0.0217 0.408594
0.0218 0.404082
0.0219 0.394091
0.022 0.389579
0.0221 0.381361
0.0222 0.375237
0.0223 0.368469
0.0224 0.36299
0.0225 0.356867
0.0226 0.351065
0.0227 0.345586
0.0228 0.339463
0.0229 0.333501
0.023 0.32915
0.0231 0.322381
0.0232 0.316741
0.0233 0.311262
0.0234 0.304655
0.0235 0.29966
0.0236 0.292569
0.0237 0.287252
0.0238 0.280806
0.0239 0.274038
0.024 0.268075
0.0241 0.261307
0.0242 0.255989
0.0243 0.249544
0.0244 0.244065
0.0245 0.238102
0.0246 0.232784
0.0247 0.227305
0.0248 0.222149
0.0249 0.216831
0.025 0.211674
0.0251 0.207001
0.0252 0.202167
0.0253 0.196527
0.0254 0.191853
0.0255 0.186213
0.0256 0.18154
0.0257 0.176061
0.0258 0.171227
0.0259 0.165748
0.026 0.160269
0.0261 0.155434
0.0262 0.151083
0.0263 0.145927
0.0264 0.140609
0.0265 0.135936
0.0266 0.131907
0.0267 0.126912
0.0268 0.121755
0.0269 0.117243
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