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1、速度和加速度的测量实验数据处理(样本)(仅供参考,数据不得抄袭!)n 实验数据的测量1. P0=120.0cm,P1=80.0cm,S=40.0cm时间 次数12345Avert0337336336336337(t0+t1)(0.1ms)577575575575577t1(0.1ms)240239239239240239.4t1(ms)756756756756755755.82. P0=120.0cm,P2=70.0cm,S=50.0cm时间 次数12345Avert0337337336337337(t0+t2)(0.1ms)560560560561561t2(0.1ms)2232232242
2、24224223.6t2(ms)902900900900900900.43. P0=120.0cm,P3=60.0cm,S=60.0cm (实验数据处理2需要用到)时间 次数12345Avert0337336336335335335.8(t0+t3)(0.1ms)549548547546546t3(0.1ms)212212211211211211.4t3(ms)103910381038103910371038.24. P0=120.0cm,P4=50.0cm,S=70.0cm时间 次数12345Avert0337337337336336(t0+t4)(0.1ms)536537536536535
3、t4(0.1ms)199200199200199199.4t4(ms)1168116811661169116911685. P0=120.0cm,P5=40.0cm,S=80.0cm时间 次数12345Avert0(0.1ms)337338337337337(t0+t5)(0.1ms)528528528528528t5(0.1ms)191190191191191190.8t5(ms)129212911290129012901290.6n 实验数据处理1. v-t图(vi=v0+a*ti,vi=l/ti,l=1.50cm;利用最小二乘法求加速度a及相关系数r)S1S2S3S4S5Averti(m
4、s)755.8900.41038.211681290.61030.6vi(cm/ms)0.06270.06710.07100.07520.07860.0709ti *vi47.355960.40273.666087.8636101.462374.1501ti2571233.64810720.161.07786E61.36422E61.66565E61.09794E6vi20.003930.00450.005030.005660.006180.00506V-t图:=(1030.6*0.0709-74.1501)/(1030.6*1030.6-1.09794E6)=3.02*10-5(cm/ms2
5、) =0.99 r绝对值接近1,说明v-t存在较密切的线性关系。2. 利用公式计算滑块由P0运动到P3(即第三组数据)的加速度,并用不确定度表示结果(), ; =0.0077; =0.00289 = (0.1ms档)=0.12; =0.14629=0.14629/33.58=0.00436 = (0.1ms档)=0.12; =0.13191=0.13191/21.14=0.00624=0.02185*100%=2%=2.53277*10-5(cm/ms2)=2.53277*10-5*0.02185=0.055*10-53. S/t-t图(S/t =v0+1/2a*t,vi=l/ti,l=1.50cm;ti(ms)755.8900.41038.211681290.6Si(cm)40.050.060.070.080.0Si /ti(cm/ms)0.052920.055530.057790.059930.06199S/t-t图:1