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)223223224
2、224224223.6t2(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)53653753653653
3、5t4(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. vt图(vi=v0+ati,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(ms
4、)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。070974.1501)/(1030。6*1030。6-1.09794E6)=3。02*10-5(cm/ms2)
5、=0。99 r绝对值接近1,说明vt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*105(cm/ms2)=2。5327710-50.02185=0.055*1053. 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/tt图: