多普勒效应综合实验数据处理软件07138

1、多普勒效应综合实验（声速）班级：姓名：学号：仪器编号：实验日期：表1多普勒效应的验证与声速的测量 18C40003Hz次数i12345k (1/m)u=f0/k (m/s)u0(m/s)(u-u0)/u0(%)Vi(m/s)0.490.70.861.031.11119.9333.7341.7-2.4fi (Hz)4006040085401054012540134=0.838m/s=40101.8Hz= 33611.338 mHz/s= 0.702244 m2/s2=0.75254m2/s2=119.91/m=333.7m/s=341.7m/s=-2.4%声速测量1.210.80.60.40.2

2、040020400404006040080401004012040140y = 119.8823x + 40001.3386vf声速测量Linear(声速测量)5 11 5iiiVV=5 2211 5iiiVV=5 11 5iiiff=2 5 2 11 5iiiVV= 5 11 5iiiiiVfVf=0f =ct =( )1 20=331 1+273 cut22iiiiiiVVfVfVk-=0ufk=0 0100%uuu - 自由落体第2页多普勒效应综合实验（自由落体）班级：姓名：学号：仪器编号：实验日期：表2 自由落体运动的测量采样次数i234567ti (s)0.050.100.150.2

3、00.250.30Vi0.541.051.402.052.522.99Vi0.541.031.522.052.533.01Vi0.631.121.592.122.573.08Vi0.611.121.562.122.573.08组别12.2480.2250.6346250.0506250.0637522.2600.63612532.328750.65037542.326250.6511875第一组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.8238x + 0.0371tv自由落体Linear(自由落体)第二组

4、0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7238x + 0.0721tv自由落体Linear(自由落体)第三组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.631x + 0.1618tv自由落体Linear(自由落体)第四组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7357x + 0.1357tv自由落体Linear(自由落体)0

5、f =11n iiiVVn=11n iiittn=2211n iiittn=2 2 11n iiittn= 11n iiiiitVtVn=自由落体第3页第三组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.631x + 0.1618tv自由落体Linear(自由落体)第四组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7357x + 0.1357tv自由落体Linear(自由落体)自由落体第4页40001Hz采样步距50 ms

6、89g(m/s2)平均值g理论值g0(g-g0)/g0(%)0.350.403.483.959.829.739.8-0.73.493.919.723.553.979.633.554.009.74多普勒效应综合实验（自由落体）第二组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7238x + 0.0721tv自由落体Linear(自由落体)第四组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7357x + 0.1357tv自由

7、落体Linear(自由落体)0f =自由落体第5页第四组0.50 0.40 0.30 0.20 0.10 0.00 0.00 1.00 2.00 3.00 4.00 5.00 y = 9.7357x + 0.1357tv自由落体Linear(自由落体)简谐振动第6页多普勒效应综合实验（简谐振动）班级：姓名：学号：仪器编号：实验日期：表3 简谐振动的测量m=M(kg)x(m)k=(M-m)g/x(kg/s2)0=(k/M)1/2(1/s)N1 maxN11 max0.10670.1422.6363380284.9707089828135简谐振动第7页采样步距为100 ms0.0685kgT=0.

8、01(N11 maxN1 max) (s)=2/T(1/s)(0)/ 0(%)1.274.94488189-0.519585677多普勒效应综合实验（简谐振动）牛顿第二定律第8页多普勒效应综合实验（验证牛顿第二定律）班级：姓名：学号：仪器编号：实验日期：采样步距表4 匀变速直线运动的测量M=0.1079kgC=采样次数i2345678ti (s)0.050.100.150.200.250.300.35Vi0.370.670.961.241.561.772.10Vi0.250.470.700.841.161.401.63Vi0.200.350.530.720.841.071.24Vi0.180.

9、350.530.700.881.051.24Vi0.060.130.210.30.390.490.58组别11.3900.2250.3890.0510.06421.0340.29330.7940.22440.7910.22450.3550.103牛顿第二定律验证0.70000 0.60000 0.50000 0.40000 0.30000 0.20000 0.10000 0.00000 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 y = 7.7899x + 1.0852(1C)Mm/ (1C)MmJ/R2aSeries1Linear(Series1)Linear(Series1)11n iiiVVn=11n iiittn=2211n iiittn=2 2 11n iiittn= 11n iiiiitVtVn=牛顿第二定律第9页50 ms0.07J/R2=0.014kg9a(m/s2)m(kg)(1C)Mm/(1C)MmJ/R20.402.455.820.02050.592131.824.570.03250.462031.403.470.04450.351581.403.510.05650.256640.681.790.08050.10186多普勒效应综合实验（验证牛顿第二定律）牛顿第二定律验证0.70000 0.60000 0.50000