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结合光电计时器测加速度的两种方案,首先分析了常规数据处理的误差来源,给出了计算加速度的准确表达式,并举例计算了两种方案对应的相对误差;然后利用控制变量思维,通过改变不同条件求出两种方案对应的误差变化并借助MATLAB作图加以形象描述,发现挡板宽度越小、两光电门之间的距离越大、出发点距光电门的距离越远等情况误差越小,同时测量两光电门之间的距离比测量挡板通过两光电门时间计算的误差要小很多。
Combined with the two schemes of photoelectric timer measuring acceleration, the error sources of routine data processing are analyzed first, and the exact expression of calculating acceleration is given. The relative errors of the two schemes are calculated by examples. Then by using control variables, Change the different conditions to find the two programs corresponding to the error changes and the use of MATLAB to describe the image to describe and found that the smaller the width of the baffle, the greater the distance between the two photoelectric gate, starting point away from the photoelectric gate, the more the error Small, while measuring the distance between the two photoelectric door than the measurement of the shutter through the two photoelectric door time to calculate the error is much smaller.