摘要:这篇论文是把一种测量重力加速度的新方法（即双线摆测量重力加速度）与单摆测量重力加速度进行比较研究。首先进行双线摆测量实验，通过控制变量，选长度相同的两条摆线，固定两悬点之间的距离，利用游标卡尺测出小球的直径，从而计算出小球的半径，进一步计算出双线摆的等效摆长，即等效摆长为摆球中心到两个悬点中心的垂直距离，测量过程中通过调节两个悬点在米尺上的九个不同位置，来测出九种不同位置下摆球连续摆动30个周期所用的时间，对实验结果进行误差分析，求出利用双线摆测量的最接近理论值的重力加速度。接下来则是利用单摆进行实验，测量九种不同摆线长情况下，每种摆长下摆球连续摆动30个周期所需要的时间，然后算出单摆测量的重力加速度，并对实验结果进行误差分析，记录单摆最佳测量时所测重力加速度，最后对单摆和双线摆的最佳实验结果进行科学分析比较，比较哪种情况更加接近理论值，然后得出结论，结合实验中得到的结论和发现的问题，可以设计出更好的实验方案。
关键词：双线摆；单摆；重力加速度；等效摆长；周期
ABSTRACT:This essay is a kind of new method of measuring gravity acceleration (i.e. double pendulum measurement gravity acceleration) and single pendulum measurement gravity acceleration comparative studies. First, by double pendulum measurement control variables, choose the length of the same two cycloid, fixed the distance between the two suspended points, measured by the diameter of vernier caliper, and small balls, calculated the radius of the double pendulum further calculated long, namely equivalent equivalent place for pendulum ball placed long to center of vertical suspension point center two distance, measured by adjusting the two suspended during the nine points on the meter scale beside different position, to measure the nine different position hem swinging 30 cycle ball continuous time used, error analysis of experimental results using double pendulum, ask out the most close to the theoretical value measurement of gravity acceleration. The next simple pendulum is to use test, measurement nine different cycloid long cases, each place long tail ball swing 30 cycle for the time required, and then calculate the gravity acceleration simple pendulum measurement, and the experimental results for error analysis, record when measuring the best single pendulum measured gravity acceleration and evolvement of single pendulum, and finally the best experimental results set scientific analysis comparison, more what is more close to the theoretical value, then draw the conclusion, combining experiments the conclusion and the problems found, can design a better experiment scheme.
Keywords: Double pendulum; Single pendulum; Gravity acceleration; Equivalent place long; cycle
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