基于改进型阿特伍德机的重力加速度测量

Measurement of Gravity Acceleration Based on Atwood Machine

阿特伍德机是用于测量加速度和验证运动定律的力学实验装置。本文通过增加滑轮组提高系统在实验中的稳定性,增加运动控制装置消除在改变小质量时的初速度的不良影响,通过等加速度方程对加速度求解的,并通过对实验过程的考虑以及对数据的处理方法的选择,同时我们对空气阻力以及滑轮转动惯量计算的修正方法,通过PASCO测量系统测得到精确的加速度,通过对多组加速度数据的分析,依据拟合得到重力加速的大小,武汉地区的实验数据为9.79±0.08 m/s^(2)。

Atwood machine is a mechanical experimental device used to measure acceleration and verify the laws of motion.The stability of the system is improved by adding pulley block and the motion control device is added to eliminate the adverse effect of the initial velocity when changing the small mass.Through the solve for acceleration of uniform acceleration equations,and by considering the experimental process and the selection of the method of data processing,we modify the calculation method of the air resistance and the moment of inertia of the pulley,through PASCO precise acceleration measurement system,and through the analysis of multiple sets of acceleration data,on the basis of fitting get the size of the acceleration of gravity,the experiment data of Wuhan area was 9.79±0.08 m/s^(2).