基于PASCO转动实验装置的质点转动惯量测量

Measuring the Rotational Inertia of the Particle by the PASCO Rotating Experimental Device

为提高实验的精确度,减少实验误差,在PASCO转动实验装置中运用落体法对质点转动惯量进行测量.实验结果表明,下落加速度a应取v-t图像的斜率,并非a-t图像的截距;对同一转动系统,通过2次改变悬挂物的质量m下落来消除阻力矩对实验结果的影响;为了减少2次下落时阻力矩的误差,悬挂物的质量差Δm越小,实验结果越精确,相对误差最小值达到0.54%.

Taking advantage of the PASCO rotational experiment device,the author measured the inertia of a particle through the law of falling bodies.It is found that the falling acceleration a should be the slope of the v-t graph instead of the intercept of a-t graph;and for the same rotation system,the influence of resisting moment on the experiment is eliminated by twice changing the mass m of the hanging object.To reduce the error of resisting moment at the second falling,the smaller the differenceΔmis,the more accurate the experimental results will be,and the minimum relative error will reach 0.54%.