利用突变弦线探究波速与线密度之间的函数关系

INVESTIGATION OF FUNCTION BETWEEN THE WAVE VELOCITY AND LINEAR DENSITY BASED ON A SEGMENTED STRING

针对均质弦线中波速随线密度变化不易直观观察的问题,本文设计了基于突变弦线的驻波装置。实验发现,在线密度较大的弦线中,波速较小。同时,本文测量了两部分弦线的线密度之比和波速之比,拟合得到了波速随着线密度变化的函数关系。相比均质弦线,突变弦线的驻波装置具有较小的系统误差,同时具有使用方便、现象直观和数据丰富的特点。

It was difficult to observe directly how the wave velocity in the homogeneous string changed with its linear density.In the paper,a standing wave device based on the segmented string was developed to solve the above problem.It was found that the wave velocity is smaller in the string segment with higher linear density.Moreover,the function of wave velocity about the linear density was obtained by measuring the ratio of linear density and wave velocity of the two segments of the string.Compared to the standing wave device based on the homogeneous wire,the device based on the segmented wire had many advantages,involving the smaller system error,easy control,intuitive phenomenon,and abundant data.