Chapter 10 - Section 10.6 - Radical Equations and Problem Solving - Exercise Set - Page 732: 73

One conjecture is that the greater the length, the longer the period.

Three of the previous exercises show the following lengths and periods. (The final exercise was not solved at the time of this problem.) length of 2, period of $\pi/2$ length of 3.583, period of $2\pi/3$ length of 7.295, period of 3