A liquid is contained in a U-tube as is shown in Fig. P7.11R. When the liquid is displac...

A liquid is contained in a U-tube as is shown in Fig. P7.11R. When the liquid is displaced from its equilibrium position and released, it oscillates with a period . Assume that τ is a function of the acceleration of gravity, g, and the column length, l. Some laboratory measurements made by varying and measuring τ, with g = 32.2 ft/s², are given in the following table.

Based on these data, determine a general equation for the period.