Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.
The equation is given as follows:
[tex]f(l) = 2\pi\frac{l}{32}[/tex]
In which l is the length of the pendulum.
In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:
[tex]f(l) = 2\pi\frac{l}{32}[/tex]
[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]
l = 32 x 1.2
l = 38.4 ft.
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