Question

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi startroot startfraction l over 32 endfraction endroot, where l is the length of the pendulum in feet what is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth? 1.72 ft 3.05 ft 38.40 ft 46.08 ft

Answer 1

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

What is the equation for the time it takes for the pendulum to swing back and forth?

The equation is given as follows:

$f(l) = 2\pi\frac{l}{32}$

In which l is the length of the pendulum.

In this problem, we have that $f(l) = 2.4\pi$, hence:

$f(l) = 2\pi\frac{l}{32}$

$2.4\pi = 2\pi\frac{l}{32}$

l = 32 x 1.2

l = 38.4 ft.

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Answer 2

Answer:

c

Step-by-step explanation:

just did it