The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f(l)=2pi√l/32 where l is the length of the pendulum in feet what is the length of a pendulum that takes 2.4 pi seconds to swing back and forth?

46.08 ft

doesn't feel right but if you plug it in it works

2.4pi=2pi(46.08/32)^1/2

we are given

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation as

where l is the length of the pendulum in feet

We have

so, we can set them equal and then we can solve for l

Firstly, we will take square both sides

So,

The length of a pendulum that takes 2.4 pi seconds to swing back and forth is 46.08 feet..........Answer

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