Question

the formula relates the time, t, in seconds for a pendulum with the length, l, in feet, to make one full swing back and forth. what is the length of a pendulum that makes one full swing in 2.2 seconds? use 3.14 for .

Answer 1

This shows that the length of a pendulum that makes one full swing in 2.2 seconds is 392.71 feet.

Given the formula for calculating the length of the pendulum expressed as:

$T= 2\pi\sqrt{\frac{L}{32} }$ where:

L is the length of the pendulum

T is the period of the pendulum

Given the following parameters:

Period T = 2.2 seconds

Substitute the given parameters into the formula will give;

$2.2=2\pi \sqrt{\frac{L}{32} }\\ (\frac{22}{6.58} )^2 =\frac{L}{32} \\L=3.5032 \times 32\\L = 3.92.71 feet$

So, this shows that the length of a pendulum that makes one full swing in 2.2 seconds is 392.71 feet.

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