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:
[tex]T = 2 \pi \sqrt{\frac{L}{32} }[/tex] 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;
[tex]2.2 = 2 \pi \sqrt{\frac{L}{32} }\\(\frac{22}{6.28})^2 =\frac{L}{32}\\ 3.5032^2 = \frac{L}{32}\\L = 3.5032^2 \times 32\\L = 392.71feet[/tex]
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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