The length of this pendulum that makes one full swing is 3.93 meters.
Given the following data:
To determine the length of this pendulum that makes one full swing:
Mathematically, the time taken by this pendulum is given by this formula:
[tex]T=2\pi \sqrt{\frac{L}{32} }[/tex]
Making L the subject of formula, we have:
[tex]T^2 = 4\pi ^2 \frac{L}{32} \\\\32T^2 =4\pi ^2L\\\\L=\frac{32T^2}{4\pi ^2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]L=\frac{32 \times 2.2^2}{4 \times (3.14)^2 } \\\\L=\frac{32 \times 4.84}{4 \times 9.8596 }\\\\L=\frac{154.88}{39.4384}[/tex]
L = 3.93 meters.
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