Answer:
The length of the pendulum is 2.954 m.
Explanation:
Given;
period of the pendulum, T = 3.45 s
The period of the pendulum oscillation is given as;
[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\\frac{T}{2\pi} = \sqrt{\frac{l}{g} }\\\\\frac{T^2}{4\pi ^2} = \frac{l}{g} \\\\l = \frac{gT^2}{4\pi ^2} \\\\[/tex]
where;
L is length of the pendulum
g is acceleration due to gravity on Earth = 9.8 m/s²
[tex]l = \frac{gT^2}{4\pi ^2}\\\\l = \frac{(9.8)(3.45)^2}{4\pi ^2}\\\\l = 2.954 \ m[/tex]
Therefore, the length of the pendulum is 2.954 m.
