What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s²? A)99 cm B)97 m C)6.2 cm D)3.1 m E)2.0 m

Question

Quizplus · Accepted Answer

The period $T$ of a simple pendulum is given by $T = 2\pi\sqrt{\frac{L}{g}}$, where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity. Rearranging for $L$, we get $L = \frac{gT^2}{4\pi^2}$. Substituting $g = 9.8 \, \text{m/s}^2$ and $T = 2.0 \, \text{s}$, we find $L \approx 0.99 \, \text{m}$ or 99 cm.

What Must Be the Length of a Simple Pendulum with a Period