What is the length of a simple pendulum with a period of 2.0 s?
A) 0.99 m
B) 0.87 m
C) 1.6 m
D) 20 m
E) 1.2 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 ($9.8 \, \text{m/s}^2$). Rearranging for $L$, we get $L = \frac{gT^2}{4\pi^2}$. Substituting $T = 2.0 \, \text{s}$ and $g = 9.8 \, \text{m/s}^2$, we find $L \approx 0.99 \, \text{m}$.

What Is the Length of a Simple Pendulum with a Period