A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?
A) 6.00 s
B) 2.00 s
C) 3.46 s
D) 1.15 s
E) 0.667 s

Question

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?
A)  6.00 s
B)  2.00 s
C)  3.46 s
D)  1.15 s
E)  0.667 s

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. Tripling the length of the pendulum ($L$ becomes $3L$) results in a new period $T' = 2\pi\sqrt{\frac{3L}{g}}$. This can be simplified to $T' = \sqrt{3}T$. Given that $T = 2.00$ s, $T' = \sqrt{3} \times 2.00$ s $= 3.46$ s.

A Simple Pendulum Takes 2