A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, what would its period be?
A)3T
B) $\sqrt { 3 }$ T
C)T
D)T/ $\sqrt { 3 }$
E)T/3

Question

Quizplus · Accepted Answer

The period of a simple pendulum is given by $ T = 2\pi \sqrt{\frac{L}{g}} $. If the acceleration due to gravity is 3 times greater, the period becomes $ T' = 2\pi \sqrt{\frac{L}{3g}} = \frac{T}{\sqrt{3}} $.

A Simple Pendulum Has a Period T on Earth 3\sqrt { 3 }3​

A Simple Pendulum Has a Period T on Earth $\sqrt { 3 }$