Simple Pendulum Video Lessons

Concept

# Problem: 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) 7 B) 3T C) T/3 D) T/√3E) √3T

###### FREE Expert Solution

The time period of a simple pendulum is expressed as:

$\overline{){\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}\sqrt{\frac{\mathbf{l}}{\mathbf{g}}}}$, where l is the length of the pendulum and g is the acceleration due to gravity.

Now, the new g is given by:

gnew = 3g

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###### Problem Details

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) 7

B) 3T

C) T/3

D) T/√3

E) √3T