Question

A simple pendulum has a frequency of 0.2 Hz on Earth. It is brought to Mars where g is 38% of its value on Earth. What will be the pendulum's frequency on Mars?

Answer 1

The frequency of the pendulum on the Earth is given by

where 'L' is the length of the pendulum and 'g' is the acceleration due to gravity.

so, we can write

Therefore

Now given

so,

or,

given

therefore

the pendulum's frequency on Mars will be 0.123Hz