Physics Homework Help?

Question

A pendulum has a period of 1.94 s on Earth

What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?

Answer 1

Step 1:

The pendulum has time period is .

Find the length of the pendulum.

The time period of the simple pendulum is , where is the length of the pendulum and is acceleration due to gravity.

Substitute and in .

.

The length of the pendulum is .

Step 2:

Find the time period of the pendulum on mars.

The acceleration of gravity on mars is about 0.37 that on earth.

.

Substitute and in .

.

The time period of the pendulum on mars is .

Solution:

The time period of the pendulum on mars is .