Question

What determines the period of a pendulum?

Answer 1

The length of the pendulum and the acceleration of gravity determine the period of a pendulum.

Explanation:

We all are familiar with the pendulum and its motion. The way it swings from its rest position to the left and right ends with specific amplitude.

A pendulum can be simply defined as an object hung of a static point with a bob connected to it through a string.

When the bob is raised to the either direction from its rest position, it swings back and forth because of the acceleration (g). A complete back and forth swing of a bob from its rest position in the pendulum is counted as one complete period of a pendulum.

This primarily depends on length and acceleration. For simple pendulums, formula to evaluate its period is,

                            $T=2 \pi \sqrt{\frac{L}{g}}$

Where,

L- length of the string from the static suspension point to the bob in the pendulum

g- Acceleration due to gravity = 9.8 $m / s^{2}$

Answer 2

The length of the string must vary, while the angle and acceleration are constant