91Ó°ÊÓ

The time period of a simple pendulum is defined as the time taken by the pendulum to complete one oscillation.

It is given by,

$T=2\mathrm{Ï€}\sqrt{\frac{L}{g}}$

Here,

$T$is the time period

$L$is the length of the string to the pendulum

$g$is the acceleration due to gravity

Amplitude of a simple pendulum is defined as the maximum displacement of the pendulum from its mean position.

From the formula of time period, it is evident that $\mathit{L}$and $\mathit{g}$are constant and thus the time period of the pendulum does not depend on its amplitude.

Therefore, the time period of a simple pendulum will not be affected by change in the amplitude of the pendulum.

Consider a pendulum clock as an example, it runs down and its amplitude decreases a little but the clock is able to maintain nearly correct time.

So, we can say that the pendulum is a useful timekeeper as is almost independent of its amplitude. (Given the amplitude is small)