# Percentage error in time period of a pendulum

**Classical Mechanics**Level 5

The bob of a pendulum is released with an amplitude \(\theta = 90^{o}.\) Find the percentage error in the time period of the simple pendulum, if it is calculated by approximating the pendulum to a simple harmonic oscillator.

\(\textbf{Assumptions}\)

\(\rightarrow \text{Length of the pendulum}=2m\)

\(\rightarrow g=9.8\frac{m}{s^2}\)

\(\rightarrow\text{Friction and drag forces are absent.}\)