# Percentage error in time period of a pendulum

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.

$$\textbf{Assumptions}$$

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

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

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

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