The simple pendulum model does not take into account some factors that affect actual pendulums. It is a close approximation in many cases. The formulas are much simpler than the formulas for the actual motion of the pendulum. That's why it's called simple. But if the 'swinging angle' is too large the simpler formulas are no longer accurate. Also if the rod, which the pendulum is suspended on, has too large a mass in relation to the pendulum weight, then the simple formulas won't work.
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A simple pendulum exhibits simple harmonic motion
applications of simple pendulum
The simple pendulum can be used to determine the acceleration due to gravity.
A simple pendulum has one piece that swings. A complex pendulum has at least two swinging parts, attached end to end. A simple pendulum is extremely predictable, while a complex pendulum is virtually impossible to accurately predict.
A simple pendulum.