Small-Angle Approximation in Radians
A simple pendulum of length \(L = 1.0\) m is oscillating under gravity \(g = 9.8\) m/s\(^2\). For small angular displacements (in radians), the approximation \(\sin\theta \approx \theta\) is often used to derive the period of the pendulum. (a) Using the small-angle approximation, show that the period is given by \(T \approx 2\pi\sqrt{\frac{L}{g}}\). Calculate the […]