Question: A simple pendulum is set into oscillation from its rest position by giving it an angular velocity of (1 mathrm{rad} / mathrm{s}). It is found

A simple pendulum is set into oscillation from its rest position by giving it an angular velocity of $1 \mathrm{rad} / \mathrm{s}$. It is found to oscillate with an amplitude of $0.5 \mathrm{rad}$. Find the natural frequency and length of the pendulum.

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