Write the equation that represents the relation between time period $(T)$ and angular frequency $(\omega)$.

(N/A) The angular frequency $(\omega)$ of an oscillating system is defined as the rate of change of phase angle with respect to time.
For a complete cycle, the phase changes by $2\pi$ radians, and the time taken is the time period $(T)$.
Therefore, the relationship is given by:
$\omega = \frac{2\pi}{T}$
Alternatively, it can be expressed as $T = \frac{2\pi}{\omega}$.