The angular velocity of a particle performing circular motion is \(\omega \ \hat{i}\).

\(\omega \) varies with time according to the following equation:

\[ \omega = - \sin \left( \pi t + \frac{\pi}{3} \right) \]

If the particle moves in a circle of radius \( \pi \), what is the total **distance** traversed by the particle from \( t = 0 \) to \( t = 5 \) ?

This problem is part of the set - Circular Motion Practice

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