# Circular Motion #10

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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