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