\textbf{164-} A particle moves with constant speed $v = 10\pi\,\dfrac{\text{m}}{\text{s}}$ on a circular path of radius $20\,\text{m}$. The average centripetal acceleration of this particle in each second is how many times its centripetal acceleration?
$$\frac{3\sqrt{2}}{\pi} \ (1) \qquad\qquad \frac{5}{\pi} \ (2) \qquad\qquad 5\sqrt{2} \ (3) \qquad\qquad \sqrt{2} \ (4)$$
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