A disk rotates around a circle of radius $r = 0.5$ m with frequency $f = 2$ Hz. Find the centripetal acceleration of a point on the edge of the disk.
Link the frequency to the angular velocity:
$$\omega = 2\pi f = 2\pi \cdot 2 = 4\pi \text{ rad/s}$$
Centripetal acceleration:
$$a = \omega^2 r = (4\pi)^2 \cdot 0.5 = 16\pi^2 \cdot 0.5 = 8\pi^2 \approx 78.9 \text{ m/s}^2$$
$a \approx 78.9$ m/s²