A disk $8\mathrm{.}02$ cm in radius rotates at a constant rate of $1120$ rev$/$min about its central axis.

$($a$)$ Determine its angular speed.

rad$/$s

$($b$)$ Determine the tangential speed at a point $3\mathrm{.}06$ cm from its center.

m$/$s

$($c$)$ Determine the radial acceleration of a point on the rim.

magnitude km$/$s$2$direction$---$Select$---$toward the center$$away from the center

$($d$)$ Determine the total distance a point on the rim moves in $1\mathrm{.}98$ s$.$

m