A disk $8\mathrm{.}00$ cm in radius rotates at a constant rate of $1200$ rev$/$min about

its central axis.

Determine $($a$)$ its angular speed in radians per second, $($b$)$ the tangential speed at a

point $3\mathrm{.}00$ cm from its center, $($c$)$ the centripetal acceleration of a point on the rim,

and $($d$)$ the total distance a point on the rim moves in $2\mathrm{.}00$ s$.$

Answers: $($a$)126$ rad$/$s $($b$)3\mathrm{.}77$ m$/$s $($c$)1260$ m$/$s$2($d$)20\mathrm{.}2$ m