A $3\mathrm{.}2$ kg particle moves in a circle of radius $2\mathrm{.}4$ m$.$ The angular momentum of the particle varies in time according to

l $=4\mathrm{.}2$t$2.$

$($Assume l is in kg $$ m$2/$s when t is in seconds. Enter the magnitudes.$)$

$($a$)$

What is the torque $($in N $$ m$)$ on the particle about the center of the circle at

t $=4\mathrm{.}6$ s$?$

N $$ m

$($b$)$

What is the angular velocity $($in rad$/$s$)$ of the particle at

t $=4\mathrm{.}6$ s$?$