A flywheel turns through $38$ rev as it slows from an angular speed of $1\mathrm{.}1$ rad$/$s to a stop. $($a$)$ Assuming a constant angular acceleration, find the time for it to come to rest. $($b$)$ What is its angular acceleration? $($c$)$ How much time is required for it to complete the first $19$ of the $38$ revolutions?

$($a$)$ Number $$ Units

$($b$)$ Number $$ Units

$($c$)$ Number $$ Units