A rotating wheel accelerates at a constant rate from an angular speed of $29$ rad$/$s to $40$ rad$/$s in a time interval of $9$ s$.$

$($a$)$ What is the angular acceleration in rad$/$s$/$s$?$

rad$/$s$/$s

$($b$)$ What is the average angular speed?

rad$/$s

$($c$)$ What is the angle in radians through which the wheel rotates?

rad

$($d$)$ What is this angle in degrees?

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