$($

$1$

$.$

$)$

A rotating disk accelerates uniformly from

$3$

$0$

$0$

$.$

$0$

r

e

v

m

i

n

to

$1$

$.$

$5$

$0$

$\backslash$times

$1$

$0$

$3$

rev

$/$

min in

$5$

$.$

$0$

$0$

s

$.$

a

$)$

What is the

$($

constant

$)$

angular acceleration of the disk

$($

in

r

a

d

$2$

s

$2$

$)$

$?$

b

$)$

How many revolutions did the disk make during the five seconds?