A solid, uniform disk of radius $0\mathrm{.}250$ m and mass $45\mathrm{.}3$ kg rolls down a ramp of length $4\mathrm{.}40$ m that makes an angle of $16\mathrm{.}0$ with the horizontal. The disk starts from rest from the top of the ramp.

$($a$)$ Find the speed of the disk's center of mass when it reaches the bottom of the ramp.

m$/$s

$($b$)$ Find the angular speed of the disk at the bottom of the ramp.

rad$/$s