An optical disk drive in a computer can spin a disk at up to $10,000rpm.$ A particular disk is spun at $5330$ rpm while it is being read, and then is allowed to come to rest over $0\mathrm{.}502$ s $.$

What is the magnitude ${}_{\text{a}\text{v}\text{g}}$ of the average angular acceleration of the disk?

${}_{\text{a}\text{v}\text{g}}=$

$ra\frac{d}{s^2}$

The disk is $12\mathrm{.}0$ cm in diameter.

What is the magnitude of the tangential acceleration $a_t$ of a point $\frac{1}{8}$ of the way out from the center of the disk?

$a_t=,\frac{m}{s^2}$