Suppose a yo$-$yo has a center shaft that has a $0\mathrm{.}200$ cm radius and that its string is being pulled.

$($a$)$

If the string is stationary and the yo$-$yo accelerates away from it at a rate of $1\mathrm{.}40$ m$/$s$2,$ what is the angular acceleration of the yo$-$yo in rad$/$s$2?$

rad$/$s$2$

$($b$)$

What is the angular velocity in rad$/$s after $0\mathrm{.}750$ s if it starts from rest?

rad$/$s

$($c$)$

The outside radius of the yo$-$yo is $3\mathrm{.}30$ cm$.$ What is the tangential acceleration in m$/$s$2$ of a point on its edge?

m$/$s$2$