A $300$ g point mass is fixed to the end of a light string fixed at one end. Starting from rest, it begins to rotate with a constant angular acceleration of $3\mathrm{.}00ra\frac{d}{s^2}.$ The radius of the rotation is $2\mathrm{.}00$ m $.$

a$)$ What amount of time will it take the object to complete its $1^{st}$ full revolution?

b$)$ What will the angular speed of the object be after completing $5$ full revolutions?

c$)$ What centripetal force will act on the mass after a time of $10\mathrm{.}00$ seconds?