A spinning wheel slows down to a stop with an angular acceleration of $=-0\mathrm{.}7$ rad$/$sec$2.$ It rotates through an angular distance of $10$ radians before it comes to a stop. a$.(5$ points$)$ What was its initial angular speed? b$.(5$ points$)$ How many seconds does it take for the wheel to stop? c$.(5$ points$)$ If the mass of the wheel is $0\mathrm{.}3$ kg$,$ the radius is $0\mathrm{.}4$ m$,$ and the equation for the moment of inertia for the wheel is given by $=2,$ find the torque that is exerted on the wheel as it is slowing down.