A $43\mathrm{.}0-$cm diameter disk rotates with a constant angular acceleration of $2\mathrm{.}90$ rad$/$s$2.$ It starts from rest at t $=0,$ and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of $57\mathrm{.}3$ with the positive x$-$axis at this time.

$($a$)$ At t $=2\mathrm{.}47$ s$,$ find the angular speed of the wheel.

rad$/$s

$($b$)$ At t $=2\mathrm{.}47$ s$,$ find the magnitude of the linear velocity and tangential acceleration of P$.$

linear velocity$$ m$/$stangential acceleration$$ m$/$s$2$

$($c$)$ At t $=2\mathrm{.}47$ s$,$ find the position of P $($in degrees, with respect to the positive x$-$axis$).$

$$ counterclockwise from the $+$x$-$axis