At t $=3\mathrm{.}00$ s$,$ a point on the rim of a $0\mathrm{.}20$ m radius wheel has a tangential speed of

$50\mathrm{.}0$ m$/$s as the wheel

with a tangential acceleration of constant magnitude $=-10\mathrm{.}0$ m$/$ s$^2$

a$.$ Calculate the wheel$$s constant angular acceleration.

b$.$ Calculate the angular velocities at t $=3\mathrm{.}00$ s and t $=0\mathrm{.}0$ s$.$

c$.$ Through what angle did the wheel turn between t $=0\mathrm{.}0$ s and t $=3\mathrm{.}0$ s$?$

d$.$ At what time will the radial acceleration equal g$?$