At time t$=0$ a grinding wheel has an angular velocity of $26\mathrm{.}0$ rad$/$s $.$ It has a constant angular acceleration of $33\mathrm{.}0$ rad$/$s$2$ until a circuit breaker trips at time t $=2\mathrm{.}30$ s $.$ From then on$,$ the wheel turns through an angle of $435$ rad as it coasts to a stop at constant angular deceleration. Through what total angle did the wheel turn between t$=0$ and the time it stopped?