At time t$=0$t$=0$ a grinding wheel has an angular velocity of $20\mathrm{.}0$ rad$/$srad$/$s $.$ It has a constant angular acceleration of $30\mathrm{.}0$ rad$/$s$2$rad$/$s$2$ until a circuit breaker trips at time tt $=2\mathrm{.}30$ ss $.$ From then on$,$ the wheel turns through an angle of $435$ radrad as it coasts to a stop at constant angular deceleration.

Part A

Through what total angle did the wheel turn between t$=0$t$=0$ and the time it stopped?

Express your answer in radians.

View Available Hint$($s$)$for Part A

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Part B

At what time does the wheel stop?

Express your answer in seconds.