At $t=0$ a grinding wheel has an angular velocity of $28\mathrm{.}0ra\frac{d}{s}.$ It has a constant angular acceleration of $34\mathrm{.}0ra\frac{d}{s^2}$ until a circuit breaker trips at time $t=2\mathrm{.}30s.$ From then on$,$ it turns through an angle $432$rad as it coasts to a stop at constant angular acceleration.

Part A

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

Express your answer in radians.

$=$

rad

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Part B

At what time did it stop?

Express your answer in seconds.

$t=s$

Part C

What was its acceleration as it slowed down?

Express your answer in radians per second squared.

$=$

$ra\frac{d}{s^2}$