At $t=0$ a grinding wheel has an angular velocity of $26\mathrm{.}0ra\frac{d}{s}.$ It has a constant angular acceleration of $28\mathrm{.}0ra\frac{d}{s^2}$ until a circuit breaker trips at time $t=2\mathrm{.}20s.$ From then on$,$ it turns through an angle $435$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.

Part B

At what time did it stop?

Express your answer in seconds.

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Part C

What was its acceleration as it slowed down?

Express your answer in radians per second squared.

$\sqrt[0]{}$

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$?$

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