I'm having problems with parts b and c...(adsbygoogle = window.adsbygoogle || []).push({});

At time t= 0 a grinding wheel has an angular velocity of 22.0 rad/s . It has a constant angular acceleration of 26.0 rad/s^2 until a circuit breaker trips at time t= 2.30 s . From then on, the wheel turns through an angle of 436 rad as it coasts to a stop at constant angular deceleration.

a. Through what total angle did the wheel turn between and the time it stopped?

Express your answer in radians.

[tex]\Delta \Theta = 13t^2 + 22t [/tex] at t=2.3s is 119.4rad

Therefore total angle is 119 + 436 = 555rad

b. At what time does the wheel stop?

Express your answer in seconds.

So I know that [tex] \omega_{f} = 0 [/tex] for the wheel to stop

[tex] \omega_{i} = 22.0 rad/s [/tex]

That's as much as I understand...

c. What was the wheel's angular acceleration as it slowed down?

Express your answer in radians per second per second.

Would I use this equation [tex] \omega_{f} = \omega_{i} + \alpha t [/tex]

and just solve for [tex]\alpha[/tex]?

[tex] \omega_{f} = 0

\omega_{i} = 22.0

t = time solved in part b [\tex]

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# Angular Velocity Problem

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