The final angular velocity is 8.6 rad/s
Explanation:
To solve this problem, we can use the equivalent of the suvat equations for the angular motion. In particular, we can use the following equation:

where:
is the final angular speed
is the initial angular speed
is the angular acceleration
t is the time
For the propeller in this problem, we have:
is the initial angular speed
is the angular acceleration
Substituting t = 3.0 s in the equation, we find the final angular velocity:

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