Final answer:
The angular acceleration of the flywheel cannot be determined with the given information.
Step-by-step explanation:
The angular acceleration of the flywheel can be calculated using the formula:
angular acceleration = (final angular velocity - initial angular velocity) / time
In this case, the final angular velocity is 100 rad/s, the initial angular velocity is unknown, and the time is 6.0 s. Therefore, we need to find the initial angular velocity.
We can rearrange the formula as:
initial angular velocity = final angular velocity - (angular acceleration * time)
Since we don't have the initial angular velocity, we cannot determine the value of the angular acceleration. Therefore, none of the given options (-5 rad/s^2, -10 rad/s^2, -15 rad/s^2, -20 rad/s^2) are correct.