The Angular Acceleration of the Flywheel of a Generator Is $\alpha$

question 15

Multiple Choice

The angular acceleration of the flywheel of a generator is given by
$\alpha$ (t) = 6bt - 12ct²
Where b and c are constants and $\alpha$ is in rad/s² provided t is in seconds. If the initial angular velocity is taken to be $\omega$ ₀, the angular velocity at time t is given by

• A) \(\omega\)₀ + 6bt² - 12ct³
• B) 6b - 24ct
• C) 3bt² - 4ct³ + \(\omega\)₀
• D) 3bt² - 4ct³
• E) 6b - 24ct + \(\omega\)₀