Question

The angular velocity of an airplane propeller increases from 12.0 rad/s to 16.0 rad/s while turning through 7.00 rad. What is the angular acceleration in rad/s^2?

Answer 1

The angular acceleration is

$$\alpha=\frac{\omega_1^2-\omega_2^2}{2\phi}=8\text{ rad/s}^2.$$