An object rotates with a constant angular acceleration of 5.0 rad/s², an initial angular speed of -10. rad/s, and a total time of rotation of 4.0 s. The instant at which the object has a zero instantaneous angular speed is A) 1.0 s. B) 2.0 s. C) 3.0 s. D) 4.0 s.

Question

Quizplus · Accepted Answer

The formula to find the time when the object has a zero instantaneous angular speed is $t = \frac{-\omega_0}{\alpha}$, where $\omega_0$ is the initial angular speed and $\alpha$ is the angular acceleration. Plugging in the values, $t = \frac{-(-10)}{5} = 2.0$ s.

An Object Rotates with a Constant Angular Acceleration of 5