How long does it take for a rotating object to speed up from 15.0 rad/s to 33.3 rad/s if it has a uniform angular acceleration of 3.45 rad/s²? A)4.35 s B)5.30 s C)9.57 s D)10.6 s E)63.1 s

Question

Quizplus · Accepted Answer

The relationship between angular acceleration, final angular velocity, initial angular velocity, and time can be expressed as:

angular acceleration = (final angular velocity - initial angular velocity) / time

In this case, we know the initial angular velocity (15.0 rad/s), the final angular velocity (33.3 rad/s), and the angular acceleration (3.45 rad/s²). We can rearrange the formula to solve for time:

time = (final angular velocity - initial angular velocity) / angular acceleration

time = (33.3 rad/s - 15.0 rad/s) / 3.45 rad/s²

time = 18.3 rad/s / 3.45 rad/s²

time = 5.30 s

Therefore, the best choice is B) 5.30 s.

How Long Does It Take for a Rotating Object to Speed