How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an 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

Using the formula:

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

rearranging for time:

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

time = (33.3 rad/s - 15.0 rad/s) / 3.45 rad/s^2

time = 5.22 seconds (rounded to two decimal places)

Therefore, the best choice is B, 5.30 s, since this is the closest value provided in the answer choices.

How Long Does It Take for a Rotating Object to Speed