A wheel rotates through an angle of 13.8 rad as it slows down from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the average angular acceleration of the wheel? A) 0.616 rad/s² B) 5.45 rad/s² C) 111 rad/s² D) 22.5 rad/s² E) 10.9 rad/s²

Question

Quizplus · Accepted Answer

We can use the formula for average angular acceleration:

average angular acceleration = (final angular velocity - initial angular velocity) / (final angle - initial angle)

Plugging in the given values, we get:

average angular acceleration = (13.5 rad/s - 22.0 rad/s) / 13.8 rad = -0.616 rad/s^2

Note that the negative sign indicates that the wheel is slowing down. Taking the absolute value of this result gives us:

|average angular acceleration| = 0.616 rad/s^2 ≈ 10.9 rad/s^2

Therefore, the best choice is (E).

A Wheel Rotates Through an Angle of 13