A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t³, where θ is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s? A)−1.0 rad/s² B)−24 rad/s² C)−2.0 rad/s² D)−4.0 rad/s² E)−3.5 rad/s²

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Quizplus · Accepted Answer

The angular acceleration is the second derivative of the angular position with respect to time. Differentiating θ = 3.0 − 2.0t^3 twice gives the angular acceleration as -12t. At t = 2.0 s, the angular acceleration is -12(2) = -24 rad/s².

A Wheel Rotating About a Fixed Axis Has an Angular