ENGINEERINGIf gear A rotates with an angular velocity of
$\omega_{A}=(\theta_{A}+1)$ rad/s, where $\theta_{A}$ is the angular displacement of gear A, measured in radiance, determine the angular acceleration of gear D when $\theta_{A}$=3 rad, starting from rest. Gears A, B, C, and D have radii of 15 mm, 50 mm, 25 mm and 75 mm, respectively.