We have angular acceleration, angular velocity, and angular displacement. The angular acceleration is raised to a power of θ. Thus, we know this is a rotational kinematics problem with calculus.

A motor gives gear A an angular acceleration of α_{A}=(2+0.006θ^{2})rad/s^{2}, where θ is in radians. If this gear is initially turning at ω_{A}=15 rad/s, determine the angular velocity of gear B after A undergoes an angular displacement of 10 rev.

Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise.

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