A turntable spins up from rest with constant angular acceleration \alpha = 3.0\text{rad/s}^2 for 4.0\text{s}. Through what angle has it rotated?

24\text{rad} \theta = \tfrac{1}{2}\alpha t^2 = \tfrac{1}{2}(3.0)(4.0)^2 = 24\text{rad}.

Rotational Kinematics

AP Physics 1· difficulty 2/5

\alpha = 3.0~\text{rad/s}^2

Explanation

\theta = \tfrac{1}{2}\alpha t^2 = \tfrac{1}{2}(3.0)(4.0)^2 = 24~\text{rad}

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