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Rotational Kinematics

AP Physics 1· difficulty 2/5

A wheel starting from rest has angular acceleration 5 rad/s25~\text{rad/s}^2. Through what total angle has it rotated after 4.0 s4.0~\text{s}?

  • A

    80 rad80~\text{rad}

  • B

    10 rad10~\text{rad}

  • C

    40 rad40~\text{rad}

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  • D

    20 rad20~\text{rad}

Explanation

θ=12αt2=12(5)(16)=40 rad\theta = \tfrac{1}{2}\alpha t^2 = \tfrac{1}{2}(5)(16) = 40~\text{rad}.

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