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Rolling

AP Physics 1· difficulty 1/5

A hoop of radius 0.20 m0.20~\text{m} rolls without slipping at a translational speed of 3.0 m/s3.0~\text{m/s}. What is its angular speed?

  • A

    0.60 rad/s0.60~\text{rad/s}

  • B

    6.0 rad/s6.0~\text{rad/s}

  • C

    1.5 rad/s1.5~\text{rad/s}

  • D

    15 rad/s15~\text{rad/s}

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Explanation

Rolling constraint: v=Rω⇒ω=v/R=3.0/0.20=15 rad/sv = R\omega \Rightarrow \omega = v/R = 3.0/0.20 = 15~\text{rad/s}.

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