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Newton's Second Law in Rotational Form

AP Physics 1· difficulty 2/5

A net torque of 12 N⋅m12~\text{N·m} acts on a wheel with moment of inertia I=0.30 kg⋅m2I = 0.30~\text{kg·m}^2. What is the angular acceleration?

  • A

    2.5 rad/s22.5~\text{rad/s}^2

  • B

    40 rad/s240~\text{rad/s}^2

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  • C

    4.0 rad/s24.0~\text{rad/s}^2

  • D

    12 rad/s212~\text{rad/s}^2

Explanation

α=τ/I=12/0.30=40 rad/s2\alpha = \tau/I = 12/0.30 = 40~\text{rad/s}^2.

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