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Conservation of Angular Momentum

AP Physics 1· difficulty 3/5

A spinning disk (I1=4 kg⋅m2I_1 = 4~\text{kg·m}^2, ω1=6 rad/s\omega_1 = 6~\text{rad/s}) is dropped onto a stationary identical disk and they instantly grip. The final angular speed is

  • A

    3 rad/s3~\text{rad/s}

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  • B

    6 rad/s6~\text{rad/s}

  • C

    2 rad/s2~\text{rad/s}

  • D

    00

Explanation

I1ω1=(I1+I2)ω′⇒ω′=(4)(6)/8=3 rad/sI_1\omega_1 = (I_1 + I_2)\omega' \Rightarrow \omega' = (4)(6)/8 = 3~\text{rad/s}.

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