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Question: Answered & Verified by Expert
A body of mass' $\mathrm{m}$ ' and radius of gyration ' $\mathrm{K}$ ' has an angular momentum ' $L$ '. Then its angular velocity is
PhysicsRotational MotionMHT CETMHT CET 2021 (24 Sep Shift 1)
Options:
  • A $\frac{\mathrm{L}}{\mathrm{mK}^2}$
  • B $\frac{\mathrm{mK}^2}{\mathrm{~L}}$
  • C $\frac{\mathrm{K}^2}{\mathrm{~mL}}$
  • D $\mathrm{mK}^2 \mathrm{~L}$
Solution:
2923 Upvotes Verified Answer
The correct answer is: $\frac{\mathrm{L}}{\mathrm{mK}^2}$
$\begin{aligned} & \mathrm{I}=\mathrm{mK}^2 \text { and } \mathrm{L}=\mathrm{I} \omega=\mathrm{mK}^2 \omega \\ & \therefore \omega=\frac{\mathrm{L}}{\mathrm{mK}^2}\end{aligned}$

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