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Question

A body having a moment of inertia about its axis of rotation equal to $3 \, \text{kg} \cdot \text{m}^2$ is rotating with an angular velocity of $3 \, \text{rad} \, \text{s}^{-1}$. The kinetic energy of this rotating body is the same as that of a body of mass $27 \, \text{kg}$ moving with velocity $v$. The value of $v$ is

$1 \, \text{m} \, \text{s}^{-1}$

$0.5 \, \text{m} \, \text{s}^{-1}$

$2 \, \text{m} \, \text{s}^{-1}$

$1.5 \, \text{m} \, \text{s}^{-1}$

Solution

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