A body is in pure rotation. The linear speed \( v \) of a particle, the distance \( r \) of the ...

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A body is in pure rotation. The linear speed \( v \) of a particle, the distance \( r \) of the particle from the axis and the angular velocity \( \omega \) of the body are related as \( \omega=\frac{v}{r} \). Thus,(a) \( \omega \propto \frac{1}{r} \)(b) \( \omega \propto r \)(c) \( \omega= \) zero(d) \( \omega \) is independent of \( r \)
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