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A thin ring of radius R is made of a wir...

A thin ring of radius R is made of a wire of density `rho` and Young’s modulus Y. It is spun in its own plane, about an axis through its centre, with angular velocity w. Determine the amount (assumed small) by which its circumference increases.

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The correct Answer is:
`(2pi rho R^(3) omega^(2))/(Y)`
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