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What is the work done in increasing the ...

What is the work done in increasing the angular frequency of a circular ring of mass `2kg` and radius `25cm` from `10` rpm to `20` rpm about ist axis ?

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Work done `=` Increase in rotational kinetic
energy `=(1)/(2)I(omega_(f)^(2)-omega_(i)^(2))=(1)/(2)MR^(2)(omega_(f)^(2)-omega_(i)^(2))`
`=(1)/(2)xx2xx(0.25)^(2)(((2pi)/(3))^(2)-((pi)/(3))^(2))=0.2058J`
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