A uniform brass disc of radius and mass m is set into spinning with angular speed ω0, about are axis passing through centre of disc and perpendicular to the plane of disc. If its temperature increases from θ1∘C to θ2∘C without disturbing the disc, what will be its new angular speed ? (the coefficient of linear expansion of brass is α)
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a
ω01+2αθ2−θ1
b
ω01+αθ2−θ1
c
ω01+2αθ2−θ1
d
none of these
answer is C.
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Detailed Solution
Using the principle of conservation of angular momentum, we have Li=Lf or I0ω0=Iω∴ ω=I0ω0IHere I=I01+2αθ2−θ1∴ ω=I0ω0I01+2αθ2−θ1=ω01+2αθ2−θ1