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If I is moment of inertia of a disc about an axis passing through its centre then change in moment of inertia due to smal change in its temperatureDeltat is (alpha is coefficient of linear expansion). |
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Answer» Solution :LET `I=(MR^(2))/(2)` then `DELTAI=(M)/(2) 2R DeltaR` `(DeltaI)/(I)=(MR DeltaR)/(MR^(2)//2)=2(DeltaR)/(R )` but `(DeltaR)/(R )=ALPHA Deltat RARR (DeltaI)/(I)=2alpha DeltaT and DeltaI=2I alpha Deltat`. |
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