Effect of moment of inertia of a rigid body due to thermal expansion is Δ$$II=x$$αΔt where $$x=(where$$ I is moment of inertia;∆I is change in moment of inertia; α is coefficient of linear expansion of solid;∆t is change in $$temperature)$$

Question

Effect of moment of inertia of a rigid body due to thermal expansion is  Δ$$II=x$$αΔt where  $$x=(where$$ I is moment of inertia;∆I is change in  moment of inertia;  α is coefficient of linear expansion of solid;∆t is change in $$temperature)$$

Infinity Learn · Accepted Answer

moment of inertia $$I=mK2$$ m is mass; K is radius of gyration on differentiating above equation and dividing same with above equation ∆$$II=2$$∆KK fractional change in moment of inertia is ∆$$II=2$$α∆t α is coefficient of linear expansion of solid ∆t is change in temperature

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Effect of moment of inertia of a rigid body due to thermal expansion is ΔII=xαΔt where x=(where I is moment of inertia;∆I is change in moment of inertia; α is coefficient of linear expansion of solid;∆t is change in temperature)

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