Coefficients of linear expansion of an isotropic solid along three rectangular axes in the solid are αx,αy and αz. Coefficient of cubical expansion of the solid for small change in temperature can be expressed as : $$($$ assume αx,αy and αzto be small $$quantities)$$

Question

Coefficients of linear expansion of an isotropic solid along three rectangular axes in the solid are αx,αy and αz. Coefficient of cubical expansion of the solid for small change in temperature can be expressed as : $$($$ assume αx,αy and αzto be small $$quantities)$$

Infinity Learn · Accepted Answer

αaverge $$=$$α$$X+$$α$$Y+$$α$$Z3$$ so γ$$=3$$ αave $$=$$α$$x+$$α$$y+$$αz alternate method: $$V=lxlylz=lxo(1+$$αx∆$$T)lyo(1+$$αy∆$$T)$$ $$lZo(1+$$αz∆$$T)$$     ≈$$lxolyolzo1+($$α$$x+$$α$$y+$$α$$z)$$∆T      $$=Vo1+$$γ∆T

Coefficients of linear expansion of an isotropic solid along three rectangular axes in the solid are $α_{x,} α_{y} and α_{z .}$ Coefficient of cubical expansion of the solid for small change in temperature can be expressed as : ( assume $α_{x}, α_{y} and α_{z}$ to be small quantities)

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Coefficients of linear expansion of an isotropic solid along three rectangular axes in the solid are αx,αy and αz. Coefficient of cubical expansion of the solid for small change in temperature can be expressed as : ( assume αx,αy and αzto be small quantities)

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Coefficients of linear expansion of an isotropic solid along three rectangular axes in the solid are $α_{x,} α_{y} and α_{z .}$ Coefficient of cubical expansion of the solid for small change in temperature can be expressed as : ( assume $α_{x}, α_{y} and α_{z}$ to be small quantities)