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- Steve4PhysicsLv 71 month ago
α₁ = temperature coefficient of expansion for brass

α₂ = temperature coefficient of expansion for aluminium

Increase in length of brass is α₁*2.0*(T – 21.3)

Increase in length of aluminium α₂*1.0*(T – 21.3)

These have got to add-up to the initial gap size:

α₁*2.0*(T – 21.3) + α₂*1.0*(T – 21.3) = 1.72*10^-3

(T – 21.3)(2α₁ + α₂) = 1.72*10^-3

T = 21.3 + (1.72*10^-3/(2α₁ + α₂))

I don’t know what values you have for α₁ and α₂, but just put them in the above equation.

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