Answer on Mechanics | Relativity Question for mike
Answer in units of degrees C.
The change in the linear dimension can be estimated by the formula:
Δ L = α * L * Δ T
In our case to slip over the rod the ring must have minimum diameter equal to the diameter of the rod:
D1+ΔD1 = D2 + ΔD2
D1 + D1* α1 * ΔT = D2 + D2* α2* ΔT
Δ T = (D1-D2)/(α2D2-α1D1)= (8-8.06)/(1.9*8.06-2.4*8) x105 = 154.4 C.
Δ T = T - Tinitial
T = Δ T +Tinitial = 154.4 + 21 = 175.4 C.
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