Two bars, one copper one steel. Steel one is 500mm and the copper one is 25mm?
Two bars, one copper one steel. Steel one is 500mm and the copper one is 25mm
less. Coefficient of expansion for the bars are 12×10^-6 and 17×10^-6 for steel
and copper respectively. Initial Temperature is 20 degrees C. What is the final
temperature when both bars have equal length?
∆L/L = α∆T, α is linear thermal expansion coef
∆L = αL∆T
Copper ∆L = (17e-6)475∆T
Steel ∆L = (12e-6)500∆T
final length = L+ ∆L
Copper L+ ∆L = 475+ (17e-6)475∆T
Steel L+ ∆L = 500+ (12e-6)500∆T
set them equal
475 + (17e-6)475∆T = 500 + (12e-6)500∆T
solve for ∆T
0.008075∆T = 25 + 0.006∆T
0.002075∆T = 25
∆T = 12048º
seems high, but the change is large. Copper melts at 1085º so the temperature is meaningless.
U2 – One – Anton Corbjin Version
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