An aluminum wing on a passenger jet is 38 m long when its temperature is 21°C. At what temperature would the wing be 8 cm (0.08 m) shorter?

Question

Please Note:

1. The proposed Coefficient for Aluminum per this textbook is listed as 25 x 10^-6/C
2. Please provide the Equation best used to calculate this for similar questions in the future.

Answer 1

ΔL = α * L * ΔT

0.08 = 25 x 10^-6 x 38 x ΔT

0.08 m = (25 x 10^-6 / °C) * 38 m * (21°C - T₂)

T₂ = -3179 °C