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pentagon [3]
3 years ago
13

The supersonic airliner Concorde is 62.1 m long when sittingon

Physics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

182.74020\ ^{\circ}C

Explanation:

L = Initial length = 62.1 m

\alpha = Coefficient of linear expansion of Aluminium = 24\times 10^{-6}/^{\circ}

T_i = Initial temperature = 15°C

T_f = Final temperature

\Delta L = Change in length = 25 cm

Change in length due to heat is given by

\Delta L=L\alpha \Delta T\\\Rightarrow\Delta L=L\alpha (T_f-T_i)\\\Rightarrow T_f=\dfrac{\Delta L}{L\alpha}+T_i\\\Rightarrow T_f=\dfrac{0.25}{62.1\times 24\times 10^{-6}}+15\\\Rightarrow T_f=182.74020\ ^{\circ}C

The temperature of the Concorde's skin in flight is 182.74020\ ^{\circ}C

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