Question

The supersonic airliner Concorde is 62.1 m long when sittingon

Answer 1

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 $182.74020\ ^{\circ}C$