What is the In-Flight Temperature of Concorde's Skin?

[azn_enigma]

~~~Now I'm Really Stuck~~~

The supersonic aircraft Concorde has a length of 61.2 m when sitting on the ground on a typical day when the temperature is 16.0 °C. The Concorde is primarily made of aluminum. In flight at twice the speed of sound, friction with the air warms the Concorde's skin and causes the aircraft to lengthen by 25.0 cm. (The passenger cabin is on rollers, so the airplane expands around the passenger cabin.)

Take the coefficient of linear expansion for aluminum to be alpha = 2.40×10−5 /°C

What is the temperature T of the Concorde's skin in flight?


i got 186.2


not sure though :s

 

[radou]

If you followed the expression $$l = l_{0}(1+ k \Delta t)$$, where $$\Delta t = t - t_{0}$$, and k is your coefficient of linear expansion, then it should be correct.