Temp 18 Celsius Alpha 2.40 x 10 to the 5 HW t Concorde in Flight Concorde in Fli

Question

Temp 18 Celsius Alpha 2.40 x 10 to the 5
HW t Concorde in Flight Concorde in Flight The supersonic aircraft Concorde has a length of 61.9 m when sitting on the ground on a typical day when the temperature is 18.0 °C The Concorde is primarily made olaluminum. In flight at twice the speed of sound, friction with the air warms the Concorde's skin and causes the aircraft to lengthen by 20.0 cm (The passenger cabin is on rollers, so the airplane expands around the passenger cabin) Take the coefficient of linear expansion for aluminum a 40x10 s/oc to be

Explanation / Answer

Change in Length = alpha x (initial length) x (change in temp)

L =   L T
0.20 m = 2.4 x 10-5/C(61.9 m)(Tf - 18 C)
(0.20 m/(2.4 x 10-5/C(61.9 m))) + 18 = Tf
Tf = 152.6 °C

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