The temperature at stagnation point is 78246K. The answer is an overestimate of the actual value.
Step-by-step explanation:
Given:
Mach number, M = 38
Atmospheric temperature, Tₐ = 270K
γ = 1.4
Temperature at the station point, Tₓ = ?
We know,
![Tx = Ta * [1 + M^2 * (gamma-1)/2]](https://img.qammunity.org/2021/formulas/engineering/college/9pyma9tamo3h77prb599nvbp97wf2yjk4w.png)
Tₓ = 270 X [ 1 + (38*38) X (1.4-1) /2]
Tₓ = 270 X [ 1 + 577.6/2]
Tₓ = 270 X [1 + 288.8]
Tₓ = 270 X 289.8
Tₓ = 78246K
Therefore, the temperature at stagnation point is 78246K which seems to be inaccurate because the assumption of a calorically perfect gas holds good up to M = 5.
The answer is an overestimate of the actual value.