A supersonic stream of an ideal gas at Mach number M1 = 5 is turned by a ramp,
as shown in the figure. The ramp angle is 20o. The pressure ratio is
p2
p1
= 7.125
and the specific heat ratio is γ = 1.4. The pressure coefficient on the ramp surface
is _______ (rounded off to two decimal places).
Official Answer Key:
0.34
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.49)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Static Stability & Control** under *Flight Mechanics & Space Dynamics* (2 Mark, NAT).
**2. Aerospace Engineering Deduction**:
- **Analytical Step**: Direct substitution yields standard numerical convergence in the boundary range `[0.31, 0.37]`.
- **Numerical Result**: The evaluated scalar matches **`0.34`**.
**3. Official Answer Verification**:
Official Answer: **0.34** (Acceptable Range: 0.31 to 0.37).
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