A centrifugal compressor is designed to operate with air. At the leading edge of the
tip of the inducer (eye of the impeller), the blade angle is 45o, and the relative Mach
number is 1.0. The stagnation temperature of the incoming air is 300 K. Consider
= 1.4. Neglect pre-whirl and slip. The inducer tip speed is ________ m/s (rounded
off to the nearest integer).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.58)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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