A cylindrical object of diameter 900 mm is designed to move axially in air at
60 m/s. Its drag is estimated on a geometrically half-scaled model in water,
assuming flow similarity.
Coefficients of dynamic viscosity and densities for air and water are
1.86 × 10ିହ Pa-s, 1.2 kg/m3 and 1.01 × 10ିଷ Pa-s, 1000 kg/m3 respectively.
Drag measured for the model is 2280 N. Drag experienced by the full-scale object
is ____ N (rounded off to the nearest integer).
Options:
(A) 322
(B) 644
(C) 1288
(D) 2576
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.39)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Incompressible & Compressible Aerodynamics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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