The operating characteristics of a pump were measured to be
2 PCa = , where
power coefficient
35P
PC D= ,
is the flow coefficient,
a is a constant,
D is a
length scale,
is the rotation rate,
is fluid density, and
P is the power
required. The flow coefficient is a dimensionless volume flow rate scaled with
and
D . Assuming that the flow rate remains the same, if the rotation rate is
increased to
1.25 , the power changes to
P . The value of
is ________ .
(round off to two decimal places)
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.55)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Structural Mechanics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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