A Pitot-static probe installed in a subsonic calibration wind tunnel measures a dynamic pressure $q = 600\text{ Pa}$. If the test section air density is $\rho = 1.20\text{ kg/m}^3$, what is the measured flow velocity (in m/s)?

Answer Key:

31.62

### 5-Stage Derivation & Analytical Solution: 1. **Stage 1: Bernoulli Relationship:** Dynamic pressure $q = p_0 - p_\infty = \frac{1}{2}\rho V^2$. 2. **Stage 2: Inversion for Velocity:** $V = \sqrt{\frac{2q}{\rho}}$. 3. **Stage 3: Computation:** $V = \sqrt{\frac{2(600)}{1.20}} = \sqrt{1000} \approx 31.62277\text{ m/s}$. 4. **Stage 4: Final Value:** 31.62 (range 31.5 to 31.7).

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