In a wind tunnel experiment, a team uses pitot tube to measure flow velocity, given the pressure difference equals 50 Pa, calculate the velocity. Assume p 1.16 kg/m a. 100.18 m/s b. 20.2 m/s c. 19.8 m/s d. 9.3 m/s

Respuesta :

Answer:

d. 9.3 m/s

Explanation:

Pressure difference = ΔP = P₁ - P₂ = 50 Pa

Density of air = ρ = 1.16 kg/m³

For a Pitot tube

[tex]P_1-P_2=\frac{1}{2}\rho v^2\\\Rightarrow \Delta P=\frac{1}{2}\rho v^2\\\Rightarrow v=\sqrt{\frac{2\times \Delta P}{\rho}}\\\Rightarrow v=\sqrt{\frac{2\times 50}{1.16}}=9.28\approx 9.3\ m/s[/tex]

∴ Flow velocity is 9.3 m/s