A Pitot-static probe is used to measure the speed of an aircraft flying at4000 m. Assume that the density of the atmosphere at that height is 0.82 kg/m3. Ifthe differential pressure reading is 3.5 kPa, determine the speed of the aircraft.

Respuesta :

Answer:

The speed of the aircraft is  [tex]V_1 = 92.0 \ \frac{m}{s}[/tex]

Explanation:

Assumptions.

1. flow of air is steady & incompressible.

2. Frictional effects are neglected.

From the Bernoulli's equation

The velocity of the jet is given by  

[tex]V_{1} = \sqrt{2(\frac{P_2 - P_1}{\rho}) }[/tex]

Here [tex]P_2 -P_1 = 3500 \ Pa[/tex]

[tex]\rho = 0.82 \frac{kg}{m^{3} }[/tex]

Thus velocity

[tex]V_{1} = \sqrt{2(\frac{3500}{\ 0.82}) }[/tex]

[tex]V_1 = 92.0 \ \frac{m}{s}[/tex]

Therefore the speed of the aircraft is  [tex]V_1 = 92.0 \ \frac{m}{s}[/tex]