Respuesta :
Answer:
v = 306.76 Km/h
Explanation:
given,
height of the aircraft = 3000 m
differential pressure reading = 3300 N/m²
density of air = 0.909 Kg/m³
speed of aircraft = ?
Assuming the air flowing above air craft is in-compressible, irrotational and steady so, we can use Bernoulli's equation to solve the problem.
using Bernoulli's equation
[tex]\dfrac{v^2}{2} = \dfrac{\Delta P}{\rho}[/tex]
where ρ is the density of the air at 3000 m
[tex]v= \sqrt{\dfrac{2 \times \Delta P}{\rho}}[/tex]
[tex]v= \sqrt{\dfrac{2 \times 3300}{0.909}}[/tex]
[tex]v = \sqrt{7260.726}[/tex]
v = 85.21 m/s
[tex]v= 85.21 \times \dfrac{3600}{1000}[/tex]
v = 306.76 Km/h
