Question

An aircraft flies at sea level at a speed of 220 m/s. What is the highest pressure that can be acting on the surface of the aircraft?

Answer 1

highest pressure = 101325 + 29524 = 130849 Pa

Step-by-step explanation:

the highest pressure that can act at the sea level is the sum of dynamic pressure (due to flowing fluid) and the static pressure (due to stationary fluid).

P =P_static + P-dynamic

P_static = 1 atm = 101325 Pa

P_dynamic = 0.5*p*v^2

where p: density of fluid = 1.22 kg/m^3 at sea level

v: fluid velocity = 220m/s

P_dynamic = 0.5 * 1.22*220^2 = 29524 Pa

highest pressure = 101325 + 29524 = 130849 Pa

Answer 2

An aircraft flying at sea level with a speed of 220 m/s, has a highest pressure of 29136.8 N/m²

Step-by-step explanation:

Applying Bernoulli's equation, we determine the highest pressure on the aircraft.

`P = (1)/(2) \rho V^2`

where;

P is the highest pressure on the aircraft

`\rho` is the density of air = 1.204 kg/m³ at sea level temperature.

V is the velocity of the aircraft = 220 m/s

P = 0.5*1.204*(220)² = 29136.8 N/m²

Therefore, an aircraft flying at sea level with a speed of 220 m/s, has a highest pressure of 29136.8 N/m²