Answer to Question #278924 in Classical Mechanics for joseph

Question

1. An airplane is flying at an altitude of 10,500 m. Determine the gage pressure at the stagnation point on the nose of the plane if the speed of the plane is 450 km/h. How would you solve this problem if the speed were 1050 km/h? Explain.

2 The water pressure in the mains of a city at a particular location is 270 kPa gage. Determine if this main can serve water to neighborhoods that are 25 m above this location.

Answer 1

1.

$p=\frac{\rho v^2}2+\rho gh=43~kPa,$

if the airplane speed is increased to 1050 km/h, the flow will be considered compressible because at low speed gases are considered to be incompressible.

2.

$p=\rho gh=250~\text{kPa}$ needed,

this main can serve water to neighborhoods.