Angle of Attack: Why Pilots Fly Differently at High & Low Altitude

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Pilots must fly at a greater angle of attack at high altitudes due to lower air density, which affects lift generation. At high altitudes, the thinner air requires a steeper angle to maintain sufficient lift for the aircraft. Conversely, at low altitudes, the denser air allows for a lower angle of attack to achieve the same lift. This difference in air pressure and density directly influences flight dynamics and pilot control. Understanding these factors is crucial for safe and efficient aircraft operation.
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Homework Statement



"When a jet plane is cruising at high altitude, the flight attendants have more of a hill to climb as they walk forward along the aisle when the plane is cruising at low altitude. Why does the pilot have to fly with a great angle of attack at high altitude than at low altitude?"

Homework Equations


The Attempt at a Solution



Something to do with pressure?
 
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Density
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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